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10 Nov 2019
Trying to solve this Differential equations problem:
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to f(t) = sin(4t) is applied to the system. The surrounding medium offers a damping force numerically equal to 8 times the instantaneous velocity. The equation of motion satisfies the initial-value problem
x'' + 8x' + 16x = sin(4t), x(0) = 0, x'(0) = 0. Find the equation of motion.
Trying to solve this Differential equations problem:
A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to f(t) = sin(4t) is applied to the system. The surrounding medium offers a damping force numerically equal to 8 times the instantaneous velocity. The equation of motion satisfies the initial-value problem
x'' + 8x' + 16x = sin(4t), x(0) = 0, x'(0) = 0. Find the equation of motion.
Jarrod RobelLv2
16 Apr 2019
