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A mass weighing 4 kg stretches a spring by 6 centimeters. The damping constant is c 0.S. External...
A mass weighing 4 kg stretches a spring by 6 centimeters. The damping constant is c-0.8 External ...
A mass weighing 4 kg stretches a spring by 6 centimeters. The damping constant is c-0.8 External vibrations create a force of FO 8 sin(50) kg. Find the steady-state solution and identify its amplitude and phase shift. 2,048 2,496 ゲー2.sas cos(5) + 2,545 sin(5) ゲー2.545 ゲisas cos(5) + 2.545 sin(5) ゲ2.545 2.048 cos(50- 2.545 2,496 2,545 sin(50 2,048 2,545 2,496 2.048 cos50- 2.545 2,545 A series circuit has an inductor of 1 henry, a resistor of 10 ohms and a...
Help Save & 8 3 atempts le Check my work A mass of 0.5 kg stretches a spring by 20 cm. The dampin...
Help Save & 8 3 atempts le Check my work A mass of 0.5 kg stretches a spring by 20 cm. The damping constant is c- 1. External a force of FO-.5 cos 6N. Find the steady state solution and identify its amplitude and phase shit. Report problem 10 Hint 12 31 313 12 13 Guided Solution 13 12 313s 313 sin or cos 6 12 13 "313 cs or 313 sin or Next> K Prev 8 of 10
Help...
21. A mass weighing 122.5 g stretches a spring by 7- F(f)-0.2e-2 N. The spring is...
21. A mass weighing 122.5 g stretches a spring by 7- F(f)-0.2e-2 N. The spring is set in motion from its equilibrium position with a downward velocity of I m/s. Find an equation for the position of the spring at any time t. A cm. The damping constant is c 0.4. External vibrations create a force of 32
21. A mass weighing 122.5 g stretches a spring by 7- F(f)-0.2e-2 N. The spring is set in motion from its equilibrium...
A mass weighing 9 lb stretches a spring 8 in. The mass is pulled down an...
A mass weighing 9 lb stretches a spring 8 in. The mass is pulled down an additional 7 in and is then set in motion with an initial upward velocity of 2 ft/s. No damping is applied. a. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = 5 cos (4 3 t) + sin(4V3 t) 2V3 b. Determine the period, amplitude...
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a...
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cost 3t lb, formulate and solve the initial value problem describing the mat of th
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a...
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cost 3t lb, formulate and solve the initial value problem describing the motion of the mass. (20 pts)
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the...
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
When a 4 kg mass is attached to a spring whose constant is 100 N/m, it...
When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) = 12e-3t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
3. < Previous Ne A mass weighing 9 lb stretches a spring 4 in. The mass...
3. < Previous Ne A mass weighing 9 lb stretches a spring 4 in. The mass is pulled down an additional 3 in and is then set in motion with an initial upward velocity of 6 ft/s. No damping is applied. a. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = ft b. Determine the period, amplitude and phase of the...
A spring is stretched 6 m by a mass that weighs 8 kg. The mass is...
A spring is stretched 6 m by a mass that weighs 8 kg. The mass is attached to a dashpot mechanism that has a damping constant of 0.25 Ns/m, and is acted on by an external force of 4 cos(2t) N. (a) Write down the IVP that describes the system. (b) Determine the steady-state response of this system (you may simply use the formula in the text and plug in the appropriate numerical coefficients). Note: You do not need to...
A mass weighing 4 kg stretches a spring by 6 centimeters. The damping constant is c-0.8 External vibrations create a force of FO 8 sin(50) kg. Find the steady-state solution and identify its amplitude and phase shift. 2,048 2,496 ゲー2.sas cos(5) + 2,545 sin(5) ゲー2.545 ゲisas cos(5) + 2.545 sin(5) ゲ2.545 2.048 cos(50- 2.545 2,496 2,545 sin(50 2,048 2,545 2,496 2.048 cos50- 2.545 2,545 A series circuit has an inductor of 1 henry, a resistor of 10 ohms and a...
Help Save & 8 3 atempts le Check my work A mass of 0.5 kg stretches a spring by 20 cm. The damping constant is c- 1. External a force of FO-.5 cos 6N. Find the steady state solution and identify its amplitude and phase shit. Report problem 10 Hint 12 31 313 12 13 Guided Solution 13 12 313s 313 sin or cos 6 12 13 "313 cs or 313 sin or Next> K Prev 8 of 10
Help...
21. A mass weighing 122.5 g stretches a spring by 7- F(f)-0.2e-2 N. The spring is set in motion from its equilibrium position with a downward velocity of I m/s. Find an equation for the position of the spring at any time t. A cm. The damping constant is c 0.4. External vibrations create a force of 32
21. A mass weighing 122.5 g stretches a spring by 7- F(f)-0.2e-2 N. The spring is set in motion from its equilibrium...
A mass weighing 9 lb stretches a spring 8 in. The mass is pulled down an additional 7 in and is then set in motion with an initial upward velocity of 2 ft/s. No damping is applied. a. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = 5 cos (4 3 t) + sin(4V3 t) 2V3 b. Determine the period, amplitude...
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cost 3t lb, formulate and solve the initial value problem describing the mat of th
4. A mass weighing 4 lb stretches a spring 1.5 in. The mass is given a positive displacement of 2 in from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cost 3t lb, formulate and solve the initial value problem describing the motion of the mass. (20 pts)
A mass weighing 4 pounds stretches a spring 6 inches. At time t = 0, the weight is then struck to set it into motion with an initial velocity of 2 ft/sec, directed downward. Determine the equations of motion for the position and the velocity of the weight. Find the amplitude, period, and frequency of the position (displacement). A 4-lb weight stretches a spring 1 ft. If the weight moves in a medium where the magnitude of the damping force...
When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) = 12e-3t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
3. < Previous Ne A mass weighing 9 lb stretches a spring 4 in. The mass is pulled down an additional 3 in and is then set in motion with an initial upward velocity of 6 ft/s. No damping is applied. a. Determine the position u of the mass at any time t. Use 32 ft/s as the acceleration due to gravity. Pay close attention to the units. u(t) = ft b. Determine the period, amplitude and phase of the...
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