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Questions  

A particle perfroms SHM with a period T and amplitude a. The mean velocity of the particle over the time interval during which it travels a distance a/2 from the extreme position is  

a
a/T
b
2a/T
c
3a/T
d
a/2T

detailed solution

Correct option is C

x=acos⁡ωta/2=acos⁡ωt0 or  cos⁡π3=cos⁡ωt0  or  π3=ωt0 ∴t0=π3ω v=dxdt=−aωsin⁡ωt∴ v¯=∫0π/3ω vdt∫0π/3ω dt But  ω=2πT ∴ v¯=3aT

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Similar Questions

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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