What are the magnitude and direction of the torque about the origin on a plum lo

Question

What are the magnitude and direction of the torque about the origin on a plum located at coordinates (-7m, 0, m, 4 m) due to force F whose only component is Fx = 4 N? Along which axis is the torque directed? X Z Y What is the magnitude of the torque about the origin on a plum located at coordinates (-7 m, 0 m, 4 m) due to force F whose only component is Fx = -4 N? What is the magnitude of the torque about the origin on a plum located at coordinates (-7 m, 0 m, 4 m) due to force F whose only component is Fz = 4 N? What is magnitude of the torque about the origin on a plum located at coordinates (-7 m, 0 m, 4 m) due to force F whose only component is Fz = -4 N?

Explanation / Answer

r = -7i + 4k

F = 4i

torque = r x F

= (-7i + 4k) X (4i)

= 16 j

magnitude = 16 N m ............Ans

Direction -> Y ......Ans

magnitude = 16 N m .......Ans

when F = 4 k

torque = r x F = 28 N m j

magnitude = 28 N m .....Ans

Direction = Y ......Ans

magnitude = 28 N m .....Ans

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