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Theory of Machine

Theory of Machine
The minimum force required to slide a body of weight W on a rough horizontal plane is

W cosθ
W cosecθ
W sinθ
W tanθ

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Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Are in phase
Lags by 90°
Leads by 180°
Leads by 90°

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Theory of Machine
The tendency of a body to resist change from rest or motion is known as

Mass
Inertia
Resisting force
Friction

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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

12,000 r.p.m.
9,360 r.p.m.
5,367 r.p.m.
6,000 r.p.m.

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Theory of Machine
When a point moves along a straight line, its acceleration will have

Radial component only
Coriolis component only
Tangential component only
Radial and tangential components both

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω √(r² - x²)
ω² √(r² - x²)
ω² √(x² - r²)
ω √(x² - r²)

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