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Questions  

A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is 

a
12π3
b
2π3
c
2π3
d
32π

detailed solution

Correct option is C

Velocity v=ωA2−x2  and acceleration  =ω2xNow given,  ω2x=ωA2−x2 ⇒ω2.1=ω22−12   ⇒ω=3  ∴T=2πω=2π3

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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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