
Concept explainers
(a)
The minimum horizontal force required to make both the blocks slide together along the floor.
(a)

Answer to Problem 147P
The minimum horizontal force required to make both the blocks slide together along the floor is
Explanation of Solution
Draw the free body diagram of the system.
The net force in the vertical direction is zero. In the horizontal direction, the force must be equal to the maximum static friction between the bottom block and the floor.
Write the horizontal force equation.
Here,
Conclusion:
Substitute
Thus, the minimum horizontal force required to make both the blocks slide together along the floor is
(b)
The maximum force with which the boy can push the block without the top block slides of the lower block.
(b)

Answer to Problem 147P
The maximum force with which the boy can push the block without the top block slides of the lower block is
Explanation of Solution
For the net system, find the expression for acceleration by finding the net force in the x direction.
Here,
Draw the free body diagram of the top block alone.
Use equation (II) to find the expression for force applied by the boy.
Here,
Conclusion:
Substitute
Thus, the maximum force with which the boy can push the block without the top block slides of the lower block is
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