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Theory of Machine

Theory of Machine
In a pantograph, all the pairs are

Spherical pairs
Turning pairs
Sliding pairs
Self-closed pairs

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Theory of Machine
The absolute acceleration of any point ‘P’ in a link about center of rotation ‘O’ is

At 45° to PO
Along PO
Perpendicular to PO
None of the listed here

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Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

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

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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)

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

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Theory of Machine
In an open pair, the two elements of a pair

Are kept in contact by the action of external forces, when in motion
Have a surface contact when in motion
Have a line or point contact when in motion
Are not held together mechanically

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Theory of Machine
Which of the following disciplines provides study of relative motion between the parts of a machine?

Mechanisms
Applied mechanics
Theory of machines
Kinematics

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