A rod is bent into an L shape and attached at one point to a pivot. The rod sits

Question

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 that gravity can be ignored for this problem. There are three forces that are applied to the rod at different points and angles: , , and . Note that the dimensions of the bent rod are in centimeters in the figure, although the answers are requested in SI units (kilograms, meters, seconds). The length X is 6 cm and Y equals 5 cm. The forces are in newtons. The moment of inertia for the L beam is 12 kg

For all parts assume clockwise moments are negative.
What is the counterclockwise moment about the pivot if F1 equals 8 newtons?
What is the clockwise moment about the pivot if F2 equals 20 newtons?
What is the angular acceleration of the L beam? F3 = 0 newtons
Find the time to rotate 1.7 revolutions. F3 = 0 newtons
If F1 equals 8 newtons and F2 equals 0, what is the magnitude of F3 if the beam is in rotational equilibrium?

Explanation / Answer

T1= T2 for equilibrium r x F1 = r x F2 (.03m)(12) = (.08m)(F2) F2 = 4.5 N

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