A 4-kg mass is attached to a spring with a spring constant of 8 N/m. (a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequency f = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f = w/(2m). (b) Assume now that no damping is present in the system and that the system starts out at equilibrium and at rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system at time t = 2. Determine r(t), the position of the mass at time t.
A 4-kg mass is attached to a spring with a spring constant of 8 N/m. (a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequency f = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f = w/(2m). (b) Assume now that no damping is present in the system and that the system starts out at equilibrium and at rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system at time t = 2. Determine r(t), the position of the mass at time t.
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Transcribed Image Text:2. A 4-kg mass is attached to a spring with a spring constant of 8 N/m.
(a) Suppose that if the spring is stretched or compressed, the system undergoes oscillations with frequency
f = 0.15 Hz and with decreasing amplitude. Compute the damping constant c. Note that f=w/(2T).
(b) Assume now that no damping is present in the system and that the system starts out at equilibrium and
at rest. A driving force of F(t) = 4e-t acts on the system and a unit impulse is imparted upon the system at
time t = 2. Determine r(t), the position of the mass at time t.
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