IIT JEE Physics (1978-2018: 41 Years) Topic-wise Complete Solutions

# To Study Torsional Oscillation of a Rectangular Body

## Objective

To study the torsional oscillation of a rectangular body suspended by two non parallel threads.

## Apparatus

Clamp, Suspension plate with nails fixed, Oscillating plate with hooks and threads fixed, Meter Scale, Stop Watch, Graph Paper

## Procedure

Suspend the oscillating plate using the threads and the inner pair of nails on the suspension plate. The upper edges of the plate should be horizontal.

Rotate the plate about the vertical bisector through a small angle and release. The plate should start oscillating.

Let the height of the nails over the upper edge of the plate be $$H$$ and time period of oscillation be $$T$$. You are suppose to find the relation between $$T$$ and $$H$$. So measure $$T$$ and $$H$$ at appropriate length and draw a graph between $$T$$ and $$H$$. From this, guess whether $$T\propto H^2$$, $$T\propto H$$ or $$T\propto\sqrt{H}$$.