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Theory of Machine

Theory of Machine
The velocity of the belt for maximum power is (where m = Mass of the belt in kg per meter length)

√(3m/T)
T/3
√(T/3m)
(T.g)/3

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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
44082
30195
44090

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Theory of Machine
The Bifilar suspension method is used to determine

Moment of inertia
Position of balancing weights
Centripetal acceleration
Natural frequency of vibration

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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 × NO
ω² × CN
ω² × QN

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Theory of Machine
A slider crank chain consists of following numbers of turning and sliding pairs

4, 0
2, 2
3, 1
1, 3

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Theory of Machine
The balancing weights are introduced in planes parallel to the plane of rotation of the disturbing mass. To obtain complete dynamic balance, the minimum number of balancing weights to be introduced in different planes is

1
4
3
2

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