Concept explainers
(a)
Velocity of the block and angular velocity of the disk immediately after perfectly plastic impact.
Answer to Problem 17.125P
The velocity of the block and angular velocity of the disk immediately after perfectly plastic impactare
Explanation of Solution
Given:
Mass of block is
Concept used:
Conservation of momentum for perfectly plastic condition is given as follows:
Here, angular velocity of disk is
Calculation:
Velocity of the block after the cord becomes taut is calculated by conservation of energy as follows:
Substitute
Velocity of the block is calculated as follows:
Thus, the velocity of the block and angular velocity of the disk immediately after perfectly plastic impactare
Conclusion:
The velocity of the block and angular velocity of the disk immediately after perfectly plastic impactare
(b)
Velocity of the block and angular velocity of the disk immediately after perfectly elastic impact.
Answer to Problem 17.125P
The velocity of the block and angular velocity of the disk immediately after perfectly plastic impactare
Explanation of Solution
Given:
Mass of block is
Calculation:
Substitute
Apply the conservation of energy for elastic impact as follows:
Substitute
On further simplification,
Velocity of the block is calculated as follows:
Thus, the velocity of the block and angular velocity of the disk immediately after perfectly elastic impactare
Conclusion:
The velocity of the block and angular velocity of the disk immediately after perfectly elastic impactare
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Chapter 17 Solutions
Vector Mechanics For Engineers
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