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Questions  

The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is

a
π5sec
b
2πsec
c
20πsec
d
5πsec

detailed solution

Correct option is A

At mean position, the kinetic energy is maximum. Hence  12ma2ω2=16 12×5.12×25×10-22ω2=16On putting the values we get  ω=10 ⇒ T=2πω=π5sec

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A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92×103m . What must be the least period of these oscillations, so that the object is not detached from the platform 


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