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Questions  

The period of a particle in SHM is 8 sec. At t = 0, it is at the mean position. The ratio  of the distances travelled by it in the first one second and in the 2nd one second is

a
12
b
12
c
2
d
2+1

detailed solution

Correct option is D

At t = 0, let particle move in +x direction. So, equation of SHM is :  x=AsinωtNow,  ω=2πT=2π8=π4  So,  x=Asinπt4v=Aπ4cosπt4 Distance travelled in t seconds,  d=∫0tvdtWhen  0<πt4<π2   or   0

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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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