A mass spring damper system is governed by x¨(t)+x(t)x˙(t)+x(t)=f(t)𝑥¨(𝑡)+𝑥(𝑡)𝑥˙(𝑡)+𝑥(𝑡)=𝑓(𝑡). This system is nonlinear linear time varying non-causal

Which of the following statement(s) is/are true about harmonically excited forcedvibration of a single degree-of-freedom linear spring-mass-damper system?(A) The total response of the mass is a combination of free vibration transient andsteady-state response.(B) The free vibration transient dies out with time for each of the three possibleconditions of damping (under-damped, critically damped, and over-damped).(C) The steady-state periodic response is dependent on the initial conditions at thetime of application of external forcing.(D) The rate of decay of free vibration transient response depends on the mass, springstiffness and damping constant.Q.26 Which of the following statement(s) is/are true about the state of stress in a plane?(A) Maximum or major principal stress is algebraically the largest direct stress at apoint.(B) The magnitude of minor principal stress cannot be greater than the magnitude ofmajor principal stress.(C) The planes of maximum shear stress are inclined at 90 degrees to the principalaxes.(D) The normal stresses along the planes of maximum shear stress are equal.

For an over-damped system, the damping factor is2 pointsζ=0ζ>1ζ=1ζ<1

Shock absorbers dampen and control spring motion.TrueFalse

A system that provides the same output for the same input irrespective of when the input is provided is called as time varying linear time invariant nonlinear

Damped harmonic motion – over-damped, critically damped and lightly damped oscillators; energydecay in a damped harmonic oscillator, logarithmic excrement.