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AMU Medical AMU Solved Paper-2015

  • question_answer
    A wheel is rotating freely at angular speed 800 rev/min on a shaft whose rotational inertia negligible. A second wheel, initially at rest and with twice the rotational inertia of the first is suddenly coupled to the shaft. The angular speed of the resultant combination of the shaft and two wheel is

    A)  267 rev/min

    B)  335 rev/min

    C)  400 rev/min

    D)  1150 rev/min

    Correct Answer: A

    Solution :

                    Angler momentum is conserved.                 \[{{I}_{b}}={{L}_{a}}\]                 \[{{l}_{1}}\,{{\omega }_{1}}+{{I}_{2}}{{\omega }_{2}}\]                 \[=I_{1}^{}\,\omega _{1}^{}+I_{2}^{}\,\omega _{2}^{}\]                 \[{{I}_{1}}\,{{\omega }_{1}}+0=(I+2I)\,{{\omega }_{f}}\]                 \[{{\omega }_{f}}=\frac{{{\omega }_{1}}}{3}=\frac{B\omega }{3}=267\] rev/min               


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