Questions
At what displacement is the KE of a particle performing SHM of amplitude 10 cm equal to three times it’s PE?
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a
10 cm
b
5 cm
c
15 cm
d
20 cm
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Correct option is B
we know KE=12mw2A2-x2, here m= mass of oscillator,w=angular velocity,A=amplitude,x=displacement PE=12mw2x2 given KE = 3PE, Substitute the above equations 12mw2A2-x2=32mw2x2 ⇒A2=4x2 ⇒x=A/2 Given A=10 cm ∴x=102=5cmSimilar Questions
When the displacement is half the amplitude, the ratio of potential energy to the total energy is
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