[2-25 pts) An 41b weight stretches a spring by 24 in. If the weight is pushed...
A mass weighting 3 lb stretches a spring 3 in. if the mass is pushed upward, contracting the spring a distance of 1 in, and then set in motion with a downward velocity of 2 ft/s, and if there is no damping. (1) determine the position u(t) of the mass at any time t. (2) Determine the frequency, period, amplitude, and phase of the motion. (3) Plot u(t), and find when does the mass first return to its equilibrium position?...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
2) A 2-pound weight attached to the end of a spring stretches it 6 inches. At t= 0 and from a position 8 inches below the equilibrium position the weight is given a upward velocity of 3/4 ft/s. a) Find the equation of motion. b) What are the amplitude and period of motion? c) How many complete vibrations will the weight have completed at the end of 6t? d) What is the position of the weight at t=5s with respect...
A 2 kg mass stretches a spring 1 meter. The mass is pushed upward, con- tracting the spring a distance of 0.2 meters, and then set in motion with an upward velocity of 5 m/s. There is no damping. (a) Solve the IVP. You may use that the acceleration due to gravity is g = 10 m/s2 (b) What is the frequency of the motion? It is not necessary to specify units. (c) Sketch the phase portrait for this system....
Please show all work! Thank you! P.S. 5.2 Q2 A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
A weight of 48 lb stretches a spring 4 ft. The weight is pulled down 2 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec ft/sec (Type an exact answer, using radicals as needed.)
a 4.00 lb weight stretches a certain spring 0.500 ft. With this weight attached, the spring is pulled 3.00 inches longer than its equilibrium length and released. Find the equation of the resulting motion, assuming no damping. y=?
Will Rate!! A weight of 64 lb stretches a spring 4 ft. The weight is pulled down 5 ft below the equilibrium position and then released. What initial velocity vo given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec Vo ft/sec (Type an exact answer, using radicals as needed.)
A 24-lb weight, attached to the end of the spring, stretches it 4 inches. Find the equation of motion if the weight is released from rest, from a point 3 inches above the equilibrium.
weighing 16 pounds stretches a spring 2 feet. At t 0 the mass is released from a point 2 feet ilibrium position with an upward velocity of 4 ft/s, determine the motion of the weighing 16 pounds stretches a spring 2 feet. At t 0 the mass is released from a point 2 feet ilibrium position with an upward velocity of 4 ft/s, determine the motion of the