Concept explainers
The 2-Ib ball at A is suspended by an inextensible cord and given an initial horizontal velocity of v0 , If
The initial velocity
Answer to Problem 13.201RP
Initial velocity
Explanation of Solution
Given information:
Weight of ball is
The principle of conservation of energy is defined as,
When a particle moves under the action of conservation of forces, the sum of kinetic energy and potential energy of that particle remains constant.
Calculation:
At position 1,
At position 2,
The tension
Therefore,
According to conservation of energy,
Therefore,
At position 2,
Assume
For horizontal motion,
At point B,
Therefore,
For vertical motion,
At point B,
According to given information,
For
Try
Try
Try
Then,
Let,
Therefore,
Therefore the quadratic curve equation will be,
But,
Therefore, above equation becomes,
By solving we get,
Rejecting the second value, we get,
Now, try
Therefore, new quadratic curve fits,
Then the quadratic equation will be,
But,
Therefore, above equation becomes,
Solve to find
Then,
Now, try
Above value of
Now substitute
Therefore,
Conclusion:
The initial velocity is equal to
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Chapter 13 Solutions
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