Four forces act as shown on a square plate, with sides of length 0.50 m, as show

Question

Four forces act as shown on a square plate,

with sides of length 0.50 m, as shown in the

diagram. The plate pivots about a

frictionless axle through its centre. Calculate

the magnitude of the force F4 needed to

ensure that the total torque on the plate,

about the axle, is zero. Explain your

reasoning and show your work clearly.

Four forces act as shown on a square plate, with sides of length 0.50 m, as shown in the diagram. The plate pivots about a frictionless axle through its centre. Calculate the magnitude of the force F4 needed to ensure that the total torque on the plate, about the axle, is zero. Explain your reasoning and show your work clearly.

Explanation / Answer

T1 = F1* 0.25

T2 = F2 * 5 * 0.25

T3 = -10 * 0.15

T4 = -F4 * 0.25 * sin25 = -0.1F4

=> 8 * 0.25 + 5 * 0.25 - 1.5 - 0.1F4 = 0 (Sum of torques)

=> F4 = 17.5 N

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