In the figure, forces A, B, C , and D, each have magnitude 54.0 N and act at the

Question

In the figure, forces A, B, C , and D, each have magnitude 54.0 N and act at the same point on the object. Assume that x = 23.0 cm.

(Let counterclockwise torques be positive, clockwise torques be negative.)

In the figure, forces A, B, C , and D, each have magnitude 54.0 N and act at the same point on the object. Assume that x = 23.0 cm. A) What torque (magnitude and direction) does overrightarrow {rm A} force exert on the object about point P? (Let counterclockwise torques be positive, clockwise torques be negative.) B) What torque (magnitude and direction) does overrightarrow {rm B} force exert on the object about point P? C) What torque (magnitude and direction) does overrightarrow {rm C} force exert on the object about point P ? D) What torque (magnitude and direction) does overrightarrow {rm D} force exert on the object about point P ? E) What is the total torque about point P ?

Explanation / Answer

Let's define our coordinate axis to be as such: x-axis: parallel to the distance x y-axis: perpendicular to the distance x Therefore, any force parallel to the x distance will provide zero torque Torque provided by Force A: T = 54sin60(.23) T = 10.76 Nm Torque provided by Force B: T = 0 Nm (force acting through the torque point P) Torque provided by Force C: T = -54sin30(.23) T = -6.21 Nm Torque provided by Force D: T = -54sin60(.23) T = -10.76 Nm The total Torque about point P: T = TA + TB + TC + TD T = -6.21 Nm this means that the object is rotating in a clockwise direction about point P BOL

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