A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G.I₂

I₂/G²

G².I₂

I₂/G

G.I₂

I₂/G²

G².I₂

I₂/G

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Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. n/(n - 1)

ω²r. n/(n + 1)

ω²r. (n - 1)/n

ω²r. (n + 1)/n

ω²r. n/(n - 1)

ω²r. n/(n + 1)

ω²r. (n - 1)/n

ω²r. (n + 1)/n

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Theory of Machine
An imaginary circle which by pure rolling action, gives the same motion as the actual gear, is called

Addendum circle

Dedendum circle

Pitch circle

Clearance circle

Addendum circle

Dedendum circle

Pitch circle

Clearance circle

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Theory of Machine
Balancing of rotating and reciprocating parts of an engine is necessary when it runs at

Moderate speed

Highs peed

Any one of these

Slow speed

Moderate speed

Highs peed

Any one of these

Slow speed

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Theory of Machine
Two systems shall be dynamically equivalent when

G. of two coincides

The mass of two are same

M.I. of two about an axis through e.g. is equal

All of these

G. of two coincides

The mass of two are same

M.I. of two about an axis through e.g. is equal

All of these

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Theory of Machine
The primary 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 cosθ

m.ω².r sinθ

m.ω².r (sin 2θ/n)

m.ω².r (cos 2θ/n)

m.ω².r cosθ

m.ω².r sinθ

m.ω².r (sin 2θ/n)

m.ω².r (cos 2θ/n)

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Theory of Machine

Theory of Machine A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

Theory of Machine When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

Theory of Machine An imaginary circle which by pure rolling action, gives the same motion as the actual gear, is called

Theory of Machine Balancing of rotating and reciprocating parts of an engine is necessary when it runs at

Theory of Machine Two systems shall be dynamically equivalent when

Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

Theory of Machine
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

Theory of Machine
An imaginary circle which by pure rolling action, gives the same motion as the actual gear, is called

Theory of Machine
Balancing of rotating and reciprocating parts of an engine is necessary when it runs at

Theory of Machine
Two systems shall be dynamically equivalent when