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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6 Hz
3 Hz
6π Hz
3π Hz

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂)r
ω₁.ω₂.r
(ω₁ - ω₂)2r
(ω₁ + ω₂)r

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Theory of Machine
The Whitworth quick return motion mechanism is formed in a slider crank chain when the

Coupler link is fixed
Smallest link is a fixed link
Longest link is a fixed link
Slider is a fixed link

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Theory of Machine
The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, and θ = Angle of inclination of crank to the line of stroke)

m.ω².r (cosθ - sinθ)
m.ω².r sinθ
m.ω².r cosθ
(1 - c).m.ω².r (cosθ - sinθ)

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Theory of Machine
Elements of pairs held together mechanically is known as

Open pair
Closed pair
Rolling pair
Mechanical pair

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Theory of Machine
Which of the following is an inversion of a single slider crank chain?

Pendulum pump
Oscillating cylinder engine
Rotary internal combustion engine
All of these

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