Theory of Machine
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)

2π. √(g/δ)
1/2π. √(δ/g)
1/2π. √(g/δ)
2π. √(δ/g)

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Theory of Machine
A rotor which is balanced statically but not dynamically is supported on two bearings L apart and at high speed of the rotor, reaction on the left bearing is R. The right side of the bearing is shifted to a new position 2L apart from the left bearing. At the same rotor speed, dynamic reaction on the left bearing in the new arrangement will

Remain same as before
Become equal to 2R
Become equal to R/4
Become equal to R/2

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Theory of Machine
The steering of a ship means

None of these
Rolling of a complete ship sideways
Turning of a complete ship in a curve towards right or left, while it moves forward
Movement of a complete ship up and down in vertical plane about transverse axis

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