Solution:
Each point on the cord moves at a linear speed of v = where r is the radius of the spool. The energy conservation equation for the counter weight turn table-Earth system is:
Specializing, we have
mgh =
2mgh -
Figure shows a counterweight of mass m suspended by a cord wound around a spool of radius r, forming part of a turntable supporting the object. The turntable can rotate without friction. When the counterweight is released from rest, it descends through a distance h, acquiring a speed v. The moment of inertia I of the rotating apparatus is
Each point on the cord moves at a linear speed of v = where r is the radius of the spool. The energy conservation equation for the counter weight turn table-Earth system is:
Specializing, we have
mgh =
2mgh -