a 500 N person stands on a uniform board of weight 100 N and length 8 m. the board is supported at each end. if the support force at the right end is three times that at the left end, how far from the right end is the person?

please explain

  1. 👍 0
  2. 👎 0
  3. 👁 2,508
  1. PLEASE!!!!!!I really need help. I don't understand it at all!

    1. 👍 0
    2. 👎 0
  2. The sum of the forces at the two ends mut be 500 + 100 = 600 N. If the support force is three times higher at the right end, then the left end must be supporting 150 N and the right end 450 N.

    The person must be standing closer to the right end to distribute the weight in this manner.

    To determine the distance x from the right end that the person is standing, set the total moment about the right end equal to zero.

    500x + 100*4 = 150*8 = 1200
    500 x = 800
    x = 8/5 ft = 1.6 ft

    The 100*4 term is the moment due to the weight of the board, which acts as if it were applied at the center of the board, 4 ft from the right end.

    1. 👍 2
    2. 👎 0
  3. drwls is correct, except change everything labeled in FEET to METERS since the original problem is in meters.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    the problem reads this "A person with mass m1 = 62 kg stands at the left end of a uniform beam with mass m2 = 93 kg and a length L = 3.5 m. Another person with mass m3 = 65 kg stands on the far right end of the beam and holds a

  2. natural science

    a 500-n diver stands at the end of 4.0-m diving board. the board is attached by two supports 1.5-m apart as shown below. find the tension in each of the of the two supports if the diving board weighs 150-n

  3. physics please help!!

    A diver stands on the end of a diving board as shown in the figure on the right. The mass of the diver is 58 kg and the mass of the uniform diving board is 35 kg. Calculate the magnitudes and directions of the forces exerted on

  4. Science

    A 100-kilogram astronaut travels to the moon and steps onto a bathroom scale. The scale reads “16.7 kilograms.” Which statement best describes the reason for this observation? [1 point] A: The scale was designed to use the

  1. physics

    A person is standning on the end of a diving board as shown. The diving board is held in place by two supports. The person has a mass of 60 kg. The diving board has a mass of 30 kg. The supports are 1.5m away from eachother. The

  2. Math

    Michael's father brought him a 16-foot board to cut into shelves for his bedroom. Michael plans to cut the board into 11 equal size lengths for his shelves. The saw blade that Michael will use to cut the board will change the

  3. Physics

    A person of weight 820 N stands on one leg. The area of the foot in contact with the floor is 1.4 X 10^-2 m^2 a. Calculate the pressure exerted by the foot on the ground. b. Explain what would happen to the pressure exerted on the

  4. Physics

    In the diagram below, how far from the end of the board can a 60 kg person walk before it will tip over? The mass of the board is 100 kg, and a 2-meter section of its 6-meter length hangs over the edge. Assume that the entire mass

  1. physics

    A thin 2 kg box rests on a 6 kg board that hangs over the table. the length of the board on the table is 30 cm and the length of the board hanging off the table is 20 cm. How far can the center of the box be from the end of the

  2. physics

    A 59 kg diver stands at the end of a 32 kg springboard, the spring board is 3 m long. The board is attached to a hinge at the left end, but simply rests on the right support which is half way along the board. What is the magnitude

  3. physics

    A 70 kg painter is painting the wall of a building. He stands on a horizontal board of length 4.7 m and mass 15 kg, suspended from vertical ropes attached to each end. If the painter stands 2.0 m from one end of the board, what

  4. Physics

    A uniform 100-N pipe is used as lever. Where the fulcrum (the support point) must be placed if a 500-N weight at one end is to balance a 200-N weight at the other end? What is the reaction force exerted by the support on the pipe?

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