Q.

A particle of mass 2 kg is moving on a straight line under the action of force F=(8-2x)N. The particle is released at rest from x=6m for the subsequent motion. Select the correct options:

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a

Equilibrium position at x=4

b

Time to go from x=2m to x=4m is π/2 sec.

c

Amplitude = 2m

d

Energy of SHM = 4J

answer is A, B, C, D.

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Detailed Solution

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Equilibrium :  F=8-2x=0x=4
As particle is at rest (Exhenete position) at 6m
Amplitude is 6-4=2m
Now T=2πmk=2π22=2πs
Time to move from 2m (Exhenete) to 4m (mean) 
π4=π2s
Energy =12mA2ω2=12×2×22×12=4J

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