Question

In: Physics

A frictionless pulley has the shape of a uniform solid disk of mass 6.00 kg and...

A frictionless pulley has the shape of a uniform solid disk of mass 6.00 kg and radius 12.0 cm . A 3.60 kg stone is attached to a very light wire that is wrapped around the rim of the pulley(Figure 1), and the stone is released from rest. As it falls down, the wire unwinds without stretching or slipping, causing the pulley to rotate. How far must the stone fall so that the pulley has 7.50 J of kinetic energy?

Solutions

Expert Solution

When the stone falls ,its potential energy is converted to kinetic energy of stone and rotational kinetic energy of pulley

Given that KE of Pulley = 7.50J

so

-------------(1)

----------------

Given

Moment of inertia of solid disk , and angular speed ,

================

Put Value of v in (1)

ANSWER:

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