A horizontal balance beam in a laboratory is supported by a central pivot. Two different calibration weights, Load X X\,X and Load YYY, are suspended on opposite sides of the pivot.
Both loads are initially suspended 1.8 m from the central pivot.
Calculate the clockwise and anti-clockwise moments acting around the pivot.
Clockwise moment = ...................................................... Nm\text{Nm}Nm
Anti-clockwise moment = ...................................................... Nm\text{Nm}Nm
Calculate the distance from the pivot at which Load XXX should be suspended to balance the beam, assuming Load Y Y\,Y remains at its original position of 1.8 m.
Distance = ...................................................... m\text{m}m
A driver presses a foot pedal, applying a horizontal force of 180 N to a piston inside a hydraulic cylinder containing brake fluid.
The cross-sectional area of the piston is 0.0015 m2.
(i) Calculate the pressure induced in the brake fluid.
Pressure = ...................................................... Pa\text{Pa}Pa
(ii) State the direction of the force exerted by the brake fluid on the piston.
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