A-kg mass is attached to a spring with stiffness 25 N/m. The damping constant for the system is 4 N-sec/m. If the 15 55 mass is moved 8 m to the left of equilibrium and given an initial rightward velocity of m/sec, determine the equation of motion of the mass and give its damping factor, quasiperiod, and quasifrequency. What is the equation of motion? y(t) = 0 (Type an exact answer, using radicals as needed.)

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A spring mass system consists of a sping with spring constant k and an attached block of mass m is submerged in a liquid that produces a damping force Fr.  m=2kg Fr= 18 times the instaneous velocity of the center of mass of the block  k=36 n/m If the mass is initially released from rest 1 meter below equilibrium position  a. Give a 2nd degree equation that describe the motion of the center of mass of the attached block  b. Solve the equation in part a

When a 2-kilogram mass is attached to a spring whose spring constant is 32 N/m, it comes to rest in the equilibrium position. From t=0, a force equal to [img] is applied to the system. What is the equation of motion in the absence of damping?

A mass of 3kg stretches a spring 40cm. Suppose the mass is displaced an additional 12em in the positive (downward) direction and then ruleased. Suppose that the damping constant is 2N/m and assume g9.8 m/s is the gravitational accelaration. Set up a differential equation that describes this system. Let a to denote the displacement, in metern, of the mass from its equilbrium position, and give your answer in terms of z, , a". 3"+ 2 + 245r=0 b) Enter the intial conditions (0) 12 m. (0) o m/s is this wyotem under damped, over damped, or critically damped? under damped

The fixing element B receives a horizontal motion given by xB = bcos(wt). Derive the equation of motion for the mass and define the critical angular fre- quency we at which the oscillations of the mass become excessively large. What is the damping coefficient of the system? €1 wwwwww m €2 xg= b cos cot B