A mass weighing 16 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If themass is set in motion from its equilibrium position with a downward velocity of 4 in/s, find its position u at any time t. Assume theacceleration of gravity g = 32 ft/s².1'cos2 /31tV31-2ª cos2 31t +V311'sin2 /31tV31-2' sin2 /31tV311-"cos2/31t6/31U =11'cos2/31t +6/31sin2 /31t6V311'sin2 /31t6/31

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Answered: A mass weighing 16 lb stretches a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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1. An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly at t= 0 sec. Assume that the equation of motion after t-0 is given by 5400 v- dv = -8.276 v-2000 dx Where v= v(t) is the speed (m/sec) of the car at t. The left side represents Mv (dv/dx).The first term on the right side is the aerodynamics drag, \\\\\\\\\|\||\\\|||||| || lland the second term is the rolling resistance of the tires. Calculate how far the car travels until the speed reduces to 15 m/sec.(hint: the equation of motion may be integrated as 5400 v dv 30 = Jdx=x 8.276 v+2000 Evaluate the preceding equation using Simpson rule).
view Polices Current Attempt in Progress A mass weighing 16 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lb – s/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 6 in/s, find its position u at any time t. Assume the acceleration of gravity g = 32 ft/s?. 1 -21 e cos231t u = - V31 1 u = -21 cos2 /31t 4V31 1 -2t cos2 311 + 4V31 u = -2t 'sin231t V31 -2r 'sin231 4V31 u = cos2 V31 +- V31 sin231t u = - V31 1 -21 'sin2 31t V31 u = V earch 33°C Partly sunny
A spring is stretched (180mm) to the equilibrium position when attached to mass of 15 kg. If the object is initially displaced 110mm downward from its equilibrium position and given a velocity of 120mm/sec downward. Find the displacement at any time? Use g=9.81 m/sec?.
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