Using software, a simulation of a javelin being thrown both on Earth and on the moon is created. In both cases, the velocity and
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The concepts required to solve this problem are those related to the conservation of the angular momentum and the moment of inertia of the disk. We will begin by calculating the moment of inertia of the disc, then the moment of inertia of the disc after the two two blocks hits and sticks to the edges of the turn table. In the end we will apply the conservation theorem.
The radius is given as,
When a block falls from above and sticks to the turn table, the moment inertia of the turntable increases.
Since two blocks are stick to the turn table, the total final moment of inertia of the turntable is the sum moment of inertias of individual turntable, and two blocks.
The moment of inertia of each block is
Total moment of inertia of two block is
The final moment of inertia of the turn table is
From the conservation of the angular momentum, the initial angular momentum of the system is equal to final angular momentum of the system,
Rearrange the equation we have that
The magnitude of the turntable's angular velocity is 66.67rpm