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A torsional system with discs of moment of inertia $${I_1}$$ and $${I_2}$$ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to
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A. $${\text{G}} \times {I_2}$$

B. $${{\text{G}}^2} \times {I_2}$$

C. $$\frac{{{I_2}}}{{\text{G}}}$$

D. $$\frac{{{I_2}}}{{{{\text{G}}^2}}}$$

Answer: Option B

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Comments ( 1 )

  1. HARENDRA KUMAR
    HARENDRA KUMAR :
    4 years ago

    Equivalent inertia of disc B = m.i. of disc B/ (gear ratio)2.
    gear ratio=n1/n2
    m.i. of B=I2
    So, equi. inertia of B=I2/(n1/n2) = I2*G^2 (besause G=n2/n1).

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