en77ssignment-Res 7/8 points I Previous Answers ZilIDimEQModAp11 5 1.005 My Notes O Ask Yfour Teaches A...
6. 2/8 polnts 1 Previous Answers My Notes Ask Your Teach A mass weighing 12 pounds stretches a spring 6 inches. The mass is initally released from rest from a point 2 nches below the equilibrium position. g 32 ft/s for the acceleration due to gravity.) below the equilibrium position. (Use (a) Find the position of the mass at the times t-π/12, t/8, π/6, T/4, and 9,32 s. 12 t s ft ft 5 ft 97I ft (b) What is...
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...
(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...
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 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...
4. (15 pts) A mass weighing 8 pounds, attached to the end of a spring, stretches it 6 inches. Initially, the mass is released from a point 2 inches above the equilibrium position. Find the equation of motion.
2. (24 pts) A 4-foot spring measures 6 feet long after a mass weighing 8 pounds is attached to it. The medium through which the mass moves offers a damping force numerically equal to 1.5 times the instantaneous velocity. If the mass is initially released from the equilibrium position with a downward velocity of 7 ft/s. (Use g = 32 ft/s2 for the acceleration due to gravity.) (a) (8 pts) Find the equation of motion. (b) (6 pts) Find the...
In problems 14-17, set up the spring mass equation. Determine whether it is undamped, under, critically or overdamped. Solve the IVP and draw a graph (technology is cool) of the solution on the interval 0 < t < 12. If the system Is underdamped convert the solution to the form Re^alpha t sin(beta t + delta) A mass weighing 64 pounds stretches a spring 0.32 foot. The mass is initially released from a point 8 inches above the equilibrium position...
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) =
3. < Previous Ne A mass weighing 9 lb stretches a spring 4 in. The mass is pulled down an additional 3 in and is then set in motion with an initial upward velocity of 6 ft/s. No damping is applied. a. 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) = ft b. Determine the period, amplitude and phase of the...