(a)
The net force acting on the entire two-block system.
(a)
Answer to Problem 5SP
The net force acting on the entire two-block system is
Explanation of Solution
Given info: The horizontal force acting on
Write the expression for the net horizontal force.
Here,
Total force on the left direction is the sum of
That is,
Substitute
Conclusion:
Thus, the net force acting on the entire two-block system is
(b)
The acceleration of the system.
(b)
Answer to Problem 5SP
The acceleration of the system is
Explanation of Solution
Given info: The masses of the blocks are
Write the expression for the acceleration of the horizontal acceleration of the block.
Here,
Total mass of the system is
Substitute
Conclusion:
Thus, the acceleration of the system is
(c)
The force acting on the
(c)
Answer to Problem 5SP
The force acting on the
Explanation of Solution
Given info: The horizontal force acting on
Let
Write the expression for the net force on
Here,
Substitute
This net force is acting along the direction of acceleration. That is, along the right direction.
Write the expression for the net force on the
Here,
The negative sign indicate that the force of tension is along the right direction whereas the
Substitute
Therefore, the force acting on the
Conclusion:
Thus, the force acting on the
(d)
The net force and acceleration of
(d)
Answer to Problem 5SP
The net force on the
Explanation of Solution
Given info: The horizontal force acting on
Write the expression for the net force on the
Here,
Substitute
Write the expression for the net acceleration on
Here,
Substitute
This is same as the net acceleration obtained in part
Conclusion:
Thus, the net force on the
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