A simple pendulum of length l is pulled aside to make an angle θ with the vertical. Find the magnitude torque of the weight w of the bob about the point of suspension. When is the torque zero?
, at lowest point the
, turning the torque equal to zero at the lowest point.
Given
The length of the pendulum is given as l, and the angle after pull is given as. The weight of the bob is weight “w”.
Formula Used
The formula used is that of a torque which tells us the mechanics of force which helps the object to rotate. The formula is
where
F is the force applied on the object; r is the radius of the object turning.
Explanation
The pendulum bob rotates at a distance of “l” from the center which is also the radius in terms of torque, the force is taken as
The angle of turning is taken as; therefore, radius in terms of turning angle is
Therefore, the torque of the pendulum is
Hence, at lowest point the , turning the torque equal to zero at the lowest point.