Engineering Mechanics
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

2π. √(gh/kG² + h²)
1/2π. √(kG² + h²/gh)
2π. √(kG² + h²/gh)
1/2π. √(gh/kG² + h²)

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Engineering Mechanics
The term 'Centroid' is

The point of suspension
The same as centre of gravity
None of the listed here
The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis

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Engineering Mechanics
A lead ball with a certain velocity is made to strike a wall, it falls down, but rubber ball of same mass and with same velocity strikes the same wall, it rebounds. Select the correct reason from the following:

The change in momentum suffered by rubber ball is less than the lead ball
None of these
The change in momentum suffered by rubber ball is more than the lead ball
Both the balls undergo an equal change in momentum

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Engineering Mechanics
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

y = (gx²/2u² cos²α) - x. tanα
y = (gx²/2u² cos²α) + x. tanα
y = x. tanα - (gx²/2u² cos²α)
y = x. tanα + (gx²/2u² cos²α)

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