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Mechanical Engineering :: Engineering Mechanics

  1. One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by(where δ = Deflection of the spring.)

  2. A.

    \(2n\sqrt\frac { g } { \delta }\)

    B.

    \(\frac { 1 }{2n}\sqrt\frac { g } { \delta }\)

    C.

    \(2n\sqrt\frac { \delta } { g}\)

    D.

    \(\frac {1}{2n}\sqrt\frac {\delta} {g}\)


  3. The angle of inclination with the vertical is __________ if the cyclist is running at a faster speed than that when he is running at a slower speed.

  4. A.

    more

    B.

    less


  5. The range of projectile(R) on an upward inclined plane is

  6. A.

    \(\frac { gcos^2\beta } { 2u^2sin(\alpha + \beta)cos\alpha} \)

    B.

    \(\frac { 2u^2sin(\alpha + \beta)cos\alpha} { gcos^2\beta } \)

    C.

    \(\frac { gcos^2\beta } { 2u^2sin(\alpha - \beta)cos\alpha} \)

    D.

    \(\frac { 2u^2sin(\alpha - \beta)cos\alpha} { gcos^2\beta } \)


  7. The centre of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)

  8. A.

    h/2

    B.

    h/3

    C.

    h/4

    D.

    h/6


  9. In actual machines, mechanical advantage is __________ velocity ratio.

  10. A.

    equal to

    B.

    less than

    C.

    greater than