Concept explainers
(a)
To Find: The
(a)
Answer to Problem 83GP
The value of angular momentum is
Explanation of Solution
Given:
Mass of first cylindrical plate,
Mass of second cylindrical plate,
The
The radius of each clutch,
Time taken,
Formula used:
Angular momentum
Where,
Calculation:
Substitute the given values in equation (1):
Conclusion:
The value of angular momentum is
(b)
To Find: The torque required to accelerate the first plate.
(b)
Answer to Problem 83GP
The torque required to accelerate the first plate is
Explanation of Solution
Given:
The angular momentum of the first plate,
Time is taken,
Formula used:
Let the torque required to accelerate the first pate is
Torque is the rate of change of angular momentum
Change of angular momentum
Calculation:
Conclusion:
The value of torque is
(c)
To Find: The angular velocity of second plate.
(c)
Answer to Problem 83GP
The angular velocity of second plate is
Explanation of Solution
Given:
Mass of first cylindrical plate,
Mass of second cylindrical plate,
The angular velocity of the first plate,
The radius of each clutch,
Formula used:
When there is no external torque then the conservation of angular momentum valid:
Here, C is the constant.
Where,
Calculation:
Substitute the given values in equation (2):
Conclusion:
The value of angular velocity is
Chapter 8 Solutions
Physics: Principles with Applications
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