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Potential Energy (U) of a body of unit m...

Potential Energy `(U)` of a body of unit mass moving in a one-dimension conservation force field is given by, `U = (x^(2) - 4x + 3)`. All units are in `S.I`
(i) Find the equilibrium position of the body.
(ii) Show that oscillations of the body about this equilibrium position is simple harmonic motion & find it time period.
(iii) Find the amplitude of oscillation if speed of the body at equilibrium position is `2sqrt(6)m//s`

A

The body will perform simple harmonic motion about x = 2 units

B

The body will perform oscillatory motion but not simple harmonic motion.

C

The body will perform simple harmonic motion with time period `sqrt(2)pis`.

D

If speed of the body at equilibrium position is 4m/s, then the amplitude of oscillation would be `2sqrt(2)m`

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The correct Answer is:
A, C, D
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