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Theory of Machine

Theory of Machine
The example of higher pair is

Gears, cams
Belt, rope and chain drives
All of these
Ball and roller bearings

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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
Bifilar suspension method is used to find the

Frequency of vibration of the body
Periodic time of the body
Angular acceleration of the body
Moment of inertia of the body

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Theory of Machine
A body of weight W is required to move up the rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tan φ = Coefficient of friction between the plane and the body)

P = W (cos α + μ sin α)
P = W (sin α + μ cos α)
P = W tan α
P = W tan (α + φ)

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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

8 fn
2 fn
4 fn
fn/2

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω √(x² - r²)
ω² √(r² - x²)
ω² √(x² - r²)
ω √(r² - x²)

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