If A is amplitude of a particle in SHM, its displacement from the mean position when its kinetic energy is thrice that to its potential energy

Question

If A is amplitude of a particle in SHM, its displacement from the mean position when its kinetic energy is thrice that to its potential energy

If A is amplitude of a particle in SHM, its displacement from the mean position when its kinetic energy is thrice that to its potential energy
A. A
B. `A//4`
C. `A//2`
D. `3A//4`

Monjur Alahi

8 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`K.E.=3P.E.`
`(1)/(2)momega^(2)(A^(2)-x^(2))=3xx(1)/(2)momega^(2)x^(2)`
`A^(2)-x^(2)=3x^(2)`
` A^(2)=Ax^(2)`
`A=2x`
`x=(A)/(2)`

8 views Answered 2023-02-05 15:29