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A particle is vibrating in simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position is its energy half potential and half kinetic?
  • a)
    1 cm
  • b)
    √2 cm
  • c)
    2 cm
  • d)
    2√2 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A particle is vibrating in simple harmonic motion with an amplitude of...
The total energy E of a particle vibrating in S.H.M. is given by
 ...(1)
The kinetic energy K is given by

where y =  displacement of the particle.



Hence the kinetic energy is half of the total energy when the displacement of the particle is  Given that a = 4cm.
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A particle is vibrating in simple harmonic motion with an amplitude of...
2 cm
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A particle is vibrating in simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position is its energy half potential and half kinetic?a)1 cmb)√2 cmc)2 cmd)2√2 cmCorrect answer is option 'D'. Can you explain this answer?
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