Question

Calculate the torque (magnitude and direction) about point O due to the force F? in each of the situations sketched in the figure below. In each case, the force F? and the rod both lie in the plane of the page, the rod has length 4.00 m , and the force has magnitude 12.0 N . Let counterclockwise torques be positive.

Calculate for cases a-f:

Answer 1

here ,

torque is given as

Torque = F * r * sin(theta)

a)

Torque = F * L * sin(90)

Torque = 12 * 4 * sin(90)

Torque = 48 N.m

b)

Torque = F * L * sin(120)

Torque = 12 *4 * sin(120)

Torque = 41.6 N.m

c)

Torque = F * L * sin(30)

Torque = 12 * 4 * sin(30)

Torque = 24 N.m

d)

Torque = -F * L/2 * sin(60)

Torque = -12 * 2 * sin(60)

Torque = -20.8 N.m

e)

Torque = 12 * 0 * sin(60)

Torque = 0 N.m