Question Detail
Question
For a uniform solid cylinder of mass M and radius R rolling without slipping down an incline, the relationship between its linear velocity v and angular velocity ω is given by which equation?
Correct Answer
Option B is the correct answer.
Detailed Explanation
The condition for rolling without slipping is that the point of contact is instantaneously at rest relative to the surface. This kinematic constraint links the linear speed of the center of mass v to the angular speed ω about the center of mass by v = ω R, where R is the radius.
Hint
How is the linear distance traveled by the center related to the angle of rotation for a rolling object?