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A rod is bent into an L shape and attached at one point to a pivot. (Figure 1) T

ID: 1386070 • Letter: A

Question

A rod is bent into an L shape and attached at one point to a pivot. (Figure 1) 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: F? 1, F? 2, and F? 3. 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).

If F3=0 and F1=12N, what does the magnitude of F? 2 have to be for there to be rotational equilibrium?

Answer numerically in newtons to two significant figures.

ANSWER IS NOT 1.4.5

F1 3 cm F3 30° 30 Pivot 8 cm

Explanation / Answer

For rotational equilibrium, Net torque = 0


F1*3*sin(90) - F2*8*sin(90) - F3*8*sin(30) = 0

12*3 - F2*8 - 0 = 0

F2 = 12*3/8

= 4.5 N <<<<<<<<<<------------Answer

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