b) A 50.0 gm object connectedwith an amplitude of 4.0 cm on a frictionless, horizontal surface. Findi) the total energy of the system.ii) the speed of the object when its position is 1.0 cm.iii) kinetic energy and potential energy when its position is 3.0 cm.a) What are forced vibrations? Examine the effect of a periodic force on the motion of adamped oscillator.2.b) The amplitude b of forced vibration in a mechanical system is given byfo[(m-@?)² + 4r²ozShow that fori) o<< @o, the response is independent of the mass,ii) for o = Oo, the amplitude at resonance depends inversely on the damping constantr andim) for o >> 0o, the response is independent of the spring constant of the system.1| M-7535417203.a) With the appropriate diagram, explain the working of a Michelson's interferometer andderive the expression for bright and dark fringes.b) In Michelson's interferometer a thin plate is introduced in the path of one of the beamsand it is found that 50 band crosses the line of observation. If the wavelength of lightused in 5896Å and u= 1.35, determine the thickness of the plate.4.a) Explain the Einstein's theory of matter radiation interaction and derive the relationshipbetween the ratio's of Einstein's coefficients.b) Write a short note on the possibility of amplification on the basis of Einstein's theory.5.a) State Schrodinger's wave equation for a free particle in one dimensional closed boxwith infinitely hard walls. State the appropriate boundary conditions and solve it toobtain the energy eigen values and normalized wave function for the particle.b) What is the probability of locating a particle of mass m between x =0 and x = L/2 in a1-D box of length L? Assume the particle is in n=1 energy state.6.a) State and prove Heisenhern Ln

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Answered: a) What are forced vibrations? Examine…

Engineering

Civil Engineering

a) What are forced vibrations? Examine the effect of a periodic force on the motion of a damped oscillator. 2.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The equilibrium position of the undamped system shown below is disturbedby applying and then releasing a vertical force. Calculate the time required tocomplete 10 cycles of free vibration. Take stiffness of each spring as 1000 lb/ft
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