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5. A child riding a merry-go-round that rotates with constant angular speed (radius r = 5.0 m) can
hold onto the handle with a maximum grip force of FG = 0.01 N. The child has a mass of 40.0
kg.
a. Draw a free-body diagram for the child and indicate the direction of their acceleration.
b. Calculate the maximum linear speed of the edge of the merry-go-round that the child
can withstand before falling off.

Expert Solution

Step 1

Given: The radius is 5.0 m.

The maximum grip force, $F_{G} is 0.01 N$ .

The mass of child is 40.0 kg.

(a) The free body diagram

The free body diagram for force and centripetal acceleration is given below

The acceleration is centripetal acceleration. The direction of acceleration is towards the center of circle.

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