A rod is bent into an L shape and attached at one point to a pivot. The rod sits on a frictionless table and the diagram is a view from above. This means thatgravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: F1, F2, F3 and . Note that thedimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds).

This is the Diagram:

Questions:

1. If and , what does the magnitude of have to be for there to be rotational equilibrium?

________N

2.

If the L-shaped rod has a moment of inertia , , , andagain , how long a time would it take for the object to move through ( /4 radians)?

Assume that as the object starts to move, each force moves with the object so as to retain its initial angle relative to the object.

t= _________ s

3. Now consider the situation in which and , but now a force with nonzeromagnitude is acting on the rod. Whatdoes have to be to obtain equilibrium?

= __________ N

Thank you

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