The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂) 2r

ω₁.ω₂.r

(ω₁ - ω₂) r

(ω₁ + ω₂) r

(ω₁ - ω₂) 2r

ω₁.ω₂.r

(ω₁ - ω₂) r

(ω₁ + ω₂) r

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.4985/ √δS

0.571/ √δS

0.6253/ √δS

0.5615/ √δS

0.4985/ √δS

0.571/ √δS

0.6253/ √δS

0.5615/ √δS

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Theory of Machine
A motor car moving at a certain speed takes a left turn in a curved path. If the engine rotates in the same direction as that of wheels, men due to centrifugal force

The reaction on the rear wheels increases and on the front wheels decreases

The reaction on the outer wheels increases and on the inner wheels decreases

The reaction on the front wheels increases and on the rear wheels decreases

The reaction on me inner wheels increases and on the outer wheels decreases

The reaction on the rear wheels increases and on the front wheels decreases

The reaction on the outer wheels increases and on the inner wheels decreases

The reaction on the front wheels increases and on the rear wheels decreases

The reaction on me inner wheels increases and on the outer wheels decreases

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Theory of Machine
The equation of motion for a single degree of freedom system with viscous damping is 4(dx²/dt²) + 9(dx/dt) + 16x. The damping ratio of the system is

9/128

30195

44090

44082

9/128

30195

44090

44082

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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

6,000 r.p.m.

5,367 r.p.m.

9,360 r.p.m.

12,000 r.p.m.

6,000 r.p.m.

5,367 r.p.m.

9,360 r.p.m.

12,000 r.p.m.

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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

G².I₂

I₂/G

G.I₂

I₂/G²

G².I₂

I₂/G

G.I₂

I₂/G²

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Theory of Machine

Theory of Machine The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

Theory of Machine A motor car moving at a certain speed takes a left turn in a curved path. If the engine rotates in the same direction as that of wheels, men due to centrifugal force

Theory of Machine The equation of motion for a single degree of freedom system with viscous damping is 4(dx²/dt²) + 9(dx/dt) + 16x. The damping ratio of the system is

Theory of Machine A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

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
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

Theory of Machine
A motor car moving at a certain speed takes a left turn in a curved path. If the engine rotates in the same direction as that of wheels, men due to centrifugal force

Theory of Machine
The equation of motion for a single degree of freedom system with viscous damping is 4(dx²/dt²) + 9(dx/dt) + 16x. The damping ratio of the system is

Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

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