A uniform rod of mass 1.5 kg and length 0.5 m leans against avertical frictionle

Question

A uniform rod of mass 1.5 kg and length 0.5 m leans against avertical frictionless wall. The coefficient of friction between therod and the floor is 0.38. a) Find the static friction force as a function of theangle between the rod and the vertical. b) Find the maximal angle between the rod and the vertical forwhich the rod will not slip. c) Suppose the angle between the rod and the wall is maximal.What will be the instantaneous angular acceleration of the rod ifthe vertical wall is suddenly removed? Any help with any of this would be greatly appreciated. A uniform rod of mass 1.5 kg and length 0.5 m leans against avertical frictionless wall. The coefficient of friction between therod and the floor is 0.38. a) Find the static friction force as a function of theangle between the rod and the vertical. b) Find the maximal angle between the rod and the vertical forwhich the rod will not slip. c) Suppose the angle between the rod and the wall is maximal.What will be the instantaneous angular acceleration of the rod ifthe vertical wall is suddenly removed? Any help with any of this would be greatly appreciated.

Explanation / Answer

a) Ff = ½*m*g*tan = 7.35*tan b) max = arctan(2*µ) = 37.23° c) = [3*g/(2*L)]*sinmax = 17.79 rad/sec²

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