27 A rough circular cylinder of radius a is fixed with its axis horizontal. Two uniform rods AB and AC,each of weight W and length 4a are rigidly jointed together at A to enclose an angle of 60° and the rest on the cylinder in a plane perpendicular to the axis with A uppermost and vertically above the axis. The coefficient of friction at each contact is 3/4.A pull of magnitude P is applied at A in the plane ABC at an angle theta with the upward drawn vertical. If the rods are about to slip, show that p(3 cos theta + 4 sin theta) = 6W and find the magnitude and direction of the least possible pull.
22 сен 2023
