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Covers Newton's laws of motion, rotational motion, gravity, equilibrium and elasticity, fluid mechanics, temperature, heat, and the laws of thermodynamics.

What force is necessary to generate a 20.0 N*m torque at an angle of 50 degrees from along a 3.00 m rod?

- a. 3 N
**b. 2 N**- c. none of the choices
- d. 2.3 N

To satisfy first condition of equilibrium, if rightward forces are positive, leftward forces must be:

- a. positive
- b. halved
**c. negative**- d. doubled

Laws to regulate measurement were originally developed to prevent fraud.

**True**- False

280 feet = _____________ meter ?

- a. 853.44 meter
**b. 85.344 meter**- c. 8534.4 meter
- d. none of the choices

What is the boiling point of water at sea level?

- a. 30 centigrade
- b. none of the choices
**c. 100 centigrade**- d. 0 centigrade

It is decimalized system of measurement based on the metre and the gram.

- a. Si units
- b. None of the choices
**c. Metric system**- d. English system

700 yard = __________ cm ?

**a. 64,008 cm**- b. 65,008 cm
- c. 64,800 cm
- d. 65,800 cm

Types of Si units which is the simple measurement for time, length, mass, temperature, amount of substance, electric current, and light intensity.

- a. Metric unit
- b. derived units
- c. None of the choices
**d. Base unit**

It is made of base unit for example, density.

- a. Metric units
- b. Base units
- c. None of the choices
**d. derived units**

The resultant and equilibrant of several sets of such known forces are determined by both graphical and analytical methods.

**a. method**- b. none of the choices
- c. object
- d. theory

Equilibrium is the tendency of a force to cause an object to rotate about an axis.

- True
**False**

The resultant of non-concurrent force system is defined according to _________, __________, and ___________.

- a. none of the choices
- b. speed, inclination, position
**c. magnitude, inclination, position**- d. magnitude, displacement, position

It is the science of describing the motion of objects using words, diagrams, numbers, graphs, and equations

**a. kinematics**- b. dynamics
- c. none of the choices
- d. statics

Determine the resultant of the force system shown in the figure and its x and y intercepts.

**a. 161.314 lb**- b. none of the choices
- c. 163.114 lb
- d. 164.311 lb

Such an object will rise until its velocity is ______________.

- a. 2
**b. 0 or zero**- c. 3
- d. 5

68 fahrenheit = _______________ kelvin ?

**a. 293.15 kelvin**- b. 93.15 kelvin
- c. 23.15 kelvin
- d. none of the choices

Suzie applies a force of 40.0 N at an angle of 60 degrees up from the horizontal to a wooden rod using a spring scale. If she generates a torque of 73.0 N*m, how long was the rod?

- a. 211 m
**b. 2.11 m**- c. none of the choices
- d. 21.1 m

120 centigrade = _____________ Fahrenheit ?

- a. 244 Fahrenheit
**b. 248 Fahrenheit**- c. 482 Fahrenheit
- d. 842 Fahrenheit

180 kelvin = ____________ fahrenheit ?

- a. 135.67 fahrenheit
- b. 13.567 fahrenheit
**c. none of the choices**- d. 1357.7 fahrenheit

If there is a great number of forces, the ___________ to this system would potentially be simpler if the forces that are applied to the system are easy to break into components.

- a. logical solution
**b. algebraic solution**- c. none of the choices
- d. graphical solution

The angle between the two Force is scalar is one of the three quantities of torque magnitude.

**True**- False

The magnitude of torque depends on two quantities only.

- True
**False**

120.5 centigrade = _______________ kelvin ?

- a. 93.65 kelvin
- b. none of the choices
- c. 33.65 kelvin
**d. 393.65 kelvin**

Quantities that are fully described by both magnitude and a direction.

- a. acceleration
- b. scalars
- c. velocity
**d. vectors**

170 centigrade = ______________ fahrenheit ?

- a. none of the choices
**b. 338 fahrenheit**- c. 383 fahrenheit
- d. 388 fahrenheit

Varignon’s Theorem states that the sum of torques due to several forces applied to a single point is equal to the torque due to the sum (resultant) of the forces.

**True**- False

In triangle DEF, side e = 8 cm, f = 10 cm, and the angle at D is 60°. Find side d.

- a. 8.57
- b. 7.21
**c. 9.17**- d. 8.24

What is the magnitude of the sum of the two forces shown in the diagram below?

- a. 102 N
- b. 137 N
**c. 46 N**- d. 142 N

5.2 L = ________ gal ?

- a. 3.71 gal
- b. 52.13 gal
**c. 1.37 gal**- d. 2.53 gal

Quantities that are fully described by a magnitude.

- a. vectors
- b. none of the choices
**c. scalars**- d. direction

The temperature unit commonly used in USA is Centigrade.

- True
**False**

An Airplane accelerates down a runway at 3.20m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

**1721**

100 cm = ______ in?

- a. 38 in
- b. 37.39 in
- c. 35 in
**d. 39.37 in**

A body at rest or moving with uniform velocity will have acceleration

- a. max
- b. min
**c. 0**- d. 1

86.3 liter = ____________ gal ?

- a. 2.279 gal
**b. 22.798 gal**- c. none of the choices
- d. 227.98 gal

The motion of objects can not be described by words

- True
**False**

520 mm = _______________ inch

- a. 24.720
- b. 27.420
- c. 22.470
**d. 20.472**

What is the acronym of NIST?

**a. National Institute of Standards and Technology**- b. None of the choices
- c. Nation Institute of Standard and Technology
- d. National Institute of Science and Technology

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

- a. 1725 m
- b. none of the choices
- c. 1715 m
**d. 1720 m**

The cable and boom shown in the figure support a load of 600 lb. Determine the tensile force T in the cable and the compressive for C in the boom. NOTE : see fig-5 from the LIST OF FIGURE in Week-1

**a. T = 439.24 lb , C = 537.94 lb**- b. T = 49.24 lb , C = 57.94 lb
- c. T = 43.24 lb , C = 53.94 lb
- d. none of the choices

550 m =________ in ?

- a. 23.6535 in
- b. 23,653.5 in
**c. 21,653.5 in**- d. 21.6535 in

The figure represents the concurrent force system acting at a joint of a bridge truss. Determine the value of P and F to maintain equilibrium of the forces. NOTE : see fig-9 from the LIST OF FIGURE in Week-1

- a. P = 65.45 lb, F = 12.44 lb
- b. none of the choices
- c. P = 265.45 lb, F = 472.44 lb
**d. P = 165.45 lb, F = 412.44 lb**

The 300-lb force and the 400-lb force shown in the figure are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F.

- a. 5.31 lb
- b. F = 20.31 lb
**c. F = 205.31 lb**- d. none of the choices

The pressure units commonly used in the USA include the inch of mercury and the atmosphere (29.92 inches of mercury).

**True**- False

What is the acronym of NPL?

- a. National Power Laboratory
**b. National Physical Laboratory**- c. Nation Physical Laboratory
- d. None of the choices

The length of the lever arm connecting the axis to the point of the force application is one of the three quantities of torque magnitude.

**True**

All free-falling objects (on Earth) accelerate at a rate of _____________.

- a. none of the choices
- b. 98m/s2
- c. 9.8m/s
**d. 9.8m/s2**

21 yard = __________ foot ?

- a. 6.3 foot
**b. 63 foot**- c. none of the choices
- d. 0.63 foot

120 lbs = _____ kg?

**a. 54.4 kg**- b. 53.54 kg
- c. 45.45 kg
- d. 40.40 kg

The number of seconds it will require to make one complete vibration or one up and down is called?

- a. none of the choices
- b. displacement
**c. period**- d. waves

One atmosphere is equivalent to 14.7 pounds per square inch.

**True**- False

Is defined as the projection of uniform circular motion on a straight line.

- a. none of the choices
**b. simple harmonic motion**- c. period
- d. motion

122 meter = ______________ inches ?

- a. 48031.5 inches
**b. 4803.15 inches**- c. 480.315 inches
- d. none of the choices

100 inches = ____________ meter

**a. 2.54 meter**- b. 5.24 meter
- c. 25.4 meter
- d. none of the choices

Free-falling objects always encounter air resistance.

- True
**False**

A uniform rod of length 50cm and mass 0.2kg is placed on a fulcrum at a distance of 40cm from the left end of the rod. At what distance from the left end of the rod should a 0.6kg mass be hung to balance the rod?

**a. 45 cm**- b. 4.5 cm
- c. none of the choices
- d. 54 cm

The word measurement is derived from the Greek word ______________.

- a. none of the choices
**b. metron**- c. metre
- d. meter

Determine the values of α and θ so that the forces shown in the figure will be in equilibrium.

**a. α =46.57 degrees and θ = 28.96 degrees**- b. α =4.57 degrees and θ = 58.96 degrees
- c. α =6.57 degrees and θ = 2.96 degrees
- d. none of the choices

Torque is defined as the cross product of the lever arm distance vector and the force vector.

**True**- False

If ∠A = 89 o and ∠C = 56o, find the value of ∠B.

- a. 25
**b. 35**- c. 55
- d. 45

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

**a. 8.10 m/s2**- b. none of the choices
- c. 81.10 m/s2
- d. 810 m/s2

At sea level, the freezing temperature of water is 32 degrees Fahrenheit and the boiling point of water is 212 degrees Fahrenheit.

**True**- False

A 5.0 m-long uniform beam is held in position by a cord as shown in the diagram. If the tension in the cord is 8.0 N, what is the weight of the beam?

- a. 4.8 N
- b. 8.0 N
**c. 18 N**- d. 9.6 N

To find the resultant vector's magnitude, use the _________ theorem

- a. Parallelogram
- b. Polygon
**c. Pythagorean**- d. Trigonometric

It is tendency of a force to cause an object to rotate abut an axis.

- a. Equilibrium
- b. Vectors
**c. Torque**- d. Resultant

It is a bob suspended from a very light string or rod.

- a. none of the choices
- b. waves
- c. period
**d. simple pendulum**

The motion of a body which repeats itself at regular intervals of time or period.

- a. displacement
**b. periodic motion**- c. none of the choices
- d. simple harmonic motion

A cylinder weighing 400 lb. is held against a smooth incline by means of the weightless rod AB in the figure. Determine the forces P and N exerted on the cylinder by the rod and the incline. NOTE : see fig-6 from the LIST OF FIGURE in Week-1

**a. P = 0.9038 N , N = 418.60 lb**- b. P = 90.38 N , N = 41.860 lb
- c. none of the choices
- d. P = 9038 N , N = 4186.0 lb

"Sum of all forces acting on a body is zero". This condition represents equilibrium's

**a. First condition**- b. Fourth condition
- c. Second condition
- d. Third condition

If the polygon is closed, the resultant is a vector of zero magnitude and has no direction. This is called the ________ vector.

- a. full
- b. none of the choices
- c. both A and B
**d. empty**

When the cycle in harmonic curve is repeated successively the result will be a series of__________?

**a. waves**- b. period
- c. displacement
- d. none of the choices

It is the world’s most widely used system of units, both in everyday commerce and in science.

- a. Metric system
- b. None of the choices
- c. English system
**d. SI units**

185 fahrenheit = __________ centigrade ?

- a. 8.5 centigrade
**b. 85 centigrade**- c. 0.85 centigrade
- d. none of the choices

The symbol of torque is the Greek word for TAO.

- True
**False**

In practice, every three calendar years will have 365 days, and every fourth year is a “leap year”, which has 366 days, to make up for the extra quarter day over four years.

**True**- False

You are helping your aunt move a piano on wheels from one room to another. When you push the piano horizontally, it moves at constant speed. What can you say about the piano?

- It is in equilibrium because it doesn’t experience a friction force.
**It is in equilibrium because it experiences net force opposite to the friction force**- It is in static equilibrium.
- It is in dynamic equilibrium.

560 Kelvin = ______________ Celsius

- a. 288.65
**b. 286.85**- c. 200.85
- d. 256.88

100 m = ______ yrd ?

**a. 109.361 yrd**- b. 361.109 yrd
- c. 190.361 yrd
- d. 111.36 yrd

The mathematical quantities that are used to describe the motion of objects can be divided into three categories.

- True
**False**

The three forces in the figure create a vertical resultant acting through point A. If T is known to be 361 lb., compute the values of F and P. NOTE: see fig-4 from the LIST OF FIGURE in week-1

- a. none of the choices
**b. F = 253.29 lb , P = 507.06 lb**- c. F = 2532.9 lb , P = 50.706 lb
- d. F = 25.329 lb , P = 507.06 lb

The term torque was introduced into English scientific literature by Lord Kevin, in 1884.

- True
**False**

350 Fahrenheit = _____________ Celsius

- a. 160.76
**b. 176.667**- c. 167.66
- d. 17.67

Does a bridge anchored resting on two pillars have any torque?

- a. No, Bridge can't have torque
**b. Yes, but it is at equilibrium**- c. No, it isn't moving
- d. Yes, but it will soon break because of the torque

500 g = __________ lbs?

- a. 9.1 lbs
**b. 1.1 lbs**- c. 11.1 lbs
- d. 10.1 lbs

What is the standard unit of force?

- a. None of the choices
- b. Joules
**c. Newton**- d. Grams

The SI for torque is _______________.

- a. Meter
- b. Newton
- c. kg*m/s
**d. N⋅m**

50 kg = ____ g ?

- a. 51,000 g
- b. 52,000 g
- c. 40,000 g
**d. 50,000 g**

Forces P and F acting along the bars shown in the figure maintain equilibrium of pin A. Determine the values of P.

- a. none of the choices
- b. P = 4.76 kN
**c. P = -14.76 kN**- d. P = 14.76 kN

An object that is falling under the sole influence of gravity.

- a. free fall
- b. range
**c. free falling object**- d. none of the choices

The main advantages of the metric system is that it has many base unit for each physical quantity.

- True
**False**

A 300-lb box is held at rest on a smooth plane by a force P inclined at an angle θ with the plane as shown in the figure. If θ = 45°, determine the value of P and the normal pressure N exerted by the plane.

**a. P = 212.13 lb , N = 409.81 lb**- b. P = 2121.3 lb , N = 40981 lb
- c. P = 21213 lb , N = 40.981 lb
- d. none of the choices

It is autonomous of the body’s mass.

- a. projectile
**b. free fall**- c. free falling object
- d. none of the choices

A millimeter is about the thickness of a dime.

**True**- False

One ____________ would be to resolve a pair of forces using the parallelogram or triangle method into a resultant.

**a. graphical method**- b. logical method
- c. none of the choices
- d. algebraic method

The force applied is one of the three quantities of torque acceleration.

- True
**False**

The vectors are translated, to a common origin.

**a. Parallelogram Method**- b. Sine and Cosine Method
- c. Trigonometric Method
- d. Polygon Method

If the body is in equilibrium under the action of a number of the forces, then the algebraic sum of the moments of the forces about any point is equal to one.

- True
**False**

Defined as the cross product of the lever arm distance vector and the force vector.

- a. velocity
**b. none of the choices**- c. acceleration
- d. equilibrium

Once we know how long the projectile stayed in the air, finding the _____________ from the horizontal motion is simple.

- a. free falling object
**b. range**- c. none of the choices
- d. trajectory height

The maximum value of the sine function.

- a. 3 or three
- b. 4 or four
**c. 1 or one**- d. 2 or two

Freezing point of water at sea level

- a. 112 centigrade
**b. 0 centigrade**- c. 50 centigrade
- d. 100 centigrade

25.8 lbs = ___________ grams ?

- a. 11.70 grams
- b. 1170.268 grams
**c. 11702.68 grams**- d. none of the choices

When elastic bodies vibrate they produce the simplest type of periodic motion.

**a. simple harmonic motion or SHM**- b. simple pendulum
- c. period
- d. none of the choices

Standard unit of length in metric system.

- a. decimeter
- b. centimeter
- c. kilometer
**d. None of the choices**

standard unit of volume in metric system.

**a. liter**- b. kiloliter
- c. milliliter
- d. centiliter

A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2. Determine the time for the feather to fall to the surface of the moon.

**a. 1.29 sec**- b. none of the choices
- c. 1.39 sec
- d. 13.9 sec

A shot at an initial velocity at an angle above the horizon.

- a. free fall
- b. kinematics
**c. projectile**- d. none of the choices

In order to add ______ quantities, one has merely to make the algebraic addition.

- a. Vector
- b. Resultants
**c. Scalar**- d. magnitude

In the United States, the National Physical Laboratory (NPL), a division of United States Department of Commerce, regulates commercial measurements.

- True
**False**

200 Fahrenheit =_______ centigrade ?

- a. 33.39 centigrade
**b. 93.33 centigrade**- c. 39.33 centigrade
- d. 33.33 centigrade

Cords are loop around a small spacer separating two cylinders each weighing 400 lb. and pass, as shown in the fig-12 from the LIST OF FIGURE in Week-1 over a frictionless pulley to weights of 200 lb. and 400 lb. Determine the angle θ.

- a. θ = 70 degrees
- b. none of the choices
**c. θ = 60 degrees**- d. θ = 76 degrees

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car.

- a. 12.1 m/s2
- b. none of the choices
**c. 11.2 m/s2**- d. 1.12 m/s2

250 kelvin = ___________ centigrade ?

**a. none of the choices**- b. 23.15 centigrage
- c. 2.315 centigrade
- d. 231.5 centigrade

Equilibrium occurs when…

**a. all of the choices**- b. the net force on the object is zero.
- c. all the forces acting on an object are balanced.
- d. the sum of the upward forces equals the sum of the downward forces.

In a certain non-concurrent force system it is found that summation of fx=-80lb, summation of fy=160lb and summation Mo=480lb-ft in a counterclockwise sense. Determine the point at which the resultant intersects the y-axis.

- a. 8 ft
- b. 7 ft
**c. 6 ft**- d. none of the choices

Two weightless bars pinned together as shown in the fig-15 from the LIST OF FIGURE in Week-1 support a load of 35 kN. Determine the forces P and F acting respectively along bars AB and AC that maintain equilibrium of pin A.

**a. P = 90.14 kN, F = 64.03 kN**- b. P = 900.14 kN, F = 4.03 kN
- c. none of the choices
- d. P =9.14 kN, F = 6.03 kN
- d. 8 ft

Since all of these forces are not entirely parallel, the position of the resultant can be established using the ________ or ________ methods.

- a. graphical, logical
- b. none of the choices
- c. analytical, graphical
**d. graphical, algebraic**

There are only two types of SI units, based and derived units.

**True**- False

If a body is in rest or in uniform velocity, it is said to be in

- a. Uniform motion
**b. Equilibrium**- c. Constant force
- d. Rest

Determine the magnitude of P and F necessary to keep the concurrent force system in the figure in equilibrium. NOTE : see fig-8 from the LIST OF FIGURE in week-1

- a. P = 133.25 N, F = -86.37 N
- b. P = -13.325 N, F = -86.37 N
**c. P = -133.25 N, F = 86.37 N**- d. none of the choices

Three forces act on a point: 3 N at 0°, 4 N at 90°, and 5 N at 217°. What is the net force?

- a. 2.1 N, 125 degrees
- b. 1.4 N, 125 degrees
**c. 1.4 N, 135 degrees**- d. 2.1 N, 135 degrees

Standard unit of mass in metric system.

- a. milligram
- b. decigram
**c. gram**- d. centigram

150 gram = _______________ kilogram ?

**a. 0.15 kg**- b. none of the choices
- c. 15 kg
- d. 1.5 kg

An object thrown upward with velocity will rise to a height.

- a. free fall
**b. trajectory height**- c. motion
- d. range

If net force acting on body is zero then body is said to be.

- a. not in equilibrium
- b. Imbalanced
**c. In equilibrium**- d. none of the choices

Commonly defined as the amount of heat energy required to raise the temperature of one gram of water by one degree celsius.

- a. gravity
**b. calorie**- c. none of the choices
- d. joules

The moment of the resultant of a system of forces with respect to any axis or point is equal to the vector sum of the moments of the individual forces of the system with respect to the same access or point.

**True**- False

460 Kelvin = ____________ Fahrenheit

- a. 333.86
**b. 368.33**- c. 300.33
- d. 386.33

The sum of the clockwise moments equals sum of the anticlockwise moments when the body is in equilibrium.

**True**- False

When displacement is plotted against time, the result will be a _________?

- a. displacement
- b. period
- c. simple pendulum
**d. harmonic curve**

175 m = _______________ yrd

- a. 195.382
- b. 193.182
- c. 198.132
**d. 191.382**

Two vectors A and B are added by drawing the arrows which represents the vector in such a way that the initial point of B is on the terminal point of A. The resultant C = A + B, is the vector from the initial point of A to the terminal point of B.

**a. Polygon Method**- b. Head-to-Tail Method
- c. Parallelogram Method
- d. Trigonometric Method

Two students are balancing on a 10m seesaw. The seesaw is designed so that each so that each side of the seesaw is 5m long. The students on the left weight 60kg and standing 3m away from the center. The student on the right weighs 45kg. The seesaw is parallel to the ground. Assume the board that makes the seesaw is massless. What distance from the center should the student on the right be if they want the seesaw to stay parallel to the ground?

**a. 4 m**- b. none of the choices
- c. 5 m
- d. 6 m

The moment caused by the resultant force about some arbitrary point is equal to the sum of the moment due to all of the component forces of the system.

**True**- False

The motion is repeated in the same length of time.

**a. angular harmonic motion**- b. acceleration
- c. none of the choices
- d. period

Cords are loop around a small spacer separating two cylinders each weighing 400 lb. and pass, as shown in the fig-12 from the LIST OF FIGURE in Week-1 over a frictionless pulley to weights of 200 lb. and 400 lb. Determine the angle θ.

- a. θ = 70 degrees
**b. θ = 60 degrees**- c. none of the choices
- d. θ = 76 degrees

It is The Internationally recognized standard metric system.

- a. English System
**b. International System of Units**- c. Metric System
- d. None of the choices

150 Fahrenheit =_______ kelvin?

- a. 706.38 kelvin
**b. 338.706 kelvin**- c. 87.33 kelvin
- d. 33.87 kelvin

The distance of the mass below or above from the center position, or rest position.

- a. waves
- b. periodic motion
**c. displacement**- d. none of the choices

The ______ in simple harmonic motion is proportional and opposite to the displacement.

- a. period
**b. acceleration**- c. displacement
- d. angular harmonic motion

The effect of a certain non-concurrent force system is defined by the following data: summation of fx=90kN, summation of fy=-60kN, and summation of Mo=360kN counter clockwise. Determine the point at which the resultant intersects the x-axis.

- a. 8 m
**b. 6 m**- c. 7 m
- d. none of the choices

Add the following vectors and determine the resultant. 3.0 m/s, 45 deg and 5.0 m/s, 135 deg

- a. 4.38 m/s
- b. 6.38 m/s
- c. 3.38 m/s
**d. 5.38 m/s**

What is the acronym of BTU in pressure?

- a. British Temperature Unites
**b. British Thermal Units**- c. none of the choices
- d. British temperature Unites

What is Friends language name of International System of Unit

- a. None of the choices
- b. International Systeme
- c. Systeme d' Unites
**d. Systeme International d' Unites**

________________ is defined as the forces which lies in the line of activity but do not intersect or forms a parallel at a common point.

**a. Non-Concurrent Forces**- b. none of the choices
- c. Parallel Forces
- d. Forces

The cylinders in the figure have the indicated weights and dimensions. Assuming smooth contact surfaces, determine the reactions at A, B, C, and D on the cylinders. NOTE : see fig-13 from the LIST OF FIGURES in Week-1

**a. A = 347.39 kN, B = 600 kN, C = 400.85 kN, D = 347.39 kN**- b. A = 37.39 kN, B = 6000 kN, C = 4000.85 kN, D = 37.39 kN
- c. none of the choices
- d. A = 47.39 kN, B = 60 kN, C = 40.85 kN, D = 47.39 kN

In reality we are dealing with two sets of independent equations for the x and y directions and can envision the problem as a superposition of two completely independent motions that together are equivalent to the projectile motion.

**True**- False

A bolt connecting the main and rear frame of a mountain bike requires of 15 N.m to tighten. If you are capable of applying 40N of force to a wrench in any given direction, what is the minimum length of the wrench that will result in the required torque?

- a. none of the choices
**b. 0.375 m**- c. 3.75 m
- d. 37.5 m

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