Concept explainers
a.
The value of coefficient of static friction between box and floor.
a.
Explanation of Solution
Given:
Period of oscillation is
Box started to slip when amplitude reaches
Formula used:
For equilibrium:
Write expression for force on x-direction.
Substitute
Here,
Write expression for force on y-direction.
Substitute
Here,
Write expression for maximum acceleration related to angular frequency and amplitude.
Here,
Substitute
Substitute
Substitute
Substitute
Calculation:
Substitute
Conclusion:
Thus, the value of coefficient of static friction between box and floor is
(b)
The maximum amplitude of vibration for given value of
(b)
Explanation of Solution
Given:
The value of
Formula used:
For equilibrium:
Write expression for force on x-direction.
Substitute
Here,
Write expression for force on y-direction.
Substitute
Here,
Write expression for maximum acceleration related to angular frequency and amplitude.
Here,
Substitute
Substitute
Substitute
Substitute
Calculation:
Substitute
Conclusion:
Thus, the maximum value of amplitude is
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Chapter 14 Solutions
Physics for Scientists and Engineers
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