A heavy particle of mass 8 kg is executing SHM on the x-axis with time period 6.28 sec. If its maximum & minimum potential energy during motion is 80 J and 16 J respectively then find out amplitude of

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A heavy particle of mass 8 kg is executing SHM on the x-axis with time period 6.28 sec. If its maximum & minimum potential energy during motion is 80 J and 16 J respectively then find out amplitude of the motion of particle :

TestHub · Accepted Answer

ω = 6.28 2 π ​ = 1 rad / s , so k = m ω 2 = 8 N / m . Energy stored between mean and extreme: 2 1 ​ k A 2 = 80 − 16 = 64 J . A 2 = 8 2 × 64 ​ = 16 ⇒ A = 4 m Answer: D

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