1) When a mass of 3 kilograms is attached to a spring whose constant is 48...
1) When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 180e−4t cos(4t) is applied to the system. Find the equation of motion in the absence of damping.
x(t) =
2) Solve the given initial-value problem.
| d2x |
| dt2 |
+ 9x = 5 sin(3t),
x(0) = 6, x'(0) = 0
x(t) =
Homework Answers
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1) When a mass of 3 kilograms is attached to a spring whose
constant is 48...
When a 5 kg mass is attached to a spring whose constant is 45 N/m, it...
When a 5 kg mass is attached to a spring whose constant is 45 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) 30e-3t cos 4t 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?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m,...
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m,...
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it...
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at 1 = 0, a force equal to f(t) = 30e-7t 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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it...
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t 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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it...
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t 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?
Problem #7; when a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium posi...
Problem #7; when a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. cos 2t is applied to the system. In the absence of damping, Starting at t0, a force equal to f(t) = 18e (a) find the position of the mass when t= N. (b) what is the amplitude of vibrations after a very long time? Problem #7(a): -0.1875 Round your answer to 4 decimals. Problem #7(b):...
here is the question, please help me with this question When a 5 kg mass is...
here is the question, please help me with this question
When a 5 kg mass is attached to a spring whose constant is 180 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) = 20e cos 3t is applied to the system. In the absence of damping, -5t (a) find the position of the mass when t=1. (b) what is the amplitude of vibrations after a very long time?
Q4. A mass of 1 slug, when attached to a spring, stretches it 2 feet and...
Q4. A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting att 0, an external force equal to f(t) is applied to the system. Given that the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity, solve the resulting initial value problem when (a) f(t) 0 (b) s) e sin 4t. Also determine the limit lim r()
When a 5 kg mass is attached to a spring whose constant is 45 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) 30e-3t cos 4t 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?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at 1 = 0, a force equal to f(t) = 30e-7t 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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t 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?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t 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?
Problem #7; when a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. cos 2t is applied to the system. In the absence of damping, Starting at t0, a force equal to f(t) = 18e (a) find the position of the mass when t= N. (b) what is the amplitude of vibrations after a very long time? Problem #7(a): -0.1875 Round your answer to 4 decimals. Problem #7(b):...
here is the question, please help me with this question
When a 5 kg mass is attached to a spring whose constant is 180 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) = 20e cos 3t is applied to the system. In the absence of damping, -5t (a) find the position of the mass when t=1. (b) what is the amplitude of vibrations after a very long time?
Q4. A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting att 0, an external force equal to f(t) is applied to the system. Given that the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity, solve the resulting initial value problem when (a) f(t) 0 (b) s) e sin 4t. Also determine the limit lim r()
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