CHJ Class activity 3 WEEK I

1. Two masses m₁ = 0.5 kg and m₂ = 0.6 kg are connected by a massless string over a pulley of radius R and rotational inertia I. The mass of the pulley is 0.20 kg. The string does not slip over the pulley and the table is frictionless. Determine the acceleration of mass m₂.

 

2. Launching herself from a board, a diver changed her angular velocity from zero to 0.620 rad/s in 220 ms. Her rotational inertia is 120 kg.m². a) What was her angular acceleration during the launch? b) What external torque acted on the diver during the launch?

 

3. Determine the Moment of inertia or Rotational inertia for a rigid body consisting of two particles of mass m connected by a rod of length L and of negligible mass under two situations; a) the axis of rotation about the center and b) the axis of rotation at one end of the rod.

 

4. In an Atwood's machine, one block has a mass of 520 g, and the other a mass of 470g. The pulley, which is mounted in a horizontal frictionless bearing, has a radius of 5.50cm. When released from rest, the heavier block is observed to fall 80 cm in 5.00s. a) What is the acceleration of the block? b) What is the tension of the cord that supports the heavier block? c) What is the tension of the cord that supports the lighter block? d) What is the angular acceleration of the pulley? e) What is its rotational inertia?