The torque about the origin if the force points in (a) the x direction, (b) the y direction, and (c) the z direction are 12; 36; 37.9 respectively
Torque is a twisting force produced by applying a force at a distance from a point. We would need to choose a distance that is perpendicular to the force's direction. We apply the equation to determine torque,
T=Fd
where F is the force and d is the orthogonal distance to a central point.
i. If the force points in the x-direction, we need to use the y-distance to calculate torque.
T=Fxdy
T=12N *1m
T = 12 N.m
ii. If the force points in the y-direction, we need to use the x-distance to calculate torque.
T=Fxdy
T= 12N * 3m
T = 36 N.m
iii. If the force is directed in the z-direction, the straight-line distance from the origin to the point is orthogonal to the force. The magnitude of the distance will be used as the distance value. This may be determined using the equation.
||d||= √ (X2 + Y2)
where X and Y are the x and y coordinates.
T=Fz||d||
T=(12N) (√ (32 + 12)
T = 37.9 N.m
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