Two blocks of masses 400 g and 200 g are connected through a tight string going over a pulley which is free to rotate about its axis. The pulley has a moment of inertia 1.6 × 10-4kg-m2 and a radius 2.0 cm. Find (a) the kinetic energy of the system as the 400 g block falls through 50 cm, (b) the speed of the blocks at this instant.
Given:
Radius of the pulley = 2.0cm
Moment of inertia of pulley= 1.6 × 10-4kg-m2
Masses of the block, m1= 400g and m2= 200g
Using the free body diagram
Using the above equations,
Velocity of the system v
A) total kinetic energy of the system
1