The potential energy of a simple harmonic oscillator of mass 2 kg in its mean position is 5J. If its total energy is 9J and its amplitude is 0.01 m,its time period would be
π/10sec
π/20sec
π/50sec
π/100sec
A
π/10sec
B
π/100sec
C
π/50sec
D
π/20sec
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Solution
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kinetic energy at
mean position= total energy-potential energy at mean
position=9J−5J=4J kinetic energy at mean position=12mvmax2 ⇒12mvmax2=4J ⇒vmax=√4×22m/s=2m/s ⇒Aω=A2πT⇒A2πT=2m/s⇒T=Aπ=0.01π=π100s
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