Question

Determine the equation of motion in matrix form using newton 2 law

Answer 1

helooo...

hers is ur solutuon...

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if a body of mass m moving at initial velocity u accelerates uniformly with an acceleration a for a time t..so that it's final velocity changes to v,. then....

initial momentum p1 = mu
final momentum p2= mv..
so that change in momentum = p2-p1 = mv- mu = m (v-u)...

according to the second law of motion
force = f directly proportional to change in momentum ÷ time...

force directly proportional to p2- p1÷ t
force proportional to m (v-u)÷t..
force directly proportional to ma..... [ v-u÷t] = acceleration....

force = kma...

the quantity k is a constant of proportionality. ..


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