Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please explain why you choose the option, and what\'s wrong with the other optio

ID: 1410089 • Letter: P

Question

Please explain why you choose the option, and what's wrong with the other options, thanks a lot.?

Two spools with equal radii and equal masses are wound onto opposite ends of a massless string, the center of which is then hung over a massless, frictionless pulley, as in the diagram to the right. The spool on the left is a solid cylinder, while the one on the right is hollow. The two spools are released from rest at equal heights and are allowed to fall/unwind. The string does not slip across any of the surfaces it contacts. A little while later, which of the following is observed? The solid spool is at the same height as the hollow spool and the pulley is rotating clockwise. The solid spool is at the same height as the hollow spool and the pulley is rotating counterclockwise. The solid spool is lower than the hollow spool and the pulley is rotating clockwise. The solid spool is lower than the hollow spool and the pulley is rotating counterclockwise. The solid spool is lower than the hollow spool and the pulley is stationary.

Explanation / Answer

Since Tension (upward force) is same on both spools and weight mg is also same...Both wil have same vertical acceleration, hence same height.

Moment of inertia of solid is less than hollow, so angular acceleration of solid is more than hollow for same torque by tension.

But the vertical acceleration is same, it means the pully is rotating clockwise, in order to create same acceleration

option (a) is correct