A lever is 5m long. The distance from fulcrum to the weight to be lifted is 1m. If the worker pushes on the opposite end with 400N, what is the max weight that can be lifted?


I first must find torque so that I can plug it into the above equation.

200Nm =F_g(5m)

is this correct? Or would r=1m? Does the 1m in the question matter for this problem? Or is it just extra information?

  1. 👍 0
  2. 👎 0
  3. 👁 1,323
  1. No. The lever distance is from the point of force to the fulcrum. Here, it is 4 m (not five meters as you did).

    400*4=torque= W*1

    W= 1600N

    1. 👍 0
    2. 👎 0
  2. If you want to make it more simple !!, here's another answer.

    By newtons first law, the sum of all static forces at a balanced system is zero. Otherwise it will be moving...!!!

    Add all vertical forces:

    Here you have to consider a hidden force R form Reaction at support in opposite direction of forces (here at fulcrum acting upwards)
    W + 400 - R = 0
    R = W+400

    Add all Torques about any point within or outside the lever. Better choose the point of unknown force or fulcrum to make it simple, as in the previous answer. Distances are based on the point you select.

    Let's take about point of unknown force W:

    W*0 + 400*5 - R*1 = 0 ;
    R = 400*5

    plug in value of R from previous step:
    (W+400) = 400*5 ;
    W = 400*5 - 400 = 2000-400 = 1600 N

    quite simple OK. Now try with any other point.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person's weight, in pounds. Peter, who weighs 150 pounds, is sitting 3 feet away from the fulcrum. If Joey weighs 90 pounds,

  2. physics

    A simple lever is used to lift a heavy load. When a 60-N force pushes one end of the lever down 1.2 m, the load rises 0.2 m. Show that the weight of the load is 360 N.

  3. physics

    a lever is 5 m long. The distance from the fulcrum to the weight to be lifted is 1 m. If a 3000 N rock is to be lifted, how much force must be excerted on the lever?

  4. math

    Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted. Which expression represents the total number of

  1. physics

    An arrangement of two pulleys, as shown in the figure, is used to lift a 49.6-kg mass a distance of 3.70 m above the starting point. Assume the pulleys and rope are ideal and that all rope sections are essentially vertical. (a)

  2. Physics

    A 100N force acting on a lever 2m from the fulcrum balances an object 0.5m from the fulcrum on the other arm. What is the weight of the object(in newtons)?What is it's mass (in kg)?

  3. Algebra

    Two children balance on opposite ends of a seesaw. One child weighs 45 pounds and the other weighs 38 pounds. The distance between them is 10 feet. What is the distance of each child from the fulcrum (the center balance point of

  4. Physical Science

    Two objects were lifted by a machine. One object had a mas of 2 kilograms, and was lifted at a speed of 2 m/sec. The other had a mass of 4 kilogram was lifted at a rate of 3 m/sec. ------------------------------------------- a)

  1. Algebra 1

    The weight needed to balance a lever varies inversely with the distance from the fulcrum to the weight. A 120-lb weight is placed on a lever, 5 ft from the fulcrum. What amount of weight, in pounds, should be placed 8 ft from the

  2. theory of machine

    a differential band brake has a drum of diameter 800mm. the two ends of the band are fixed to the pins on the opposite sides of the fulcrum of the lever at a distance of a=40mm and b=200mm from the fulcrum. the angle of contact is

  3. Physics

    A weight of 15 N is located at a distance of 2.5 meters from the fulcrum of a simple lever. At what distance from the fulcrum should a weight of 20.0 N be placed on the opposite side of the fulcrum to balance the system?

  4. Physics

    A weight of 31 N is located a distance of 10.8 cm from the fulcrum of a simple balance beam. At what distance from the fulcrum should a weight of 17 N be placed on the opposite side in order to balance the system?

You can view more similar questions or ask a new question.