The lid of an industrial mixing vessel is held horizontally and can turn about a hinge. The weight of the lid produces a clockwise moment of 24 N m about the hinge. A filter unit of weight 180 N acts at a perpendicular distance of 0.20 m from the hinge and also produces a clockwise moment. A hydraulic actuator exerts a force at a perpendicular distance of 0.40 m from the hinge, producing an anticlockwise moment about the hinge. What force must the actuator exert to keep the lid in rotational equilibrium?
90 N90\ \mathrm{N}90 N
240 N240\ \mathrm{N}240 N
150 N150\ \mathrm{N}150 N
60 N60\ \mathrm{N}60 N