## 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
Critically damped
Without vibrations
Over-damped

## Theory of Machine Governor is used in automobile to

Limit the vehicle speed
Decrease the variation of speed
Maintain constant engine speed
Maximize the fuel economy

## Theory of Machine In an ideal machine, the output as compared to input is

Equal
Less
May be less or more depending on efficiency
More

## Theory of Machine The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

tanφ + cotα = b/c
sinφ + sinα = b/c
cosφ - sinα = c/b
cotφ - cotα = c/b

## Theory of Machine Which of the following is used to control the speed variations of the engine caused by the fluctuations of the engine turning moment?

D-slide valve
Governor
Meyer's expansion valve
Flywheel

Higher pair
Rolling pair
Sliding pair
Lower pair