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AMU Medical AMU Solved Paper-2010

  • question_answer
    What is the type of motion of a mass if the total force acting on the mass at a time \[t\,is\,\overset{\to }{\mathop{F}}\,=-k\,\overset{\to }{\mathop{x}}\,-b\,\overset{\to }{\mathop{v}}\,\,,\]where k and b are constants?

    A)  Simple harmonic motion

    B)  Forced oscillations

    C)  Resonance

    D)  Damped harmonic oscillations

    Correct Answer: D

    Solution :

                     \[\vec{F}=-k\,\vec{x}-b\,\vec{v}\] The first term \[-k\,\vec{x}\] represents linear restoring force and the second term \[-b\,\vec{v}\]representing damping force, where k is a force constant and b is a damping factor. The given equation represents the damped harmonic oscillations.


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