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QUESTION

A mass m=7.7 N/m. The mass moves through a viscous damping medium with a damping constant b=1.

A mass m=7.8 kg is attached to the end of a spring with a spring constant of k=17.7 N/m. The mass moves through a viscous damping medium with a damping constant b=1.8 kg/s giving a velocity dependent damping force Fdamp= -bv.The motion occurs in zero gravity so set the force of gravity to ZERO in your program. Also set the equilibrium position L0=0. The mass is initially motionless and displaced from equilibrium by a distance yinitial=0.2 m.What is the energy of the spring-mass system at the initial position of the mass? (the spring-mass system does not include the damping medium)Einitial= .354 J (this answer is correct)What is the energy of the spring-mass system when the mass first passes through the equilibrium position? (you may wish to include a logical test to help you find when this occurs)Efinal= _____ J (i can't solve this question)

, , , Motion equation can be written as:̈ ̇ ̈ ̇ Roots of the characteristics equation can be computed as: () ( ) Where and can be computed from initial conditions ( ) Hence, () ( At first time...
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