The potential energy of a particle oscillating along x-axis is given as
`U=20+(x-2)^(2)`
Here, `U` is in joules and `x` in meters. Total mechanical energy of the particle is `36J`.
(a) State whether the motion of the particle is simple harmonic or not.
(b) Find the mean position.
(c) Find the maximum kinetic energy of the particle.

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Potential energy of a particle in SHM along x - axis is gives by U = 10 + (x - 2)^(2) Here, U is in joule and x in metre. Total mechanical energy of the particle is 26 J . Mass of the particle is 2kg . Find (a) angular frequency of SHM, (b) potential energy and kinetic energy at mean position and extreme position, (c ) amplitude of oscillation, (d) x - coordinates between which particle oscillates.