Question

A cylinder with moment of inertia 30.4 kgm² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kgm², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.

Name: A cylinder with moment of inertia 30.4 kg*m² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kg*m², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.
Uploaded: 2022-05-22T09:08:18-08:00
Duration: 2 min 11 s
Channel: Madhur L
Description: A cylinder with moment of inertia 30.4 kg*m² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kg*m², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.

          A cylinder with moment of inertia 30.4 kg*m² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kg*m², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.

A cylinder with moment of inertia 30.4 kg*m² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kg*m², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.

Added by Anthony A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/22/2022

Step 1

Step 1: Apply the law of conservation of angular momentum, which states that the total angular momentum before the collision is equal to the total angular momentum after the collision. Show more…

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A cylinder with moment of inertia 30.4 kg*m² rotates with angular velocity 4.06 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 34.9 kg*m², initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity.