1. A string is wound around a metal wheel that is free to spin on a frictionless

Question

1. A string is wound around a metal wheel that is free to spin on a frictionless pivot. A hanging mass is connected to the other end of the string. The wheel is given a twist causing it to start rotating at 2.5 rad/s in the counterclockwise direction. All known quantities are shown in the figure.

A. What is the initial velocity of the hanging mass?

B. Estimate the acceleration of the disk

C. Approximately when does the disk stop? Explain

D. Estimate the velocity of the mass at t=2s

E. Estimate the acceleration of the mass

at t=2s     

<------20cm--->(wheel diameter)

hanging mass. m=10g

Icenter= 60g.cm(square)

     M=1.2kg

Explanation / Answer

a) v=wr = 2.5* 0.1 =.25 m/s

b) a=wr^2= 2.5 * 0.01 =0.025 m/s ^2

c) t= 5 s

d) v = 0.5 m/s

e) a = 0.0625 m/s^2

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