For a particular spring, a 21lb object holds the spring in equilibrium at 3 feet. A 16 pound object is attached to this spring with friction (damping) constant 8 lb·s/ft. Assume the spring obeys Hook’s law.
(a) Does this system have a non-zero force function? Pick one: ⃝ YES ⃝ NO
(b) Write (and do NOT solve) the associated (spring/mass) equation of motion in an
answer box.

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For a particular spring, a 21lb object holds the spring in equilibrium at 3 feet. A...
An object weighing 16 lb streches a spring 3 in. The object is attached to a viscous damper with a damping constant of 2 lb-s/ft. If the object is set in motion from its equilibrium position by pulling it downward an additional 1 inch, find the position of the object at any time t.
6. A 32-pound object stretches a spring 8 feet to reach equilibrium. The object is then pulled to a point that is I foot below the equilibrium position and released from with an upward velocity of 6 feet per second Assume a damping force of 5. What is the position of the object when it attains its maximum displacement above the equilibrium position? Express your answer to 4 decimal places
5. (16) A box weighing 16 pounds is attached to a spring with spring constant 8 lb/ft. The box is initially released from a point 2 foot above the equilibrium position with an upward velocity of 3 ft/sec. (a) Set up the DE for this system. Do not solve the DE. Show your work. Write the equation in standard form. Write your answer in the box (b) Convert the initial conditions into mathematical equations. (0) '(0) = (c) Now suppose...
A force of 15 pounds stretches a spring by 3 feet. Assuming the spring exhibits a damping force numerically equivalent to its instantaneous velocity, determine the equation of motion if the spring is released from the equilibrium position with an upward velocity of 3 feet-per-second.
1. A 4 lb mass of weight stretch 2 feet a spring. If a damping force numerically equal to the instantaneous speed it acts on the counterweight, deducing the equation of motion if the mass is released 1 ft. per tenth of the equilibrium point with a velocity toward below 8 ft/s and also find the amplitude, period and vibration frequency of the movement. Indicate which case of damping occurs. Solve the problem by applying transform from Laplace
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...
5. (16) A box weighing 16 pounds is attached to a spring with spring constant 8 1b/ft. The book is initially released from a point 2 foot above the equilibrium position with an upward velocity of 3 ft/sec (a) Set up the DE for this system. Do not solve the DE. Show your work. Write the equation in standard form. Write your answer in the box NIP 32 -IN .+ 8x=0 • levo (b) Convert the initial conditions into mathematical...
A 128 lb weight is attached to a spring that has a spring constant of 64 lb/ft. The system is started into motion by displacing it 6 in above the equilibrium position and by simultaneously applying an external force of f(t) = 8 sin 4t. There are no damping forces. Find the equation of motion for these conditions. Find the period and frequency of the motion. Draw a graph of the solution.
Just question2(a) please. Thanks
2. An 10 kg object is hung from a spring attached to a fixed support. The spring constant of the spring is k = 40 N m-1. Suppose an external downward force of magnitude f(t) = 20e-2t N is applied to the object, and damping due to air resistance occurs with damping constant B = 40 N s m-1. Let y(t) denote the distance in metres of the object below its equilibrium position at time t...
A mass weighing 4 pounds is attached to a spring whose constant is 2 lb/ft. The medium 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 16 ft/s. (g = 32 ft/s2) a. Find the equation of motion. b. What type of motion is this? c. Determine the time at which the mass passes through the equilibrium position.