Theory of Machine
Which of the following is an example of sliding pair?

Lead screw of a lathe with nut
Piston and cylinder of a reciprocating steam engine
Ball and a socket joint
Shaft with collars at both ends fitted into a circular hole

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Theory of Machine
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

All of these
The sum of the two masses is equal to the total mass of body
The center of gravity of the two masses coincides with that of the body
The sum of mass moment of inertia of the masses about their center of gravity is equal to the mass moment of inertia of the body

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Theory of Machine
Two heavy rotating masses are connected by shafts of lengths l₁, l₂ and l₃ and the corresponding diameters are d₁, d₂ and d₃. This system is reduced to a torsionally equivalent system having uniform diameter d = d₁ of the shaft. The equivalent length of the shaft is

l = l₁ + l₂.(d₁/d₂)⁴ + l₃.(d₁/d₃)⁴
l = l₁ + l₂.(d₁/d₂)³ + l₂.(d₁/d₃)³
l₁ + l₂ + l₃
(l₁ + l₂ + l₃)/3

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Theory of Machine
Inertia force acts

Opposite to the direction of acceleration force
Perpendicular to the acceleration force
None of the listed here
Along the direction of acceleration force

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