Question

CIE Alevel Further Mechanics

Answer 1

A cylindrical buoy, of length metres, is held at rest, with its lower plane face touching the surface of the water and is then released. After t seconds its lower plane face is at a depth x metres below the surface, its velocity is v ms^-1, with acceleration a ms^-2. The Upward force is proportional to x, the motion may be modelled by the equation

Answer 2

\[a=g(1-\frac{ k }{ l} x)\]

Answer 3

Where k =3

Answer 4

(a) Find v^2 in terms of x

Answer 5

(b) Find the value of x when v=0

Answer 6

(c) If the buoy is to be placed at a lower depth where it will remain in equilibrium, so what is x in this position?

Answer 7

(d) Prove that the buoy is performing SHM in the situation described in the stem of the questions

Answer 8

@Loser66