NEET Physics NLM, Friction, Circular Motion NEET PYQ-NLM Friction Circular Motion

  • question_answer
    In SHM restoring force is \[F=-\text{ }kx,\] where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon:                                         [AIPMT 2001]

    A) k, A and M

    B) k, x, M

    C) k, A

    D) k, x

    Correct Answer: C

    Solution :

    In SHM, the total energy = potential energy + kinetic energy
                or         \[E=U+K\]
                            \[=\frac{1}{2}m{{\omega }^{2}}{{x}^{2}}+\frac{1}{2}m{{\omega }^{2}}({{A}^{2}}-{{x}^{2}})\]
                            \[=\frac{1}{2}m{{\omega }^{2}}{{A}^{2}}\]
                            \[=\frac{1}{2}k{{A}^{2}}\]
                where \[k=\] force constant \[=m{{\omega }^{2}}\]
                Thus, total energy depends on k and A.


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