CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    A mass of 4 kg suspended from a spring of force constant\[800\text{ }N{{m}^{-1}}\]executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum 1accelerations (in\[m{{s}^{-2}}\]) of the mass is

    A)  5                            

    B)         15

    C)  45                         

    D)         20

    E)  25

    Correct Answer: D

    Solution :

    The total energy \[=\frac{1}{2}k{{A}^{2}}\] \[u=\frac{1}{2}k{{A}^{2}}\] Or           \[{{A}^{2}}=\frac{8}{800}\] Or           \[{{A}^{2}}=\frac{1}{100}\] Or           \[A=\frac{1}{10}=0.1\,m\]                 \[{{a}_{\max }}={{\omega }^{2}}A=\frac{k}{m}.A\]                 \[=\frac{800}{4}\times 0.1\]                 \[{{a}_{\max }}=20\,m/{{s}^{2}}\]


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