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Question

An impulsive force (F) acts on a body which changes with time (t). The Ft graph is shown below. The value of impulse in time π sec will be

A
350 N-s
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B
200 N-s
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C
250 N-s
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D
300 N-s
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Solution

The correct option is B 200 N-s
Given,
Impulsive force, F=100sint
Time, t=π sec
We know that
Impulsive force, F=dpdt
Impulse =dp=Fdt
Integrating on both sides we get,
p=p0dp=π0Fdt
p=π0100 sint dt
=100[cost]π0
=100[(1)(1)]
p=200 N-s
The value of impulse in π sec is 200 N-s
Hence, option(b) is the correct answer.

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