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Q.

The piston in the cylinder head of a locomotive has a stroke of 6 m. If the piston executing simple harmonic motion with an angular frequency of 200 rad min-1, its maximum speed is

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a

5 ms-1

b

10 ms-1

c

15 ms-1

d

20 ms-1

answer is B.

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Detailed Solution

Here, ω=200rad min−1Stroke means twice the amplitude.∴ A=3mMaximum speed,vmax=Aω=3×200=600m min−1=60060ms−1=10ms−1
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The piston in the cylinder head of a locomotive has a stroke of 6 m. If the piston executing simple harmonic motion with an angular frequency of 200 rad min-1, its maximum speed is