hree forces act on a square plate that can rotate in the horizontal plane about
ID: 1787762 • Letter: H
Question
hree forces act on a square plate that can rotate in the horizontal plane about a ivot at the lower left corner of the plate, as shown in the figure below. The plate as a mass of M= 15.0 kg and a length of 0.500 mn on each side. All three orces have the same magnitude 100 N. What is the magnitude of the net torque xerted on the plate by the three forces? The moment of inertia of a square plate about one corner is ICM-2/3 M12 F3 pivot What type of problem is this? A. Net torque problem/Rotational version of NSL B. Static equilibrium problem C. Simple harmonic motion problem D. Calorimetry problem E. Entropy problem F. Ideal gas law problemExplanation / Answer
The magnitude of the net torque exerted on the plate by the three forces
= Torque due to force F1 + Torque due to force F2 + Torque due to force F3
= Magnitude of force F1 x perpendicular distance between line of action and axis through the CM +
Magnitude of force F2 x perpendicular distance between line of action and axis through the CM +
Magnitude of force F3 x perpendicular distance between line of action and axis through the CM
= 100 x 0 + 100 x 0.25 ( anti-clockwise ) + 100 x 0.25 (anti-clockwise) = 50 N.m
The type of problem is A.
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