A 0.17-kg bullet is fired with a velocity of 76.9 m/s into a solid cylinder of m
ID: 1982245 • Letter: A
Question
A 0.17-kg bullet is fired with a velocity of 76.9 m/s into a solid cylinder of mass 10.1 kg and radius 0.31 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of motion of the bullet is perpendicular to the axis and at a distance d = 0.0031 m from the center. Find the angular speed of the system after the bullet strikes and adheres to the surface of the cylinder.
A 0.17-kg bullet is fired with a velocity of 76.9 m/s into a solid cylinder of mass 10.1 kg and radius 0.31 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of motion of the bullet is perpendicular to the axis and at a distance d = 0.0031 m from the center. Find the angular speed of the system after the bullet strikes and adheres to the surface of the cylinder.Explanation / Answer
0.041rad/s angular momentum is conserved m*v *d = (m+M)r^2*w => w = m*v0*d/[(m+M)*r^2] => w =0.041 rad/s
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