A circular table rotates in the x - y plane. The table is the gray, solid cylinder. It has mass m and radius R. The axis of rotation is the z-axis. The direction of rotation is given by the arrow-heads. A hollow ring of mass to be specified and radius R/2 is held at rest, slightly above the table and dropped onto the rotating table. The center of the ring is exactly in-line with the table’s axis of rotation. There is double-sided, adhesive tape on the bottom of the ring so it immediately sticks to and rotates with the table. Before the ring drops onto the table, the table rotates at a constant angular speed of ω0. Ignore friction. Determine the angular speed of the combined object just after the two join. Express your answer as a number multiplying the initial angular speed of the table. Enter the number in the format #.## where # is any digit from 0 to 9.
In this system of solid cylinder and ring angular momentum is always conserved
so,
where I is the moment of inertia of solid cylinder about com which is
so
Now after the ring sticks to the table Final
Monent of inertia of ring of mass m and R/2
so equating both we get
so,
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
Get Answers For Free
Most questions answered within 1 hours.