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) cosφ]/2

[(r² + R²) sinφ]/2

[(r + R) sinφ]/2

[(r + R) cosφ]/2

[(r² + R²) cosφ]/2

[(r² + R²) sinφ]/2

[(r + R) sinφ]/2

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Theory of Machine
The transmissibility, for all values of damping factor, will be less than unity, if ω/ωn is

Less than 2

Greater than 2

Equal to 1

Equal to 2

Less than 2

Greater than 2

Equal to 1

Equal to 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 √(r² - x²)

ω √(x² - r²)

ω² √(x² - r²)

ω² √(r² - x²)

ω √(r² - x²)

ω √(x² - r²)

ω² √(x² - r²)

ω² √(r² - x²)

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Theory of Machine
Klein's construction is useful to determine

Acceleration of various parts

Velocity of various parts

Angular acceleration of various parts

Displacement of various parts

Acceleration of various parts

Velocity of various parts

Angular acceleration of various parts

Displacement of various parts

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Theory of Machine
In gears, interference takes place when

The tip of a tooth of a mating gear digs into the portion between base and root circles

Gears do not move smoothly in the absence of lubrication

Pitch of the gears is not same

Gear teeth are undercut

The tip of a tooth of a mating gear digs into the portion between base and root circles

Gears do not move smoothly in the absence of lubrication

Pitch of the gears is not same

Gear teeth are undercut

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Theory of Machine
In an ideal machine, the output as compared to input is

Equal

Less

May be less or more depending on efficiency

More

Equal

Less

May be less or more depending on efficiency

More

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Theory of Machine

Theory of Machine The transmissibility, for all values of damping factor, will be less than unity, if ω/ωn is

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)

Theory of Machine Klein's construction is useful to determine

Theory of Machine In gears, interference takes place when

Theory of Machine In an ideal machine, the output as compared to input is

Theory of Machine
The transmissibility, for all values of damping factor, will be less than unity, if ω/ωn is

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)

Theory of Machine
Klein's construction is useful to determine

Theory of Machine
In gears, interference takes place when

Theory of Machine
In an ideal machine, the output as compared to input is