4. (15 pts) A mass weighing 8 pounds, attached to the end of a spring, stretches...
1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping force equal to 0.5 times the instantaneous velocity. Find the equation of motion if the mass is released from rest at a position 18 inches above the equilibrium. 1. A mass weighing 8 pounds is attached to a 4 foot long spring and stretches it to 8 feet long. The medium offers a damping...
(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...
1. 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 that is equal to 0.4 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. (Use the convention that displacements measured below the equilibrium position are positive.) (b)...
Problems 1 and 2 A mass weighing 3/4 slug, attached to the end of a spring whose constant 72 lb/ft. Initially the mass is released from rest from a point 3 inches above the equilibrium position. Find the equation of motion. Determine the equation of motion if the mass in problem 1 is Initially released from the equilibrium position with a downword velocity of 2ft/sec. Initially released from a point 6 inches below equilibrium with an upward velocity 2ft/sec.
a mass weighing 8 pounds when attached to a spring, stretches it 6 inches.the object is originally at rest and is released 6 inches below equilibrium find the equation of motion if the surronding medium offers a damping force that is numerically equal to 5 times the instantaneous velocity
a mass weighing 8 pounds when attached to a spring, stretches it 6 inches.the object is originally at rest and is released 6 inches below equilibrium find the equation of motion if the surronding medium offers a damping force that is numerically equal to 5 times the instantaneous velocity
A force of 4 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 0.4 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) = Aet...
(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 is numerically equal to the instantaneous velocity. The mass is initially released from a point 1 foot above the equilibrium position with a downward velocity of 8 ft/s. Find the equation of motion, ä(t). What type of damped motion is this system?
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...
This Is Math Differential Equation Please Show Your Work Clearly and Short. Thank You! 2. (7 pts) A mass weighing 20 pounds, attached to the end of a spring, stretches it 8 inches. Initially the mass is released from 3 inches above the equilibrium position with a downward velocity of 3 feet per second. Find the equation of motion. 2. (7 pts) A mass weighing 20 pounds, attached to the end of a spring, stretches it 8 inches. Initially the...