Answer: The 150-lb man lies against the cushion for which

Chapter 13, Problem 13-72

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QUESTION:

The 150-lb man lies against the cushion for which the coefficient of static friction is \(\mu_{s}=0.5\). If he rotates about the z axis with a constant speed v = 30 ft/s, determine the smallest angle \(\theta\) of the cushion at which he will begin to slip off.

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QUESTION:

The 150-lb man lies against the cushion for which the coefficient of static friction is \(\mu_{s}=0.5\). If he rotates about the z axis with a constant speed v = 30 ft/s, determine the smallest angle \(\theta\) of the cushion at which he will begin to slip off.

ANSWER:

Step 1 of 3

The following are given from the question:

The mass of the man, 

The static friction, 

Speed, 

Consider the free body diagram as,

                                             

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