Question 1:
Which of the following statements describes the rotational motion of a rigid body?
Explanation: The correct answer is A) All points on the body have the same angular velocity. In the rotational motion of a rigid body, all points on the body have the same angular velocity. This means that each point moves in a circular path with the same angular speed.
Question 2:
Which of the following types of motion involves both translation and rotation?
Explanation: The correct answer is A) Rolling motion. Rolling motion involves both translation (linear motion of the center of mass) and rotation (the body spins about its axis). Examples of rolling motion include a rolling ball or a rolling wheel.
Question 3:
Which of the following statements is true regarding the motion of a wheel rolling without slipping?
Explanation: The correct answer is A) The linear speed of the center of the wheel is equal to the tangential speed of any point on the rim. In a wheel rolling without slipping, the linear speed (velocity) of the center of the wheel is equal to the tangential speed of any point on the rim. This condition ensures that the wheel rolls smoothly without skidding.
Question 4:
Which of the following quantities remains constant for a rolling object with no external forces acting on it?
Explanation: The correct answer is D) None of the above. For a rolling object with no external forces acting on it, both the linear velocity and the angular velocity can change. The rotational kinetic energy can also change depending on the distribution of mass and the shape of the object.
Question 5:
Which of the following statements is true regarding the friction between a rolling object and the surface it rolls on?
Explanation: The correct answer is C) The friction can either oppose or assist the rolling motion depending on the situation. The friction between a rolling object and the surface it rolls on can act in different ways. In some cases, the friction opposes the rolling motion, helping to prevent slipping. In other cases, the friction assists the rolling motion, providing the necessary force for the object to roll smoothly.
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