A spring will be stretched 1 ft. by a pull of 3 5/8 lb. A 5...
A spring will be stretched 1 ft. by a pull of 3 5/8 lb. A 5 lb. weight is attached to the spring and it is arbitrarily set in motion. The coefficient of air resistance is 1/8. Find the frequency of the motion.
Homework Answers
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the sy...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
A 128 lb weight is attached to a spring that has a spring constant of 64...
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.
A 10 lb weight is attached to the end of a spring. The spring is stretched...
A 10 lb weight is attached to the end of a spring. The spring is stretched 6 in. Find the displacement from equilibrium of the weight after pi/8 seconds, if the weight is released from rest a point 6 inches above equilibrium position. Round to the nearest tenth of a foot.
A 20 lb weight is attached to the end of a spring. The spring is stretched...
A 20 lb weight is attached to the end of a spring. The spring is stretched 6 in. Find T/8 seconds, if the weight is the displacement from equilibrium of the weight after released from rest a point 2 inches above equilibrium position. Round to the nearest tenth of a foot. Your Answer:
Please show all work! Thank you! P.S. 5.2 Q2 A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the...
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
a-slug mass is hung onto a spring, whereupon the spring is stretched 6 in from its...
a-slug mass is hung onto a spring, whereupon the spring is stretched 6 in from its natural length. The mass is n started in motion from the equilibrium position with an initial velocity of 4 ft/sec in the upward direction. Find the subsequent motion of the mass, if the force due to air resistance is -2t lb.
a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length
a steel ball weighing 128 lb is suspended from a spring, whereupon the spring is stretched 2 ft from its natural length. the ball is started in motion with no initial velocity by displacing it 6 in above the equilibrium position. assuming no damping force, find an expression for a)the position of the ball at any time.b)the position of the bal at t=pai/12 secc)the circular frequency, natural frequency and period for this system
The weight W = 5 lb, the spring constant is k = 5 lb/ft, and the...
The weight W = 5 lb, the spring constant is k = 5 lb/ft, and the damping constant is c = 0.55 lb-s/fl The spring is unstretched when x = 0. The mass is displaced to the position x = 3 ft and released from rest. (a) What is the natural frequency and damping of the system? (b) If the damping is subcritical what is the frequency of the resulting damped vibrations?
a 4.00 lb weight stretches a certain spring 0.500 ft. With this weight attached, the spring...
a 4.00 lb weight stretches a certain spring 0.500 ft. With this weight attached, the spring is pulled 3.00 inches longer than its equilibrium length and released. Find the equation of the resulting motion, assuming no damping. y=?
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft....
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
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.
A 20 lb weight is attached to the end of a spring. The spring is stretched 6 in. Find T/8 seconds, if the weight is the displacement from equilibrium of the weight after released from rest a point 2 inches above equilibrium position. Round to the nearest tenth of a foot. Your Answer:
Please show all work! Thank you!
P.S. 5.2 Q2
A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...
a-slug mass is hung onto a spring, whereupon the spring is stretched 6 in from its natural length. The mass is n started in motion from the equilibrium position with an initial velocity of 4 ft/sec in the upward direction. Find the subsequent motion of the mass, if the force due to air resistance is -2t lb.
The weight W = 5 lb, the spring constant is k = 5 lb/ft, and the damping constant is c = 0.55 lb-s/fl The spring is unstretched when x = 0. The mass is displaced to the position x = 3 ft and released from rest. (a) What is the natural frequency and damping of the system? (b) If the damping is subcritical what is the frequency of the resulting damped vibrations?
3a. [10pts) A 32 lb weight is attached to a spring whose constant is 25 lb/ft. Initially the mass is released I ft below the equilibrium position with a downward velocity of 1 ft/sec. Find the equation of motion 3b. 10pts) Determine the equation of motion in part(a) if the surrounding medium offers a damping force numerically equal to 10 times the instantaneous velocity. 3c. [14pts) Determine the equation of motion in parts(a)-(b) if the weight is driven by an...
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