A bullet with a mass of 0.05 kg is fired in a straight line at a 2 kg wheel with a radius of 0.3 m that is fixed to rotate about its center. Model the wheel
as a solid cylinder with I = % M R2. The bullet hits the wheel at a vertical
distance of y = 0.2 m above the center of the wheel and explodes through
to the other side. After the collision, the wheel is rotating with an angular
speed of 3 rad/s, while the bullet is moving at a translational speed of 50
m/s. Assume the system is isolated with negligible loss of mass in the
collision. Find the speed of the bullet before it collided with the wheel.
w = 3 rad /s
Ve=50 m/s
y= 0.2 m
m=0.05 kg
R=0.3 m
M= 2 kg