Q3. a) Find the particular solution for the damped mass and spring model described by the following differential equatio
Posted: Mon May 09, 2022 10:57 am
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Q3. a) Find the particular solution for the damped mass and spring model described by the following differential equation: dax dx +8 + 65x = 265.2e-1.5t dt dt2 If x(0) = 13.7 and f(0) = -0.1 (22 marks) b) x(t) will approach 0 as t increases. At what t, correct to 2 significant figures, will x(t) drop below 0.01? (3 marks) 3
Q3. a) Find the particular solution for the damped mass and spring model described by the following differential equation: dax dx +8 + 65x = 265.2e-1.5t dt dt2 If x(0) = 13.7 and f(0) = -0.1 (22 marks) b) x(t) will approach 0 as t increases. At what t, correct to 2 significant figures, will x(t) drop below 0.01? (3 marks) 3