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Theory of Machine

Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁
D₂/D₁
D₁/D₂
D₁.D₂

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Theory of Machine
The secondary unbalanced force is __________ the primary unbalanced force.

One-half
Two-third
1/n times
n times

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Theory of Machine
The velocity of sliding of meshing gear teeth is(Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁ × ω₂) y
(ω₁/ω₂) y
(ω₁ + ω₂) y
(ω₁ + ω₂)/y

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Theory of Machine
The maximum or minimum value of the swaying couple is

± 2a (1 - c) m.ω².r
± (a/√2) (1 - c) m.ω².r
± c.m.ω².r
± a (1 - c) m.ω².r

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Theory of Machine
In involute gears, the pressure angle is

Dependent on the size of teeth
Always variable
Always constant
Dependent on the size of gears

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Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

fn/2
4 fn
8 fn
2 fn

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