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Intro to Torque

A simple pend...

Question

A simple pendulum having bob of mass $m$ and length $l$ is pulled aside to make an angle $θ$ with the vertical. Find the magnitude of the torque of the height of the bob about the point of suspension. At which position its torque is zero? At which $θ$ it is maximum?

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Solution

Simple pendulum is suspended by here by a rigid support. Weight =W (Hanging). At angle Theta the total torque is working on the point of suspension.
i=FXr
the weight of bob is W.
i=rXw
-wlsinθ
here the torque direction is perpendicular to the plane hence when the body passes by suspension points then at the lowest point of suspension the given torque will be zero.

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A simple pendulum of length L having a bob of mass m is deflected from its rest position by an angle $θ$ and released (figure) The string hits a peg which is fixed at a distance x below the point of suspension and the bob starts going in a circle centred at the peg. If the pendulum is released with $θ = 90^{\circ}$ and x = $\frac{L}{2}$ find the maximum height reached by the bob above its lowest position before the string becomes slack.

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