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Potential energy of a particle in SHM along \( x \)-axis is given by
\[
U=10+(x-2)^{2}
\]
\( \mathrm{P} \)
Here, \( U \) is in joule and \( x \) in metre. Total mechanical energy of the particle is \( 26 \mathrm{~J} \). Mass of the particle is \( 2 \mathrm{~kg} \). 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.
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