asl2010
Mar24-10, 08:05 PM
1. A uniform thin rod of length .50 m and mass 4.0 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3.0 g bullet traveling in the horizontal plan of the rod is fired into one end of the rod. As viewed from above, the direction of the bullet's velocity makes an angle degrees with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 10 rad/s immediately after the collision, what is the magnitude of the bullet's velocity just before the impact.
2. A billiard ball of mass m=.200 kg rolls without slipping across a table at speed v initial = 2.5 m/s. It collides with a rod of length d=1.0 m and mass M =2m. The rod is pivoted about a frictionless axle through its center, and it is initially hanging straight up and down at rest. After the collision, the billiard ball moves straight ahead with half the speed.
(a) What is the rod's angular velocity after the collision?
(b) Is the mechanical energy conserved during the collision?
Test tomorrow, have no idea how to solve these problems teacher did not go over in class...
please help, answers greatly appreciated.
2. A billiard ball of mass m=.200 kg rolls without slipping across a table at speed v initial = 2.5 m/s. It collides with a rod of length d=1.0 m and mass M =2m. The rod is pivoted about a frictionless axle through its center, and it is initially hanging straight up and down at rest. After the collision, the billiard ball moves straight ahead with half the speed.
(a) What is the rod's angular velocity after the collision?
(b) Is the mechanical energy conserved during the collision?
Test tomorrow, have no idea how to solve these problems teacher did not go over in class...
please help, answers greatly appreciated.