Question

A satellite consists two cylinders which can rotate relative to each other about the common axis of summetry. The rotation can be precisely controlled through a built-in motor. Both cyllinders can be asuumed to be uniform; they have the same mass, m = 10.0 kg, and the same radius rc = 0.30m. The top cylinder has attached to it two balls, each of which has mass 1.0 kg and radius rb = 0.1m. Each ball is fastened to the end of a massless rod, and each rod sticks out of the cylinder perpendicularly to the axis of symmetry, each on the opposite side of the cylinder, so that the center of mass of each ball is a distance d away from the axis of symmetry.

The top cyllinder can adjust the two distances d using another built-in motor. The two blue dots are cameras, which both face in the same direction. We want to reorient the satellite so that the cameras face in the opposite direction than they do now. This is done as follows: the distances d are extended each to 2.0m. The two cyllinders are rotated relative to each other at an angular velocity of 10.0 rpm for a certain number of seconds t1. The rotation is then stopped. The balls are then retracted so that they are touching the cylinder. The rotation is then started up again, but in the opposite direction, at the same speed, for t2 seconds. At the end, both cameras face in the direction opposite from that they were facing originally. What do t1 and t2 have to be in order for this to work? What is the total angular distance traveled by the bottom cylinder? By the top cylinder?

lem 7 A satellite consists two cylinders which can rotate relative to each other about the common a etry. The rotation can be precisely controlled through a built-in motor. Both cyllinders can be asuu iform; they have the same mass, m-10.0kg, and the same radius re-0.30m. The top cylinder has at wo balls, each of which has mass 1.0kg and radius rb-0.1 m. Each ball is fastened to the end of a nma nd each rod sticks out of the cylinder perpendicularly to the axis of symmetry, each on the opposites linder, so that the center of mass of each ball is a distance d away from the axis of symmetry

Answer 1

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