Concept explainers
a)
Free body diagram of each block.
Answer to Problem 32P
Solution:
Explanation of Solution
On each block, normal force by the surface acts in upward direction and force of gravity act in a downward direction. the contact force acts between the blocks in the equal and opposite direction
b)
The acceleration of the system.
Answer to Problem 32P
Solution:
Explanation of Solution
Consider the three blocks as one by combining the masses.
Given:
Mass of block A
Mass of block B
Mass of block C
Total Sum
The net force on the combination of block
Acceleration
Formula Used:
Calculation:
The total mass of the blocks is given as
Acceleration is given as
c)
The net force on each block.
Answer to Problem 32P
Solution:
Explanation of Solution
Given:
Mass of block A
Mass of block B
Mass of block C
Acceleration
The net force on block A
The net force on block B
The net force on block C
Formula Used:
The net force is given as
Calculation:
The net force on block A is given as
The net force on block B is given as
The net force on block C is given as
.
(d) To Determine:
The contact force on each block.
Answer to Problem 32P
Solution:
Explanation of Solution
The contact forces between the two blocks are equal in magnitude and opposite in direction as per
Hence
Given:
Mass of block A
Mass of block B
Mass of block C
Acceleration
The net force on block A
The net force on block B
The net force on block C
Formula Used:
The net force is given as
Calculation:
From the force diagram, force equation for block A along the horizontal direction is given as
The net force on block A is given as
Also
From the force diagram, force equation for block C along the horizontal direction is given as
Also
e)
Numerical answers to part b), c)and d)
Answer to Problem 32P
Solution:
Explanation of Solution
Given:
Mass of block A
Mass of block B
Mass of block C
Acceleration
The net force on block A
The net force on block B
The net force on block C
Formula Used:
The net force is given as
Calculation:
Using the equation
Inserting the values
The net force on block A, B and C is given as
The contact force between A and B is given as
Chapter 4 Solutions
Physics: Principles with Applications
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