When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) sinφ]/2

[(r² + R²) sinφ]/2

[(r² + R²) cosφ]/2

[(r + R) cosφ]/2

[(r + R) sinφ]/2

[(r² + R²) sinφ]/2

[(r² + R²) cosφ]/2

[(r + R) cosφ]/2

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Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Not possible to determine with these data

Perpendicular to line as per (A)

At 45° to line as per (A)

Joining the corresponding points

Not possible to determine with these data

Perpendicular to line as per (A)

At 45° to line as per (A)

Joining the corresponding points

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Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

Decreases

Increases

Remain unaffected

First increases and then decreases

Decreases

Increases

Remain unaffected

First increases and then decreases

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Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform pressure, is

(2/3). μ W cosecα (r₁ + r₂)

(1/2). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]

(2/3). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]

(1/2). μ W cosecα (r₁ + r₂)

(2/3). μ W cosecα (r₁ + r₂)

(1/2). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]

(2/3). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]

(1/2). μ W cosecα (r₁ + r₂)

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Theory of Machine
The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, and θ = Angle of inclination of crank to the line of stroke)

m.ω².r (cosθ - sinθ)

m.ω².r cosθ

(1 - c).m.ω².r (cosθ - sinθ)

m.ω².r sinθ

m.ω².r (cosθ - sinθ)

m.ω².r cosθ

(1 - c).m.ω².r (cosθ - sinθ)

m.ω².r sinθ

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Theory of Machine
A rotor which is balanced statically but not dynamically is supported on two bearings L apart and at high speed of the rotor, reaction on the left bearing is R. The right side of the bearing is shifted to a new position 2L apart from the left bearing. At the same rotor speed, dynamic reaction on the left bearing in the new arrangement will

Become equal to 2R

Remain same as before

Become equal to R/4

Become equal to R/2

Become equal to 2R

Remain same as before

Become equal to R/4

Become equal to R/2

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Theory of Machine

Theory of Machine The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Theory of Machine When the sleeve of a Porter governor moves downwards, the governor speed

Theory of Machine The frictional torque transmitted in a truncated conical pivot bearing, considering uniform pressure, is

Theory of Machine The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, and θ = Angle of inclination of crank to the line of stroke)

Theory of Machine
The velocity of any point in mechanism relative to any other point on the mechanism on velocity polygon is represented by the line

Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform pressure, is

Theory of Machine
The tractive force in a locomotive with two cylinders is given by (where c = Fraction of reciprocating parts per cylinder, m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, and θ = Angle of inclination of crank to the line of stroke)