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Question 1:

Which of the following quantities represents the rotational equivalent of force in linear motion?

A) Torque
B) Angular momentum
C) Moment of inertia
D) Angular acceleration

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Explanation: The correct answer is A) Torque. Torque is the rotational equivalent of force in linear motion. It is the measure of the tendency of a force to rotate an object about a particular axis.

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Question 2:

Which of the following equations relates torque, force, and lever arm?

A) τ = F × d
B) τ = F + d
C) τ = F / d
D) τ = F - d

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Explanation: The correct answer is A) τ = F × d. This equation relates torque (τ), force (F), and lever arm (d). It states that torque is equal to the product of force and the perpendicular distance from the axis of rotation to the line of action of the force.

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Question 3:

Which of the following quantities is conserved in the absence of external torques?

A) Angular velocity
B) Angular momentum
C) Torque
D) Moment of inertia

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Explanation: The correct answer is B) Angular momentum. Angular momentum is conserved in the absence of external torques. This means that the total angular momentum of a system remains constant unless acted upon by external torques.

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Question 4:

Which of the following quantities is a measure of an object's resistance to changes in its angular motion?

A) Angular velocity
B) Angular momentum
C) Torque
D) Moment of inertia

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Explanation: The correct answer is D) Moment of inertia. Moment of inertia is a measure of an object's resistance to changes in its angular motion. It depends on the mass distribution and the shape of the object. Objects with a higher moment of inertia require more torque to produce the same angular acceleration.

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Question 5:

Which of the following equations relates angular momentum, moment of inertia, and angular velocity?

A) L = Iω
B) L = ω/I
C) L = I/ω
D) L = I + ω

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Explanation: The correct answer is A) L = Iω. This equation relates angular momentum (L), moment of inertia (I), and angular velocity (ω) in rotational motion. It states that the angular momentum of an object is equal to the product of its moment of inertia and its angular velocity.