A mass m, stretches horizontally from a spring which has spring constant k, and is subjected...

A mass m, stretches horizontally from a spring which has spring constant k, and is subjected to a retarding force equal to bv, where v is the instantaneous velocity of the mass. A particle of mass 10 gm moves along the x axis under the influence of two forces. The first is a force (in g cm s-2) of attraction to the origin O which is 40 times the distance from O. The second is a damping force proportional to the instantaneous speed. When the speed is 10 cm/s, the damping force is 200 g cms-2. The particle starts from rest at a distance 20 cm from O.

a) Draw a free body diagram of the system.

b) find the differential equation for the motion.

c) What are the amplitude, period and frequency of the oscillation

Expert Solution

genius_generous answered 2 years ago

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