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)

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 (cos 2θ/n)

m.ω².r sinθ

m.ω².r (sin 2θ/n)

m.ω².r cosθ

m.ω².r (cos 2θ/n)

m.ω².r sinθ

m.ω².r (sin 2θ/n)

m.ω².r cosθ

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Theory of Machine
If ω/ωn is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

360°

90°

0°

180°

360°

90°

0°

180°

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω sinθ/(n² - cos²θ)1/2

ω cosθ/(n² - cos²θ)1/2

ω cosθ/(n² - sin²θ)1/2

ω sinθ/(n² - sin²θ)1/2

ω sinθ/(n² - cos²θ)1/2

ω cosθ/(n² - cos²θ)1/2

ω cosθ/(n² - sin²θ)1/2

ω sinθ/(n² - sin²θ)1/2

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Theory of Machine
In a cone pulley, if the sum of radii of the pulleys on the driving and driven shafts is constant, then

Both open belt drive and crossed belt drive is recommended

Crossed belt drive is recommended

Open belt drive is recommended

The drive is recommended depending upon the torque transmitted

Both open belt drive and crossed belt drive is recommended

Crossed belt drive is recommended

Open belt drive is recommended

The drive is recommended depending upon the torque transmitted

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Theory of Machine
A body is said to be under forced vibrations, when

None of these

No external force acts on a body, after giving it an initial displacement

There is a reduction in amplitude after every cycle of vibration

A body vibrates under the influence of external force

None of these

No external force acts on a body, after giving it an initial displacement

There is a reduction in amplitude after every cycle of vibration

A body vibrates under the influence of external force

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Theory of Machine
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)

I ω ωP

(1/2). I ω ωP

Iω²

(1/2).Iω²

I ω ωP

(1/2). I ω ωP

Iω²

(1/2).Iω²

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Theory of Machine

Theory of Machine If ω/ωn is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

Theory of Machine In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

Theory of Machine In a cone pulley, if the sum of radii of the pulleys on the driving and driven shafts is constant, then

Theory of Machine A body is said to be under forced vibrations, when

Theory of Machine A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)

Theory of Machine
If ω/ωn is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

Theory of Machine
In a cone pulley, if the sum of radii of the pulleys on the driving and driven shafts is constant, then

Theory of Machine
A body is said to be under forced vibrations, when

Theory of Machine
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)