p06 063

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63.

(a) The distance traveled in one revolution is 2πR = 2π(4.6) = 29 m. The (constant) speed is conse-

quently v = 29/30 = 0.96 m/s.

(b) Newton’s second law (using Eq. 6-17 for the magnitude of the acceleration) leads to

f

s

= m



v

2

R



= m(0.20)

in SI units. Noting that N = mg in this situation, the maximum possible static friction is f

s,max

=

µ

s

mg using Eq. 6-1. Equating this with f

s

= m(0.20) we find the mass m cancels and we obtain

µ

s

= 0.20/9.8 = 0.021.


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