Concept explainers
The speed of merry goes round after child gets into it. How much the rotational kinetic energy change.
Answer to Problem 84P
The speed of merry goes round after child gets into it is
Explanation of Solution
Write the expression for initial rotational inertia before child enters to the merry go round
Here,
After the child enters into merry go round, the rotational inertia changes. It is required to take account of the weight of the child.
Write the expression for the rotational inertia after the child enters the merry go round
Here,
Write the expression of initial angular momentum
Here,
Substitute equation (I) in (III)
Write the expression of final angular momentum
Here,
Substitute equation (II) in (V)
According to law of conservation of angular momentum,
Rearrange equation (VII) to obtain an expression for
Write the expression for change rotational kinetic energy
Substitute equation (I) and (II) in (IX)
Conclusion:
Substitute
Substitute
Therefore, the speed of merry goes round after child gets into it is
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