Concept explainers
Check Your Understanding A hollow cylinder is on an incline at an angle of
(a)
Whether the cylinder will roll without slipping.
Answer to Problem 11.1CYU
The cylinder will roll with slipping.
Explanation of Solution
Given:
The inclination of hollow cylinder with the horizontal is
The value of static friction of the surface is
Formula used:
The expression for the checking the slippage condition is given by,
Here,
Calculation:
The moment of inertia of the hollow cylinder is
The slipping condition is checked as,
Conclusion:
Therefore, as
(b)
Whether the solid cylinder will roll without slipping.
Answer to Problem 11.1CYU
The solid cylinder will roll without slipping.
Explanation of Solution
Given:
The inclination of hollow cylinder with the horizontal is
The value of static friction of the surface is
Formula used:
The expression for the checking the slippage condition is given by,
Here,
Calculation:
The moment of inertia of the solid cylinder is
The slipping condition is checked as,
Conclusion:
Therefore, as
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