Q1. A rifle fires a 2.39 10-2-kg pellet straight upward, since the pellet rests on a compressed spring that is released when the trigger is pulled. The spring has a negligible mass and is compressed by 9.17 10-2 m from its unstrained length. The pellet rises to a maximum height of 6.12 m above its position on the compressed spring.
Ignoring air resistance, find out the spring constant.
Q2. A 4.00 kg counterweight is attached to a light cord, which is wound around a spool. The spool is a uniform solid cylinder of radius 8.00 cm and mass 2.00 kg.
(a) What is net torque on the system about the point O?
(b) When counterweight has a speed v, the pulley has an angular speed w= v/R. Determine the total angular momentum of the system about O.
(c) Using the fact that torque = dL/dt and your result from
(b), calculate the acceleration of the counterweight.