A projectile of mass m is traveling at a constant velocity v0, toward a stationa

Question

A projectile of mass m is traveling at a constant velocity v0, toward a stationary disk (I = MR2/2) that is free to rotate about a pivot through its center axis O. Before impact, the projectile is traveling along a line displaced a distance b below the axis. The projectile sticks to the disk at point B. (a.) Before impact, what is the angular momentum of the system about the O axis? (b.) After impact, what is the angular velocity ? of the projectile-and-disk system?

I need an explanation in the simplest possible terms; explaing what each variable in the equations used represents.

Explanation / Answer

Lo=initial angular momentum of the system about O= angular momentum of projectile

Lo= mvob

AS there is no external torque about O, angular momentum of the system about O remains conserved.

Lo=Lf

Lf=I+mb2=mvob

=mvob/(I+mb2)= mvob/(0.5MR2+mb2)

Hope this helps! Please rate lifesaver! :)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.