BCECE Engineering BCECE Engineering Solved Paper-2012

  • question_answer
    By suspending a mass of 0.50 kg a spring is stretched by 8.20 m. If a mass of 0.25 kg is suspended, then its period of oscillation will be (Take\[g=10\,m{{s}^{-2}}\])

    A) \[0.137\text{ }s\]        

    B)         \[0.328\text{ }s\]

    C) \[0.628s\]           

    D)         \[1.000\,s\]

    Correct Answer: C

    Solution :

    The force constant of the spring, \[k=\frac{F}{x}=\frac{0.5\times 10}{0.2}=25\,N/m\] Now, if the mass of 0.25 kg is suspended by the spring, then the period of oscillation, \[T=2\pi \sqrt{\frac{m}{k}}\] \[=2\pi \sqrt{\frac{0.25}{25}}=0.628\,s\]


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