The figure shows a trolley of mass 20 kg that can move freely along a smooth fixed horizontal rail driven by a horizontal applied force, F. Pivoted to the trolley at A is a rigid link AB of mass 6 kg, length 1 m and inertia 0.5 kgm2 about the centre of gravity of the link that is located at the midpoint. The link is driven by a motor mounted on the trolley that applies an anticlockwise torque T to the link. When the link is at 30 to the vertical and the mechanism is undergoing the motion shown in the figure determine the magnitude of the reaction force acting on the link at point A in the x and y directions. Gravity can be assumed to be 10 m/s2. F Rail B Trolley T 30 A w = 2 rad/s a = 5 rad/s v = 2 m/s a = 3 m/s g