Find the motion of the mass-spring system in Fig. 72 with mass 0.125 kg, damping 0, spring constant 1.125 kg/sec2, and driving force cos t – 4 sin t nt, ass- uming zero initial displacement and velocity. For what frequency of the driving force would you get resonance? Spring т |Mass Dashpot Fig. 72. Mass-spring system

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Q: (a) A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled down an additional 3 in and…

A: Consider the provided question, A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled…

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A: Solution :

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Q: 2. A particle moves along the space curve r = et cos ti + et sin tj+e-k. Find the magnitude of the…

A: This question is based on chain rule differentiation. ddxfxgx=gxddxf(x) + f(x)ddxg(x)

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Q: 4. The position of a particle at time t is given by x(t) = 5+4 sin(t) y(t) = 2 − 4 cos(t) 0<t</ (a)…

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Q: 1) Given the velocity and initial position of a body moving along a coordinate line at time t, find…

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Q: 3. Find the position and velocity of the particle if its acceleration is a(t)=-cos(t)i – sin(t)j…

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Q: A certain vibrating system satisfies the equation u" + yu' + u = 0. Find the value of the damping…

A: Gamma=1.637

Q: [25] An undamped spring-mass system has a mass that weighs 48 lb and a spring constant 0.5 lb/in.…

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Q: Find the motion of the mass-spring system in Fig. 72 with mass 0.125 kg, damping 0, spring constant…

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Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a…

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Q: consider a spring-mass system driven by an external force governed by : 2u'' + 3u'+4u=cos(wt)…

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Q: Q1. Consider a spring mass system given in Fig 1 with mass of 1kg attached to a spring with K=10.…

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Q: A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given…

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Q: 5. A 500-g object is attached to a spring having a spring constant of 6 N/m and come to rest. The…

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Q: A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a…

A: Given information is weight  w = 5 lb And, mass m =wg =532  lb s2/ ft k= Fs 14 = 514 =20  lb/ft As,…

Q: A certain vibrating system satisfies the equation u" + yu' +u = 0. Find the value of the damping…

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