If F1 = 390 N force is applied to the piston with d1 = 4 cm diameter, what is the magnitude of the force F2 that can be resisted by the piston with d2 = 10 cm diameter? Neglect the weights of the pistons.

The input piston and output plunger of a hydraulic car lift are at the same level, as shown in the drawing. The cross-sectional area of the input piston is 12 cm2, while that of the output plunger is 1200 cm2. The force F1 applied to the input piston has a magnitude of 160 N. What is the weight W of the car? Neglect the weight of the piston and plunger

Q2/ The out - of - balance of a machine rotor is equivalent to 5 kg at 10 mm radius in one plane A, together with an equal mass at 15 mm radius in a second plane B. AB = 375 mm and the two radii are 120°. Find the mass required in third plane C at a radius of 125 mm and its angular position with respect to the given radii so that there is no resultant out - of - balance force. Find also the position of C along the axis for the residual couple to be a minimum and of this couple when the speed is 500 r.p.m.

Three hydraulic cylinders control the motion of the backhoe arm and bucket in the given figure. In the position shown, a 18.86-kN horizontal force is applied to the bucket at point L. Assuming the weight of the backhoe arm is negligible compared to forces acting on it, find the force acting on pin A (FA) in kN.