Rotational Motion A bicycle wheel is mounted on a fixed, frictionless axle. A li
ID: 1498909 • Letter: R
Question
Rotational Motion
A bicycle wheel is mounted on a fixed, frictionless axle. A light string is wound around the wheel's rim, and a weight is attached to the string at its free end. The diagrams below depict the situation at three different instants: At t = t_0, the weight is released from rest. At t = t_1, the weight is falling and the string is still partially wound around the wheel. At t = t_2, the weight and string have both reached the ground. Note: The above diagrams do not represent stroboscopic photographs of the wheel. What is the direction of the angular velocity Omega vector of the wheel at each time shown? If Omega vector = 0 at any time, state that explicitly. Explain. What is the direction of the wheel's angular acceleration alpha vector at each time shown? If alpha vector = 0 at any time, state that explicitly. Explain. Rank the magnitudes of the centripetal acceleration of point A at the three times shown (a_lambda_0, a_lambda_1, a_lambda_2). If any of these is zero, state that explicitly. Explain your reasoning.Explanation / Answer
a) Angular velocity is in clockwise direction at t = t1 and t = t2 . Angular velocity is zero at t = to
b) Angular acceleration is in clockwise direction at t = to and t = t1 . Angular velocity is zero at t = t2
c) Centripetal acceleration = m2r
So, aA,2 > aA,1 > aA,o = 0
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