Question

A cylinder with moment of inertia 13.3 kg m$^2$ rotates with angular velocity 2.6 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 36.9 kg m$^2$, initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two even- tually reach the same angular velocity. Calculate the final angular velocity. Answer in units of rad/s. Answer in units of rad/s.

          A cylinder with moment of inertia
13.3 kg m$^2$ rotates with angular velocity
2.6 rad/s on a frictionless vertical axle. A
second cylinder, with moment of inertia
36.9 kg m$^2$, initially not rotating, drops onto
the first cylinder and remains in contact.
Since the surfaces are rough, the two even-
tually reach the same angular velocity.
Calculate the final angular velocity.
Answer in units of rad/s. Answer in units
of rad/s.

A cylinder with moment of inertia
13.3 kg m^2 rotates with angular velocity
2.6 rad/s on a frictionless vertical axle. A
second cylinder, with moment of inertia
36.9 kg m^2, initially not rotating, drops onto
the first cylinder and remains in contact.
Since the surfaces are rough, the two even-
tually reach the same angular velocity.
Calculate the final angular velocity.
Answer in units of rad/s. Answer in units
of rad/s.

Added by Todd H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sufiyan Alam

03/19/2022

Step 1

Total moment of inertia = moment of inertia of first cylinder + moment of inertia of second cylinder Total moment of inertia = 13.3 kg m^2 + 36.9 kg m^2 Total moment of inertia = 50.2 kg m^2 Show more…

Show all steps

Thanks for your feedback!

3.42183 2.28246 1.09878 4.68678 1.24527 2.9818 5.00396 4.93362 4.37359 0.688845 A cylinder with moment of inertia 13.3 kg m2 rotates with angular velocity 2.6 rad/s on a frictionless vertical axle.A second cylinder, with moment of inertia 36.9 kg m2, initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two even- tually reach the same angular velocity 1. 3.42183 2. 2.28246 3.1.09878 4.4.68678 12 5. 1.24527 I 6. 2.9818 0m Before After Calculate the final angular velocity Answer in units of rad/s. Answer in units of rad/s. 7. 5.00396 8.4.93362 9. 4.37359 10.0.688845