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Theory of Machine

Theory of Machine
In a pantograph, all the pairs are

Self-closed pairs
Spherical pairs
Sliding pairs
Turning pairs

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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 × QN
ω² × CO
ω² × NO
ω² × CN

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

3.0 mm
2.50 mm
2 mm
2.22 mm

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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

Clearance circle
Dedendum circle
Pitch circle
Addendum circle

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Theory of Machine
Klein's construction can be used when

Crank has uniform angular acceleration
Crank has non-uniform velocity
Crank has a uniform angular velocity
Crank has uniform angular velocity and angular acceleration

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Theory of Machine
In order to facilitate starting of locomotive in any position, the cranks of a locomotive with two cylinders, are placed at

45° to each other
120° to each other
90° to each other
180° to each other

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