center of mass

posted by .

3 point mass of 4g placed at x=1,3,-6. where should a point fourth mass of 4 gm be placed to make the center of the mass at the orgin?

this what i got : -24+4+12+4x/16=-8+4x/16. this what i did but i didn't get the right answer(which is 2) can someone tell me what is the problem

  • center of mass -

    to find the center of mass, you add up all of the x-points * all of their corresponding masses. (e.g. sum x*m)

    and you divide it by the sum of all of the masses (e.g. sum m)

    therefore (sum x*m)/(sum m).
    you are looking for where to place x to make the center of mass at the origin.

    so (1*4)+(3*4)+(-6*4)+(x*4) = 0
    solve for x.
    -8 = (x*4)
    x = 2

    TahDah!!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics-torques

    Suppose that a meter stick is balanced at its center. A 0.27-kg is positioned at 18 cm from the left end of the meter stick. Where should a 0.28 kg mass be placed to balance the 0.27 kg mass?
  2. Physics

    two point masses are located in the same plane. the distance from mass 1 to the center of mass is 3.0m. The distance from mass 2 to the center of mass is 1.0m. What is m1/m2, the ratio of mass 1 to mass 2?
  3. physics

    three point particles are fixed in place in an xy plane. Particle A has mass mA = 3 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed near the other three particles. …
  4. physics

    The drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, …
  5. physics

    The drawing shows a human figure approximately in a sitting position. For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, …
  6. 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 …
  7. physics

    A uniform rod of mass M = 326 kg is in the shape of a semicircle of radius R = 6 m. Calculate the magnitude of the force on a point of mass m = 74 kg placed at the center of the semicircle, as shown in the figure.
  8. physics

    For the purposes of this problem, there are three parts to the figure, and the center of mass of each one is shown in the drawing. These parts are: (1) the torso, neck, and head (total mass = 40.4 kg) with a center of mass located …
  9. Physics

    A meter stick has mass 39 g, and has a pivot placed at the center at the 50 cm mark. A mass of m1 is place at the 5 cm mark. Another mass of 10 g is placed at the 70 cm mark. What mass m in grams has to be placed at the 80 cm mark …
  10. physics

    Two dimensions. In the figure, three point particles are fixed in place in an xy plane. Particle A has mass mA = 4 g, particle B has mass 2.00mA, and particle C has mass 3.00mA. A fourth particle D, with mass 4.00mA, is to be placed …

More Similar Questions