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Theory of Machine

Theory of Machine
In a rigid link OA, velocity of 'A' w.r.t. 'O' will be

At 45° to OA
Along AO
Perpendicular to OA
Parallel to OA

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Theory of Machine
Longitudinal vibrations are said to occur when the particles of a body moves

Perpendicular to its axis
None of these
Parallel to its axis
In a circle about its axis

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Theory of Machine
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

tp /16
tp /4
4 tp
16 tp

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Theory of Machine
The essential condition of placing the two masses, so that the system becomes dynamically equivalent, is (where l₁ and l₂ = Distance of two masses from the centre of gravity of the body, and kG = Radius of gyration of the body)

l₁l₂ = kG
l₁ = kG
l₂ = kG
l₁l₂ = kG²

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

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Theory of Machine
A rigid body possesses ________degrees of freedom

Four
Six
Two
One

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