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Question 2 A beehive hangs from a branch of a tree. The tree branch is flex- ible, and behaves like a spring. The system can
Question 2 A beehive hangs from a branch of a tree. The tree branch is flex- ible, and behaves like a spring. The system can be modelled as a mass suspended from a spring. The mass of the beehive is 30kg. The branch acts as a spring with spring constant k = 720 N m Air resistance applies a damping force with damping constant B = 300 N s m . Assume the bechive moves only vertically (ie, ignore any horizontal movement). Let y() be the position of the bechive in metres below its equilibrium position, at time f seconds. The equation of motion of the system is 307" + 300y' + 720y =0 (t>0) (a) Find the general solution of the ODE
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