A force of 720 newtons stretches a spring 3 meters. A mass of 60 kilograms is...
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force of 720 newtons stretches a spring 3 meters. A mass of 60
kilograms is...
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...
1. A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds...
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)...
me are modeled by the differential equation, 1) (0) Recall that spring mass systems are mos...
me are modeled by the differential equation, 1) (0) Recall that spring mass systems are mos ky FD A force of 180 newtons stretches a spring constant of 360N A mass of so kilograms spring and is initially released from resta equilibrium point. The motion is undamped es a spring 0.5 meters, which gives a spring 0 kilograms is attached to the end of the od from rest at a point 0.25 meters above the undamped Set up an initial...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
A force of 4 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is...
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 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...
(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 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous vel...
A 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous velocity (in m/s). The mass is started in motion from the equilibrium position with an initial velocity of 1 m/s in the upward direction and with an applied external force F(t) 365 cos(3t) Newtons downwards. The displacement of the mass below the equilibrium position at...
Problems 1 and 2 A mass weighing 3/4 slug, attached to the end of a spring...
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.
4. (15 pts) A mass weighing 8 pounds, attached to the end of a spring, stretches...
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.
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...
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)...
me are modeled by the differential equation, 1) (0) Recall that spring mass systems are mos ky FD A force of 180 newtons stretches a spring constant of 360N A mass of so kilograms spring and is initially released from resta equilibrium point. The motion is undamped es a spring 0.5 meters, which gives a spring 0 kilograms is attached to the end of the od from rest at a point 0.25 meters above the undamped Set up an initial...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
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 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) 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 5 kilogram mass suspended from the end of a vertical spring stretches it by 1.225 metres. The system is placed in a medium offering a resistance (in Newtons) equal to 45 times the instantaneous velocity (in m/s). The mass is started in motion from the equilibrium position with an initial velocity of 1 m/s in the upward direction and with an applied external force F(t) 365 cos(3t) Newtons downwards. The displacement of the mass below the equilibrium position at...
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.
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.
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