A body oscillates simple harmonically with an amplitude of 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is 1.0ms−1 . What is the period of oscillation?
A
0.1 s
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B
0.2 s
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C
π10s
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D
πss
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Solution
The correct option is Dπss Displacement x = +0.01 m. Therefore, acceleration a=−1.0ms−2.
Now a = −ω2x
Or -1.0 =−ω2×0.01
Which gives, ω=10rads−1 . Therefore, T=2πω=π5s.
Hence the correct choice is (d).