A 8 kg body perform simple harmonic motion of amplitude 30 sec The resorting force is 60 newton - Physics -

Question

A 8 kg body perform simple harmonic motion of amplitude 30 sec The
resorting force is 60 newton when the displacement is 30 sec find
time period , acceleration , potential energy , kinetic energy at
when displacement is 12 cm

Ujjval Chauhan · Accepted Answer

Dear student

Given that
m=8 kg, a=30cm=0 3 mF=60 N when x=0
3 m F=kx k=600
3=200 N/mbut k=mω2  soω=km=2008=5 rad/sTime period T=2πω=2×3
145=1 256 sWhen x=12 cm =0
12macceleration a=ω2x=52×0
12=3 m/s2Potential energyU=12kx2=12×200×0
122=1 44 Jkinetic energyK=12ka2-x2=12×200×0
32-0 122=7 56 J

A 8 kg body perform simple harmonic motion of amplitude 30 sec. The resorting force is 60 newton. when the displacement is 30 sec . find time period , acceleration , potential energy , kinetic energy at when displacement is 12 cm .