Two identical spheres,each of mass M and neglibile mass M and negligible radius,

Question

Two identical spheres,each of mass M and neglibile mass M and negligible radius, are fastened to opposite ends of a rod of negligible mass and lenght 2L. This system is initially at rest with the rod horizontal, as shown above, and is free to rotate about a frictionless, horizontal axis through the center of the rod and perpindicular to the plane of th epage. A bug, of mass 3M, lands gently on the sphere on the left. Assume that the size of the bug is small compared to the length of the rod. Express all your answers in terms of M, L and physical constants. A) Determine the Torque after the bug lands on the sphere B) Determine the angular accelearation of the rod-sphere-bug system immediately after the bug lands When the rod is vertical C) the angular speed of the bug D) the angular momentum E) the magnitude and direction of the force that must be exerted on the bug by the sphere to keep the bug from being thrown off the sphere. Thank You!!

Explanation / Answer

2. Relevant equations T = r x F T = Ialpha L = r x p L = Iw 3. The attempt at a solution I realize this question has been asked on the forum before, but i have not found the other posts very helpful because they needed help with different parts here are my solutions so far: a) T = 3Mgl b) alpha = 9g/16Ml (solved by setting T = r x F = Ialpha) c) w = sqrt(9(pi)g/16Ml) (solved using w^2 = w^2 + 2alpha...) d) L = 4Ml^2(sqrt(pi)g/Ml) (solved by L = Iw) e) I am stuck here! i dont know what concept to use!

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