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A mass m = 8kg is attached to a spring a...

A mass m = 8kg is attached to a spring as shown in figure and held in positioin so that the spring remains unstretched. The spring constant is 200 N/m. The mass m is then released and begins to undergo small oscillations. The maximum velocity of the mass will be (g=10m/`s^(2))`

Text Solution

Verified by Experts

Mean position will be at k,x=mg or
`x=(mg)/k=(8xx10)/200=2/5=0.4m`
This is also the amplitude of oscillation
i.e. A=0.4m
Now `v_("max")=A omega=Asqrt(k/m)=(0.4)sqrt(200/8)=2m//s`
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