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Questions  

A body executing SHM has a maximum velocity 1 m/sec, maximum acceleration of 4 m/sec2. It’s amplitude in meters is

a
1
b
0.75
c
0.5
d
0.25

detailed solution

Correct option is D

Given velocity maximum is  vmax=1m/s=ωA, here w=angular velocity,A=amplitude acceleration maximum         amax=4m/s2=ω2A    divide above two equations ω=amax/vmax=4  we know that, vmax=A×ω ⇒A=vmaxω, here A=amplitude ⇒A=14=0.25 m

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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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