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6. 2/8 polnts 1 Previous Answers My Notes Ask Your Teach A mass weighing 12 pounds stretches a sp...
01 /8 points l Previous Answers 11 5.1.005 stretches a spring 6 inches. The mass is initially rel...
differential equation
01 /8 points l Previous Answers 11 5.1.005 stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position 2 s. (Use g 32 ft/s' for the acceleration due to gravity.) (a) Find the position x of the mass at the times t π/12, m/8, π/6, π/4, and 9m/3 x(n/12) x(T/8) ft ft x(T/4) x(9m/32)- (b) What is the velocity of the mass when t3/16 s? ft ft/s...
DETAILS ZILLDIFFEQMODAP11 5.R.012, MY NOTES ASK YOUR TEACHER Amass weighing 12 pounds stretches a spring 2...
DETAILS ZILLDIFFEQMODAP11 5.R.012, MY NOTES ASK YOUR TEACHER Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Find the equation of motion. (b) What are the amplitude, period, and frequency of the simple harmonic mation? amplitude ft period frequency cydes/s (c) At what times does the mass...
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from...
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g 32 ft/s for the acceleration due to gravity.) (a) Find the equation of motion x(t) (b) what are the amplitude, period, and frequency of the simple harmonic motion? amplitude1.118 ft period frequency cycles/s (c) At what times does the mass return to the point 1 foot below...
en77ssignment-Res 7/8 points I Previous Answers ZilIDimEQModAp11 5 1.005 My Notes O Ask Yfour Teaches A...
en77ssignment-Res 7/8 points I Previous Answers ZilIDimEQModAp11 5 1.005 My Notes O Ask Yfour Teaches A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the times t-/12, /8, n/6 , /4, and 9m/32 s. (Use g32 ft/s2 for the acceleration due to gravity.) -0.375 x(/12) ft -0.75 ft x(n/8) 0.375 ft x(n/6) 0.75 ft...
A mass weighing 20 N stretches a spring 6 m. The mass is initially released from...
A mass weighing 20 N stretches a spring 6 m. The mass is initially released from rest from a point 8 m below the equilibrium position. (a) Find the position x of the mass at the times t = 7/12, 7/8, 1/6, 1/4, and 97/32 s. (Use g = 9.8 m/s2 for the acceleration due to gravity.) x(1/12) = 7.56 E * *(1/8) = 7.02 E * (1/6) = 6.29 E * x(/4) = 4.34 E * (97/32) = 3.47...
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is...
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is removed and replaced with a mass weighing 51.2 pounds, which is initially released from a point 4 inches above the equilibrium position with an downward velocity of ft/s. Find the equation of motion, ä(t). (g = 32 ft/s2) (7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that...
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a...
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a viscous damper with damping constant 3 lb-s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is...
A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 0.8 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position x(t) ft (b) Express the equation of motion in the form x(t) = Ae-At sin...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached to a viscous damper with damping constant 4lb-s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s” as the acceleration due to gravity. Pay close attention to the units. u(t) = in
A mass weighing 8 pounds stretches a spring 1 foot. The system is then immersed in...
A mass weighing 8 pounds stretches a spring 1 foot. The system is then immersed in a medium that offers a damping force numerically equal to 3 times the instantaneous velocity. The mass is initially released from the equilibrium position with a downward velocity of 4 ft/s. Find the spring constant ?, mass ? and the damping constant ? Find ? and ?, and the roots of the characteristic equation: Write the initial conditions: Estimate the time when the mass...
differential equation
01 /8 points l Previous Answers 11 5.1.005 stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position 2 s. (Use g 32 ft/s' for the acceleration due to gravity.) (a) Find the position x of the mass at the times t π/12, m/8, π/6, π/4, and 9m/3 x(n/12) x(T/8) ft ft x(T/4) x(9m/32)- (b) What is the velocity of the mass when t3/16 s? ft ft/s...
DETAILS ZILLDIFFEQMODAP11 5.R.012, MY NOTES ASK YOUR TEACHER Amass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) Find the equation of motion. (b) What are the amplitude, period, and frequency of the simple harmonic mation? amplitude ft period frequency cydes/s (c) At what times does the mass...
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below the equilibrium position with an upward velocity of 4 ft/s. (Use g 32 ft/s for the acceleration due to gravity.) (a) Find the equation of motion x(t) (b) what are the amplitude, period, and frequency of the simple harmonic motion? amplitude1.118 ft period frequency cycles/s (c) At what times does the mass return to the point 1 foot below...
en77ssignment-Res 7/8 points I Previous Answers ZilIDimEQModAp11 5 1.005 My Notes O Ask Yfour Teaches A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 9 inches below the equilibrium position. (a) Find the position x of the mass at the times t-/12, /8, n/6 , /4, and 9m/32 s. (Use g32 ft/s2 for the acceleration due to gravity.) -0.375 x(/12) ft -0.75 ft x(n/8) 0.375 ft x(n/6) 0.75 ft...
A mass weighing 20 N stretches a spring 6 m. The mass is initially released from rest from a point 8 m below the equilibrium position. (a) Find the position x of the mass at the times t = 7/12, 7/8, 1/6, 1/4, and 97/32 s. (Use g = 9.8 m/s2 for the acceleration due to gravity.) x(1/12) = 7.56 E * *(1/8) = 7.02 E * (1/6) = 6.29 E * x(/4) = 4.34 E * (97/32) = 3.47...
(7 points) 13. A mass weighing 10 pounds stretches a spring 3 inches. The mass is removed and replaced with a mass weighing 51.2 pounds, which is initially released from a point 4 inches above the equilibrium position with an downward velocity of ft/s. Find the equation of motion, ä(t). (g = 32 ft/s2) (7 points) 14. A mass weighing 4 pounds stretches a spring 2 feet. The system is submerged in a medium which offers a damping force that...
A mass weighing 11 lb stretches a spring 8 in. The mass is attached to a viscous damper with damping constant 3 lb-s/ft. The mass is pushed upward, contracting the spring a distance of 2 in, and then set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) =
A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 0.8 times the instantaneous velocity. (a) Find the equation of motion if the mass is initially released from rest from a point 1 foot above the equilibrium position x(t) ft (b) Express the equation of motion in the form x(t) = Ae-At sin...
< Pre A mass weighing 18 lb stretches a spring 6 in. The mass is attached to a viscous damper with damping constant 4lb-s/ft. The mass is pushed upward, contracting the spring a distance of 4 in, and then set into motion with a downward velocity of 5 in/s. Determine the position u of the mass at any time t. Use 32 ft/s” as the acceleration due to gravity. Pay close attention to the units. u(t) = in
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