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
Over-damped
Critically damped

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of an open belt drive. The length of the belt is

π (r₁ - r₂) + (r₁ - r₂)²/x + 2x
π (r₁ + r₂) + (r₁ - r₂)²/x + 2x
π (r₁ - r₂) + (r₁ + r₂)²/x + 2x
π (r₁ + r₂) + (r₁ + r₂)²/x + 2x

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Theory of Machine
Angle of dwell of cam is defined as the angle

Of rotation of the cam for definite displacement of the follower
Through which the cam rotates during the period in which the follower remains in the highest position
Moved by the cam from the instant the follower begins to rise, till it reaches its highest position
During which the follower returns to its initial position

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Theory of Machine
In a hydrodynamic journal bearing, there is

A very thin film of lubricant between the journal and the bearing such that there is contact between the journal and the bearing
No lubricant between the journal and the bearing
A forced lubricant between the journal and the bearing
A thick film of lubricant between the journal and the bearing

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