JEE Main Physics question
A wheel is connected to a second wheel by means of an inextensible string passing over a pulley , which rotates about a fixed horizontal axle . The system is released from rest. Wheel rolls down the inclined plane , thus pulling up wheel , which rolls along the inclined plane . Determine the velocity (in m/s) of wheel when it has travelled a distance m down the slope. Both wheels and the pulley are homogeneous discs of identical mass and radius. Neglect the weight of the string, which does not slip over . (Take and , m/s²)
Solution
With , , all identical discs () and the string moving at speed at every contact (so each disc rolls/spins with ): net PE released per unit distance . Total KE
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