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P211 Final Sample 1<br />

11) An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough<br />

that any person inside is held against the wall when the floor drops away. The coefficient of static<br />

friction between the person and the wall is μs, and the radius of the cylinder is R.<br />

The maximum period of revolution T such that a person won't slide down the wall is:<br />

A)<br />

Rμ<br />

s<br />

T =<br />

2<br />

4π<br />

g<br />

B)<br />

T =<br />

4π<br />

2<br />

Rμ<br />

g<br />

s<br />

ω<br />

2<br />

C) T = 4π<br />

Rμ<br />

g<br />

s<br />

R<br />

N<br />

F s<br />

D)<br />

T =<br />

4π<br />

2 Rg<br />

μ<br />

s<br />

F g<br />

E)<br />

T =<br />

4π 2 μ<br />

g<br />

s<br />

12) Wheel A of radius r A = 5 cm is coupled by belt B to wheel C of radius r C = 24 cm. Wheel A<br />

increases its angular speed from rest at a constant rate of α A = 3.<strong>30</strong> rad/s 2 . How long does it take<br />

wheel C to reach a rotational speed of ω C = 50 rev/s, assuming that the belt B does not slip?<br />

A) 40 s B) 145 s C) 457 s<br />

D) 665 s E) 914 s<br />

Page 6

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