Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock...
Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot.
1. Assume no damping and determine the period of oscillation of the vertical motion of the car.
2. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle. What were the initial conditions?
3. Now assume that oil is added to each the four shock absorbers so that, together, they produce an effective damping force of - 6.93 Ib-sec/ft times the vertical velocity of the car body. Find the displacement y(t) from equilibrium if y(0)=0 ft and y'(0)=-10 ft/sec.
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Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock...
Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock ab...
1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec22. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle....
1-/7 points 1. Suppose that a car weighing 2000 pounds is supported by four shock absorbers...
1-/7 points 1. Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g- 32 ft/sec2 25000.32 2. After 10 seconds the car body is 1 foot above its equilibrium position and at the...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2 Ib/ft. The system is subjected to 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. (a) Establish the initial-value problem which governs this motion. (b) Solve this initial-value problem. (c) Find the time at which the mass attains its extreme displacement...
5. (16) A box weighing 16 pounds is attached to a spring with spring constant 8...
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...
5. (16) A box weighing 16 pounds is attached to a spring with spring constant 8...
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...
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 4...
Please answer 3-34 and 3-35. Please provide all steps so I can
follow along.
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 45 N/m is less than critically damped. When the mass is givén an initial displacement and released from rest, the overshoot (the displacement attained past the equilibrium position) is 25% Determine the dam ping factor and the damping constant. 3-31. A mass-spring system is critically damped....
1-/7 points 1. Suppose that a car weighing 2000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6250 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 25000 lbs/foot. 1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g- 32 ft/sec2 25000.32 2. After 10 seconds the car body is 1 foot above its equilibrium position and at the...
2. A mass weighing 4 pounds is attached to a spring whose spring constant is 2 Ib/ft. The system is subjected to 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. (a) Establish the initial-value problem which governs this motion. (b) Solve this initial-value problem. (c) Find the time at which the mass attains its extreme displacement...
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...
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...
Please answer 3-34 and 3-35. Please provide all steps so I can
follow along.
PROBLEMS 89 3-30. A system composed of a mass of S kg and an elastic member having a modulus of 45 N/m is less than critically damped. When the mass is givén an initial displacement and released from rest, the overshoot (the displacement attained past the equilibrium position) is 25% Determine the dam ping factor and the damping constant. 3-31. A mass-spring system is critically damped....
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