Q1: A glass rod of length L is placed in a smooth hemispherical bowl having a radius r. As the rod slides in, it settles into an equilibirum position. Find the angle theta for equilibirum. Theta will be a function of r, L and perhaps g.

Q2: The crane is supported on the ground at points A and B. The crane has a mass of 18000 kg and it acts at the point G1.  Crane is lifting a load of 2500 kg, hanging at the right end of the boom. Neglect the weight of the boom.  As the angle theta of the boom, increases from 0 to 90 degrees, plot the normal reactions at points A and B as the function of theta.  At what angle will the crane start to tip?

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