
Concept explainers
(a)
The mass when a particle is stick to rod.
(a)

Answer to Problem 68P
Explanation of Solution
Given:
Mass of rod, M =
Formula used:
Conservation of mechanical energy:
Rotational kinetic energy:
Where, Iis the moment of inertia and
Calculation:
Consider
Substitute
Consider the angular speed of the system after impact to be
As angular momentum is conserved, so
So
Substitute numerical values and simplify to obtain:
The mechanical energy is conserved. The rotational kinetic energy of the system just after their collision can be related to their potential energy.
Substitute
Substitute
Substituting the values of
Conclusion:
The mass when a particle is stick to rod is
(b)
The energy dissipated in the inelastic collision.
(b)

Answer to Problem 68P
7.5J
Explanation of Solution
Given:
Mass of rod, M =
Formula used:
From the previous part:
Calculation:
The energy dissipated in the inelastic collision is:
Substitute all the values and solve:
Conclusion:
The energy dissipated in the inelastic collision is 7.5J.
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Chapter 10 Solutions
Physics for Scientists and Engineers, Vol. 1
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