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The potential energy U of a body u wil m...

The potential energy U of a body u wil mass moving ill une dimensional conservative force field is given by `U = x^2 - 4x +3`. All units are in Sl. For situation mark out the correct statements(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`

Text Solution

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The correct Answer is:
A, C, D
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Knowledge Check

  • The potential energy of a particle of mass 2 kg moving along the x-axis is given by U(x) = 16(x^2 - 2x) joule. Its velocity at x = 1 m is 2 m/s. Then:

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    B
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    B
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