Question

A uniform cylinder of mass M = 2.7 kg and radius R = 15.0 cm has been attached to two cords and the cords are wound around it and hung from a ceiling as shown in Figure 4. The cylinder is released from rest and the cords unwind as the cylinder descends.

Answer 1

When a uniform cylinder is released from rest and the cords unwind as the cylinder descends, angular momentum is conserved. The moment of inertia of the cylinder can be calculated using the formula I = 1/2 * M * R^2. The angular velocity of the cylinder can be calculated using the formula angular velocity = linear velocity / radius.

Step-by-step explanation:

When a uniform cylinder is released from rest and the cords unwind as the cylinder descends, angular momentum is conserved. The moment of inertia of the cylinder can be calculated using the formula I = 1/2 * M * R^2, where M is the mass of the cylinder and R is its radius. The angular velocity of the cylinder can be calculated using the formula angular velocity = linear velocity / radius. In this case, the linear velocity can be calculated by dividing the distance the cord unwinds by the time it takes.