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Theory of Machine

Theory of Machine
The periodic time of one oscillation for a simple pendulum is

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

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Theory of Machine
A combination of kinematic pairs, joined in such a way that the relative motion between the links is completely constrained, is called a

Mechanism
Structure
Kinematic chain
Inversion

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Theory of Machine
The Ackermann steering mechanism is preferred to the Davis type in automobiles because

The former is most rigid
The former is most economical
The former is having turning pair
The former is mathematically accurate

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Under damped
Without vibrations
Critically damped
Over-damped

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Theory of Machine
Which type of gearing is used in steering system of an automobile?

Rack and pinion
None of the listed here
Worm and wheel
Spiral gears

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

cotφ - cotα = c/b
tanφ + cotα = b/c
sinφ + sinα = b/c
cosφ - sinα = c/b

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