Torque Study Materials for Competitive Exam Preparation

Torque

Q. If two forces of equal magnitude are applied at opposite ends of a lever arm, what is the net torque about the center?

A. Zero
B. Equal to the force
C. Twice the force
D. Depends on the distance

Solution

The net torque is zero because the torques produced by the two forces cancel each other out.

Correct Answer: A — Zero

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Q. In a seesaw, if one child exerts a force of 30 N at a distance of 1.5 m from the pivot, what is the torque produced by this child?

A. 15 Nm
B. 30 Nm
C. 45 Nm
D. 60 Nm

Solution

Torque (τ) = F × r = 30 N × 1.5 m = 45 Nm.

Correct Answer: C — 45 Nm

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Q. In a seesaw, if one child exerts a force of 30 N at a distance of 2 m from the pivot, what is the torque exerted by that child?

A. 15 Nm
B. 30 Nm
C. 60 Nm
D. 0 Nm

Solution

Torque (τ) = F × r = 30 N × 2 m = 60 Nm.

Correct Answer: C — 60 Nm

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Q. In a seesaw, if one child exerts a torque of 30 N·m on one side, what torque must the other child exert to balance it?

A. 15 N·m
B. 30 N·m
C. 45 N·m
D. 60 N·m

Solution

To balance the seesaw, the other child must exert an equal torque of 30 N·m.

Correct Answer: B — 30 N·m

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Q. What is the torque about a pivot if a force of 12 N is applied at a distance of 0.25 m at an angle of 90 degrees?

A. 3 Nm
B. 6 Nm
C. 12 Nm
D. 24 Nm

Solution

Torque = Force × Distance = 12 N × 0.25 m = 3 Nm.

Correct Answer: C — 12 Nm

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Q. What is the torque about a pivot if a force of 8 N is applied perpendicular to a lever arm of 0.75 m?

A. 4 Nm
B. 6 Nm
C. 8 Nm
D. 10 Nm

Solution

Torque = Force × Distance = 8 N × 0.75 m = 6 Nm.

Correct Answer: C — 8 Nm

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Q. What is the torque produced by a 60 N force acting at a distance of 0.75 m from the pivot point?

A. 45 Nm
B. 60 Nm
C. 75 Nm
D. 90 Nm

Solution

Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.

Correct Answer: A — 45 Nm

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Q. What is the torque produced by a 60 N force applied at a distance of 0.75 m from the pivot point?

A. 45 Nm
B. 60 Nm
C. 75 Nm
D. 90 Nm

Solution

Torque = Force × Distance = 60 N × 0.75 m = 45 Nm.

Correct Answer: A — 45 Nm

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Q. What is the torque produced by a force of 10 N applied at a distance of 2 m from the pivot point, perpendicular to the lever arm?

A. 5 Nm
B. 10 Nm
C. 20 Nm
D. 15 Nm

Solution

Torque (τ) = Force (F) × Distance (r) = 10 N × 2 m = 20 Nm.

Correct Answer: C — 20 Nm

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Q. What is the torque produced by a force of 15 N acting at an angle of 90 degrees to the lever arm of 0.5 m?

A. 0 Nm
B. 7.5 Nm
C. 15 Nm
D. 30 Nm

Solution

Torque = Force × Distance × sin(θ) = 15 N × 0.5 m × sin(90°) = 15 Nm.

Correct Answer: C — 15 Nm

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Q. What is the torque produced by a force of 25 N acting at an angle of 90 degrees to the lever arm of 0.5 m?

A. 12.5 Nm
B. 25 Nm
C. 50 Nm
D. 0 Nm

Solution

Torque = Force × Distance × sin(90°) = 25 N × 0.5 m × 1 = 12.5 Nm.

Correct Answer: B — 25 Nm

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Q. What is the unit of torque in the SI system?

A. Newton
B. Joule
C. Newton-meter
D. Pascal

Solution

The unit of torque in the SI system is Newton-meter (Nm).

Correct Answer: C — Newton-meter

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Q. Which of the following factors does NOT affect the torque exerted by a force?

A. Magnitude of the force
B. Distance from the pivot
C. Angle of application
D. Mass of the object

Solution

The mass of the object does not affect the torque; torque depends on the force, distance from the pivot, and angle of application.

Correct Answer: D — Mass of the object

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Q. Which of the following factors does NOT affect the torque produced by a force?

A. Magnitude of the force
B. Distance from the pivot
C. Angle of application
D. Mass of the object

Solution

The mass of the object does not affect the torque; torque depends on force, distance, and angle.

Correct Answer: D — Mass of the object

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Q. Which of the following statements about torque is true?

A. Torque is a scalar quantity.
B. Torque depends on the angle of application.
C. Torque is always positive.
D. Torque does not depend on the point of rotation.

Solution

Torque depends on the angle of application, as it is calculated using τ = F × d × sin(θ).

Correct Answer: B — Torque depends on the angle of application.

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Torque

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