a-cylinder-of-mass-m-radius-r-and-length-l-is-tightly-fitted-with-a-bar-that-act

Question

A cylinder of mass M, radius R, and length L is tightly fitted with an axle that acts like a rotational axis at a distance (3/5)R from the center of the cylinder. The axle has a radius r. A thread wound on the axle is pulled with a tension T. Assuming the axle to have an insignificant moment of inertia, derive an expression for the cylinder's angular acceleration.

Diagram of a cylinder with an axle, showing tension T and distance (3/5)R from the center.

Accepted Answer

(50rT)/(43MR²)

Answer

(2rT)/(MR²)

Answer

(rT)/(MR²)

Answer

(10rT)/(11MR²)

Answer

(23rT)/(10MR²)