(a)
Calculate the angular velocity of the ring when collar passes through
Answer to Problem 17.91P
The angular velocity of the ring when coller is at
Explanation of Solution
Given:
The weight of collar =
Mass of ring =
The radius of the ring,
The angular velocity
Concept used:
Conservation of angular momentum.
Conservation of energy.
Calculation:
Position (1):
Position (2):
By conservation of angular momentum,
Potential energy at position 1 and position 2
The kinetic energy of position 1 and position 2
Applying conservation of energy principle,
But,
Mass of collar,
Mass of ring,
Conclusion:
Using conservation of angular momentum we are able to find, the angular velocity of the ring for
(b)
What will be the velocity of collar with respect to ring? Collar is free to slide on a ring and ring is attached to a vertical shaft. Which rotates in a fixed bearing. Initially, collar is at top of the ring
Answer to Problem 17.91P
The corresponding velocity of collar relative to ring is
Explanation of Solution
Given:
The weight of color =
Mass of ring =
The radius of the ring,
The angular velocity
Concept used:
Conservation of angular momentum.
Conservation of energy.
Calculation:
Potential energy at position 1 and position 2
The kinetic energy of position 1 and position 2
Applying conservation of energy principle,
Conclusion:
Using conservation of energy principle we are able to find the velocity of collar relative to ring at
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Chapter 17 Solutions
Vector Mechanics For Engineers
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