Concept explainers
Block B starts from rest, block A moves with a constant acceleration, and slider block C moves to the right with a constant acceleration of 75 mm/s2. Knowing that at
(a)
The acceleration A and B.
Answer to Problem 11.57P
Explanation of Solution
Given information:
Block ‘B’ starts from rest
Block ‘A’ moves with constant acceleration
Block ‘C’ moves with constant acceleration of
After,
In a dependent motion of particles such as the pulley system shown above,
The total length of the rope is a constant
For example,
Calculation:
In above system the total length of rope is constant, therefore,
Where,
Differentiate above equation,
Differentiate above equation,
For block ‘B’
At
Substitute,
Therefore,
Conclusion:
Acceleration of block A and B are,
(b)
Initial velocities of A and C.
Answer to Problem 11.57P
Explanation of Solution
Given information:
Block ‘B’ starts from rest
Block ‘A’ moves with constant acceleration
Block ‘C’ moves with constant acceleration of
After,
For a uniformly accelerated motion,
In above equation,
Calculation:
For block ‘C’
At
According to sub-part a,
We know that
Therefore,
Conclusion:
Initial velocitiesof block A and C are,
(c)
The change in position of block ‘C’ after
Answer to Problem 11.57P
Explanation of Solution
Given information:
Block ‘B’ starts from rest
Block ‘A’ moves with constant acceleration
Block ‘C’ moves with constant acceleration of
After,
For a uniformly accelerated motion,
In above equation,
Calculation:
According to sub part b,
For block C,
After
Conclusion:
Change in distance of block C after
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Chapter 11 Solutions
Vector Mechanics For Engineers
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