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.


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