Question

If x=450 mm, determine the mass of the counterweight s required to balance a 90-kg load, l.

Answer 1

To balance the 90-kg load, a counterweight with a mass of 90 kg is required.

Step-by-step explanation:

To balance the system, the torque exerted by the 90-kg load, l, must be equal to the torque exerted by the counterweight, s. The torque is given by the product of the force and the lever arm. Since the distance from the fulcrum to the load is x=450 mm, the torque exerted by the load is (90 kg)(9.8 m/s^2)(0.45 m). To balance this torque, the counterweight must exert an equal torque but in the opposite direction. Therefore, the mass of the counterweight can be calculated using the equation:

torque load = torque counterweight
(90 kg)(9.8 m/s^2)(0.45 m) = mass counterweight(9.8 m/s^2)(0.45 m)

Simplifying and solving for the mass of the counterweight, we have:

mass counterweight = (90 kg)(0.45 m) / 0.45 m = 90 kg

Therefore, the mass of the counterweight required to balance the 90-kg load is 90 kg.

Answer 2

The platform scale consists of a combination of third and first class levers so that the load on one lever becomes the effort that moves the next lever.Through this arrangement, a small weight can balance a massive object. If x=450 mm,determine the required mass of the counterweight S required to balance a 90-kg load, l.