
Concept explainers
(a)
The maximum force which is applied so that there is no relative motion between block and bracket.
(a)

Explanation of Solution
Given:
Mass of the block is
Mass of the bracket is
Value of the static friction is
Value of the kinetic friction is
Formula used:
Draw free body diagram of block and bracket.
Write expression for net force in x -direction on block.
Substitute
Here,
Substitute
Here,
Rearrange above expression for
Write expression for net force in x -direction on block.
Substitute
Here,
Substitute
Calculation:
Substitute
Substitute
Conclusion:
Thus, the maximum force is
(a)
The maximum force which is applied so that there is no relative motion between block and bracket.
(a)

Explanation of Solution
Given:
Mass of the block is
Mass of the bracket is
Value of the static friction is
Value of the kinetic friction is
Formula used:
Draw free body diagram of block and bracket.
Write expression for net force in x -direction on block.
Substitute
Substitute
Rearrange above expression for
Write expression for net force in x -direction on block.
Substitute
Substitute
Calculation:
Substitute
Conclusion:
The acceleration of the block is equal to the acceleration of the bracket. Thus, the acceleration of the bracket is
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Chapter 5 Solutions
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