A 2gm particle is subjected to an elastic force of 0.03N/m and a frictional force of 0.005Ns/m. If it is displaced through 2cm and released, find whether it is oscillatory or not. If so, find time period.
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mass of the particle, m = 0.3 kg
applied force, F = - kx;
k=15N/m
x=20cm=0.2m
Let the acceleration of the particle=a
Using the Newton’s 2nd law of motion we get,
F=m×a or,−kx=ma
or, −15×0.2=0.3×a or,a=−3.0/0.3
or, a=−10m/s
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