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) cosφ]/2

[(r² + R²) sinφ]/2

[(r² + R²) cosφ]/2

[(r + R) sinφ]/2

[(r + R) cosφ]/2

[(r² + R²) sinφ]/2

[(r² + R²) cosφ]/2

[(r + R) sinφ]/2

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Theory of Machine
An exact straight line motion mechanism is a

Hart's mechanism

Scott-Russell's mechanism

All of these

Peaucellier's mechanism

Hart's mechanism

Scott-Russell's mechanism

All of these

Peaucellier's mechanism

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Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - cosθ)

R (1 - sinθ)

(R - r₁) (1 - sinθ)

R (1 - cosθ)

(R - r₁) (1 - cosθ)

R (1 - sinθ)

(R - r₁) (1 - sinθ)

R (1 - cosθ)

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Theory of Machine
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r (cos 2θ/n)

m.ω².r (sin 2θ/n)

m.ω².r sinθ

m.ω².r cosθ

m.ω².r (cos 2θ/n)

m.ω².r (sin 2θ/n)

m.ω².r sinθ

m.ω².r cosθ

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Theory of Machine
Instantaneous center of rotation of a link in a four bar mechanism lies on

Right side pivot of this link

Can’t occur

Left side pivot of this link

A point obtained by intersection on extending adjoining links

Right side pivot of this link

Can’t occur

Left side pivot of this link

A point obtained by intersection on extending adjoining links

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Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ

cosecφ

sinφ

secφ

cosφ

cosecφ

sinφ

secφ

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Theory of Machine

Theory of Machine An exact straight line motion mechanism is a

Theory of Machine The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

Theory of Machine Instantaneous center of rotation of a link in a four bar mechanism lies on

Theory of Machine For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

Theory of Machine
An exact straight line motion mechanism is a

Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

Theory of Machine
Instantaneous center of rotation of a link in a four bar mechanism lies on

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to