A 150 lb man lies against a cushion with coefficient ofstatic friction =.5 If he

Question

A 150 lb man lies against a cushion with coefficient ofstatic friction =.5 If he rotates about the z axiswith a constant speed v = 30 ft/s, determine the smallest angle ofthe cushion at which he begins to slip up the cushion.
Diagram shows the man 8ft away from the z axis to his centerof gravity. Theta is between the cushion and the ground. Manis leaning away from the z axis on the cushion. Isreminiscent of the carnival ride that spins with people leaningagainst cushions on the walls.
A 150 lb man lies against a cushion with coefficient ofstatic friction =.5 If he rotates about the z axiswith a constant speed v = 30 ft/s, determine the smallest angle ofthe cushion at which he begins to slip up the cushion.
Diagram shows the man 8ft away from the z axis to his centerof gravity. Theta is between the cushion and the ground. Manis leaning away from the z axis on the cushion. Isreminiscent of the carnival ride that spins with people leaningagainst cushions on the walls.

Explanation / Answer

I got 76 degrees. set up fbd and kd. get sum fx=ma and fy=0 do some trig get theta

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