-11 points 3.8 035 A mass of 1 slug, when attached to a spring, stretches it...
Q4. A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting att 0, an external force equal to f(t) is applied to the system. Given that the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity, solve the resulting initial value problem when (a) f(t) 0 (b) s) e sin 4t. Also determine the limit lim r()
6. Use the method of Laplace transforms to solve the problem. A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at 1 = 0, an external force equal to f(t) = 8 sin 41 applied to the system. Find the equation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity.
Use Laplace's method to solve A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Find the equation of motion if the mass is driven by an external force equal to f(t)...
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...
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 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...
(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?
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...