A small blob of putty of mass m falls from the ceiling andlands on the outer rim
ID: 1725773 • Letter: A
Question
A small blob of putty of mass m falls from the ceiling andlands on the outer rim of a turntable of radius R andmoment of inertia I0 that is rotating freelywith angular speed 0 about its verticalfixed-symmetry axis. (Use the following variables as necessary:omega_0 for 0, I_0 forI0, m, and R.)(a) What is the postcollision angular speed of theturntable-putty system?
(b) After several turns, the blob flies off the edge of theturntable. What is the angular speed of the turntable after theblob's departure?
Explanation / Answer
Given thatthe moment of inertia of turntable is Io Radius oftable is R mass ofputty is m initialangular velocity is o ---------------------------------------------------------------------- Since there is no external torque on the system so theangular momentum conserved Total initial angular momentum = total final angular momentum Io*o = ( Io + mR2) = Io*o / ( Io + mR2) (b) If the blob flies off tangentially to the turntable, itsangular momentum doesn’t change (with respect to an axisthrough the center of turntable). Because there is no external torqueacting on the blob-turntable system, the total angular momentum of the system will remain constant and the angularmomentum of the turntable will not change. So final angular velocity is only
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.