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Problem 6.74 What is the force of static friction acting on the child? Express y

ID: 1659319 • Letter: P

Question

Problem 6.74 What is the force of static friction acting on the child? Express your answer to two significant figures and include appropriate units At a playground, a 19-kg child sits on a spinning merry-go-round, as shown from above in (Figure 1). The merry-go-round completes one revolution every 6.2 s, and the child sits at a radius ofr=1.8 m Figure 1 $1of1 Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining Part B What is the minimum coefficient of static friction between the child and the merry-go-round to keep the child from slipping? Express your answer to two significant figures and include appropriate units

Explanation / Answer

a) w = 2 pi / 6.2 = 1.013 rad/s

F = m r w2 = 19 * 1.8 * 1.0132

F = 35.1 N

b) minimum coefficient = F / m g

= 35.1 / (19 * 9.8)

mu = 0.188