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Engineering Mechanics

Engineering Mechanics
The motion of a particle round a fixed axis is

Translatory as well as rotary
Translatory
Circular
Rotary

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Engineering Mechanics
The acceleration of a body sliding down an inclined surface is

g tanθ
None of these
g cosθ
g sinθ

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Engineering Mechanics
The C.G. of a solid hemisphere lies on the central radius 3r

At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base
At distance — from the plane base 3r

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Engineering Mechanics
The centre of gravity of a uniform lamina lies at

All of these
The bottom surface
The midpoint of its axis
The centre of heavy portion

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Engineering Mechanics
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

IP = IG - Ah2
IP = IG + Ah2
IP = IG / Ah2
IP = Ah2 / IG

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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.)

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

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