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Questions  

A particle executing SHM of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is

a
1sec
b
1/3sec
c
2/3sec
d
3/2sec

detailed solution

Correct option is C

Equation of motion y=acos⁡ωt⇒ a2=acos⁡ωt⇒cos⁡ωt=12⇒ωt=π3⇒ 2πtT=π3⇒t=π3×T2π=43×2=23sec

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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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