Which of the following statements is true?
A)When two hoops with different radii roll down an inclined plane without slipping,they reach the bottom at the same time.
B)If a body is rotating about an axis without any external torques,and its size doubles,it will speed up to double the angular velocity.
C)Two disks roll down an inclined plane without slipping.The one with a smaller radius will always reach the bottom first independent of their masses.
D)When two objects roll down an inclined plane without slipping,they have the same velocity when they reach the bottom only if they have the same mass.
E)The moment of inertia of an object would be different on the surface of the moon than it is on the surface of the Earth

Question

Quizplus · Accepted Answer

The statement about two hoops rolling down an inclined plane without slipping and reaching the bottom at the same time is true because their acceleration down the slope is independent of their radii. The acceleration for rolling objects without slipping on an incline is determined by the gravitational force component along the incline and the moment of inertia, which for hoops is a function of their mass and radius. However, the radius cancels out in the calculation of acceleration, making the time to reach the bottom the same for both hoops regardless of their different radii.

Which of the Following Statements Is True