Torque EX 2

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The diagram shows the gravitational force acting on the pendulum, the pivot (black dot) and the lever arm.

TOP

To solve this problem we first move the two vectors and so that they are placed "tail to tail", then we draw the x-axis parallel to the lever arm and we determine the angle between them:

TOP

Since we drew the vector of the force in the "fourth quadrant" we conclude that the direction of the torque is clockwise and therefore the torque is negative: