math

posted by .

An 18 kg mass is placed st one end of a steel bar that is 1 m long. A 35 kg mass is placed at the other end. Where should the fulcrum be placed to balance the bar?

  • math -

    mass x distance on one side = mass x distance on the other side

    let the distance be x m from the heavier mass
    35x = 18(1-x)
    35x = 18 - 18x
    53x = 18
    x = 18/53 = .3396

    the fulcrum should be appr 34 cm from the heavier load.

    check:
    34(35) = 1190
    66(18) = 1188 , close enough for 2 digit accuracy.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    This is how the problem starts out: A meter stick is placed with the fulcrum at the 50-cm mark. If a 120-g mass is placed at the 25-cm mark and a 25-g mass at the 10-cm mark, where should a 500-g mass be placed to balance the system?
  2. AP CALC

    A temperature of a 10m long metal bar is 15C at one end and 30C on the other end. Assuming that the temperature increases linearly from the cooler end to the hotter end, what is the average temperature of the bar?
  3. PHYSICS

    A box is lifted with a pry bar, by slipping the bar under the box and lifting up on the bar. If the pry bar is 2m in length and it is grasped at the end, and the box is located at the opposite end, the fulcrum, with its center of gravity …
  4. PHYSICS

    A box is lifted with a pry bar, by slipping the bar under the box and lifting up on the bar. If the pry bar is 2m in length and it is grasped at the end, and the box is located at the opposite end, the fulcrum, with its center of gravity …
  5. PHYSICS please HELP

    A box is lifted with a pry bar, by slipping the bar under the box and lifting up on the bar. If the pry bar is 2m in length and it is grasped at the end, and the box is located at the opposite end, the fulcrum, with its center of gravity …
  6. Physics

    A 5.80 kg ball is dropped from a height of 14.5 m above one end of a uniform bar that pivots at its center. The bar has mass 9.00 kg and is 6.40 m in length. At the other end of the bar sits another 5.30 kg ball, unattached to the …
  7. physics

    A fulcrum is placed under the center of a uniform 4.00m long, 3.00kg board. Child A has a mass of 42 kg. This child sits on the left end of the board; Child B has a mass of 26kg. Child B sits on the right end of the board. Where should …
  8. physics

    A NON-UNIFORM board of length L and mass M has a center of mass at 5/6L. If the fulcrum is placed at the center of the board and a block of mass m is placed at the right of the board, then where must a block of mass 3m be placed to …
  9. Mechanics & hydromechanics

    A uniform 98 N pipe is used as a lever. Where the fulcrum must be placed if a 504 N weight at one end is to balance a 192 N weight at the other end?
  10. physics

    a metal bar 70cm long and 4.00 kg in mass supported on two knief -edge placed 10 cm from each end. a 6.00 kg weight is suspended at 30 cm from one end . find the reaction at the knife-edge ?

More Similar Questions