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Theory of Machine

Theory of Machine
The tendency of a body to resist change from rest or motion is known as

Mass
Friction
Inertia
Resisting force

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Theory of Machine
A single degree of freedom system is given by, m × (d²x/dt²) + c × (dx/dt) + sx = F.cosω.t with usual notations. It represents

Free vibration with damping
Forced vibration with damping
Free vibration without damping
Forced vibration without damping

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

More
May be less or more depending on efficiency
Equal
Less

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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/G
G².I₂
I₂/G²

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Theory of Machine
The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

(kG² + h²)/h²
(kG² + h²)/h
h/(kG² + h²)
h²/(kG² + h²)

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Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

m₁ m₂ = r₁ r₂
None of these
m₁ r₁ = m₂ r₂
m₁ r₂ = m₂ r₁

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