A 20-kg mass i attached to a spring with stiffness 200 N/m. The mass is displaced. The damping constant for the system is 140 N-sec/m. If the mass is pulled 25 cm to the right of equilibrium and given initial leftward velocity of 1 m/sec, when will it first retum to its equilibrium position? (a) The IVP modeling the problem is given by: OA y"-y-12y=0; y(0)=:Y(0) = -1 OB. O C. O D. 1 y" + 7y + 10y=0; y(0) = y(0) = -1 y-6y-54y=0; y(0)= y(0) = -1 1 y" - 10y +25y=0; y(0) = y(0) = -1 OE. None of the given answers is correct (b) This problem is a case of: OA Overdamped Motion OB. Underdamped or Oscillatory Motion OC. Undamped Motion OD. Critically Damped Motion OE. None of the given answers is correct

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A 20-kg mass i attached to a spring with stiffness 200 N/m. The mass is displaced. The damping constant for the system is 140 N-sec/m. If the mass is pulled 25 cm to the right of equilibrium and given initial leftward
of 1 m/sec, when will it first retum to its equilibrium position?
velocity
(a) The IVP modeling the problem is given by:
OA
y"-y-12y=0; y(0)=
y(0)=-1
OB.
O C.
O D.
1
y" + 7y + 10y=0; y(0) = y(0) = -1
y-6y-54y=0; y(0) = y(0) = -1
1
y" - 10y + 25y=0; y(0) = y(0) = -1
OE. None of the given answers is correct
(b) This problem is a case of:
OA Overdamped Motion
OB. Underdamped or Oscillatory Motion
OC. Undamped Motion
OD. Critically Damped Motion
OE. None of the given answers is correct
Transcribed Image Text:A 20-kg mass i attached to a spring with stiffness 200 N/m. The mass is displaced. The damping constant for the system is 140 N-sec/m. If the mass is pulled 25 cm to the right of equilibrium and given initial leftward of 1 m/sec, when will it first retum to its equilibrium position? velocity (a) The IVP modeling the problem is given by: OA y"-y-12y=0; y(0)= y(0)=-1 OB. O C. O D. 1 y" + 7y + 10y=0; y(0) = y(0) = -1 y-6y-54y=0; y(0) = y(0) = -1 1 y" - 10y + 25y=0; y(0) = y(0) = -1 OE. None of the given answers is correct (b) This problem is a case of: OA Overdamped Motion OB. Underdamped or Oscillatory Motion OC. Undamped Motion OD. Critically Damped Motion OE. None of the given answers is correct
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