Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

8 fn
2 fn
4 fn
fn/2

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Theory of Machine
Kinematic pairs are those which have

Surface contact between the two elements when in motion
Elements of pairs not held together mechanically
Point or line contact between the two elements when in motion
Two elements that permit relative motion

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Theory of Machine
Which of the following statement is correct as regard to the difference between a machine and a structure?

The parts of a machine move relative to one another, whereas the members of a structure do not move relative to one another
The links of a machine may transmit both power and motion, whereas the members of a structure transmit forces only
All of these
A machine transforms the available energy into some useful work, whereas in a structure no energy is transformed into useful work

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