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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

16
12
32
25

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Theory of Machine
Which of the following has sliding motion?

Crank
Connecting rod
Crank pin
Cross-head

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Theory of Machine
In a screw jack, the effort required to lift the load W is given by (where α = Helix angle, and φ = Angle of friction)

P = W tan(φ - α)
P = W cos(α + φ)
P = W tan(α + φ)
P = W tan(α - φ)

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Theory of Machine
A Hartnell governor has its controlling force (Fc) given by Fc = ar + b, where r is the radius of rotation and a and b are constants. The governor becomes isochronous when

a is +ve and b is also +ve
a is +ve and b is -ve
a = 0 and b is +ve
a is +ve and b = 0

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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

12,000 r.p.m.
5,367 r.p.m.
6,000 r.p.m.
9,360 r.p.m.

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Theory of Machine
When the nature of contact between the elements of a pair is such that one element can turn about the other by screw threads, the pair is known as a

Sliding pair
Spherical pair
Turning pair
Screw pair

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