Concept explainers
(a)
The time required to reduce theangular velocityof cylinder A to
Cylinder A has the angular velocity of
Answer to Problem 17.75P
Time required for cylinder A to attain
Explanation of Solution
Given:
Mass of cylinder,
Radius of cylinder,
Angular velocity of cylinder
Concept used:
Impulse momentum principle.
Moment of inertia
Calculation:
According to impulse-momentum principle for cylinder B,
Taking moment about B,
We have,
Moment of inertia,
As per kinematics.
Considering C as aninstantenous center of cylinder A.
According to the impulse-momentum principle in cylinder A,
Taking moment about C,
Conclusion:
Thus we can find the time required to reduce angular velocity from
(b)
The tension in the portion of the belt connecting the two cylinders.
Answer to Problem 17.75P
Belt tension between two cylinders is
Explanation of Solution
Given:
The radius of the cylinder,
Angular velocity of cylinder
Concept used:
Impulse momentum principle
Moment of inertia
Calculation:
As per calculation is done in subpart (a),
We have,
Conclusion:
Thus the tension in belt between cylinder A and B is found to be
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Chapter 17 Solutions
Vector Mechanics For Engineers
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