A block is placed on a platform,which is making oscillations with amplitude of 10cm along a vertical line.the least period of oscillation of platform so that it will not get separated from the platform is
Answer (1)
Student Expert
7th Jul, 2020
Hey!
amplitude =10 cm = 10^-1m
The object will not detached from the platform it angular frequency Wmax is such that during downward motion, the maximum acceleration equals to the acceleration due to gravity.
i.e. W^2max(A) =g
Wmax= sqrt(g/A)
Tmin=(2π/wmax) =2π sqrt(A/g)
A=10^-1m
g=10m/s2
Tmin=2π sqrt(10^-1/10)=2π(1/100)= 0.0628sec
Hope it helps!
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