In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

Slightly less than 45 mm

Slightly more than 45 mm

95 mm

45 mm

Slightly less than 45 mm

Slightly more than 45 mm

95 mm

45 mm

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Theory of Machine
In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at ω rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by

ω² × CO

ω² × CN

ω² × QN

ω² × NO

ω² × CO

ω² × CN

ω² × QN

ω² × NO

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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 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

ω sinθ/(n² - cos²θ)1/2

ω cosθ/(n² - cos²θ)1/2

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Under damped

Without vibrations

Over-damped

Critically damped

Under damped

Without vibrations

Over-damped

Critically damped

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Theory of Machine
Pitch point on a cam is

Any point on pitch circle

The point on cam pitch curve having the minimum pressure angle

Any point on pitch curve

The point on cam pitch curve having the maximum pressure angle

Any point on pitch circle

The point on cam pitch curve having the minimum pressure angle

Any point on pitch curve

The point on cam pitch curve having the maximum pressure angle

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Theory of Machine
The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

90° and 180°

180° and 270°

270° and 360°

45° and 225°

90° and 180°

180° and 270°

270° and 360°

45° and 225°

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Theory of Machine

Theory of Machine In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

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 The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Theory of Machine Pitch point on a cam is

Theory of Machine The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The minimum length of the coupler will be

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
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Theory of Machine
Pitch point on a cam is

Theory of Machine
The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to