Explore BrainMass

'Net torque equals I alpha' As mass m descends it rotates the cylinder with angular acceleration.

A uniform cylinder, mass M= 25 kg, radius R= .75 m, is mounted on a fixed, frictionless bearing. From a cord wrapped on its surface a mass m=6.4 kg descends and rotates the cylinder with angular acceleration 'A'.
See attachment for picture of the apparatus.
a. Find the angular acceleration of the cylinder.
b. Find the tension, C, in the cord.


Solution Preview

a. For an axis at the center of the cylinder, 'Net torque' is 'C R', and the moment of inertia is '.5 M R^2'. Thus 'net torque= I alpha' is ...