Theory of Machine
Rectangular bar in a rectangular hole is the following type of pair

Completely constrained motion
Freely constrained motion
Incompletely constrained motion
Partially constrained motion

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Theory of Machine
Which of the following is false statement in respect of differences between machine and structure?

Efficiency of machines as well as structures is below 100 %
Machines transmit mechanical work, whereas structures transmit forces
Machines modify movement and work, whereas structures modify forces
In machines, relative motion exists between its members, whereas same does not exist in case of structures

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Theory of Machine
The static balancing is satisfactory for low speed rotors but with increasing speeds, dynamic balancing becomes necessary. This is because, the

Effects of unbalances are proportional to the square of the speed
Unbalanced couples are caused only at higher speeds
Effects of unbalances are directly proportional to the speed
Unbalanced forces are not dangerous at higher speeds

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Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of a cross 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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