Consider a critically damped oscillator with equation of motion $d^{2} x / d t^{2} + 2 ? d x / d t + ?^{2} x = 0$ . Set it moving by giving it some initial velocity $v_{0}$ but keep the initial displacement to be zero $(x_{0} = 0)$ . This question requires you to enter your answer as symbols. Part A-Determine the time at which the displacement is maximum Note: You can type $?$ by typing lgamma Part B - What is the maximum displacement? Note: You can type $v_{0}$ as $v$ _ 0 in the solution box.

Question

Consider a critically damped oscillator with equation of motion

d^{2} x / d t^{2} + 2 ? d x / d t + ?^{2} x = 0

. Set it moving by giving it some initial velocity

v_{0}

but keep the initial displacement to be zero

(x_{0} = 0)

. This question requires you to enter your answer as symbols. Part A-Determine the time at which the displacement is maximum Note: You can type

?

by typing lgamma Part B - What is the maximum displacement? Note: You can type

v_{0}

as

v

_ 0 in the solution box.

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(Solved): Consider a critically damped oscillator with equation of motion d2x/dt2+2dx/dt+2x=0. Set it mov ...