Theory Of Machine GATE-2016, Set-2

  • 1. A single degree of freedom mass-spring-viscous damper system with mass m, spring constant k and viscous damping coefficient q is critically damped. The correct relation among m, k, and q is

    (A) \(\large q=\sqrt{2km}\)

    (B) \(\large q=2\sqrt{km}\)

    (C) \(\large q=\sqrt{\frac{2k}{m}}\)

    (D) \(\large q=2\sqrt{\frac{k}{m}}\)

    Answer

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  • 2. The rod AB, of length 1 m, shown in the figure is connected to two sliders at each end through pins. The sliders can slide along QP and QR. If the velocity VA of the slider at A is 2 m/s, the velocity of the midpoint of the rod at this instant is ___________ m/s.
    Figure

    Answer

    3. The system shown in the figure consists of block A of mass 5 kg connected to a spring through a massless rope passing over pulley B of radius r and mass 20 kg. The spring constant k is 1500 N/m. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ rad/s.

    Figure

    Answer

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