Physics

posted by .

A 0.95 m rod with uniform mass distribution runs along the x axis with its left end at the origin. A 1.8 m rod with uniform mass distribution runs along the y axis with its top end at the origin. Find the coordinates of the center of gravity for this system.

  • Physics -

    This is soluble only if they both rods have the same mass distribution. If they do,
    the center of mass of the 0.95 m rod is at (0.475; 0) and has a mass of 0.95;
    the center of mass of the 1.8 m road is at (0; - 0.9) and has a mass of 1.8;
    the center of mass of those two objects is at:
    [(0.475)(0.95) + (0)(1.8)]/2.75 = 0.164 [x coordinate]
    [(0)(0.95) + (-0.9)(1.8)]/2.75 = -0.589 [y coordinate]
    C.M.: (0.164; -0.589)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A thin non-uniform rod of length L=2.00 m and mass M=9.00 kg is free to pivot about an axis at one end. The CM of the rod is at a distance d=1.30 m from that end as illustrated below. The rod's moment of inertia about an axis through …
  2. Physics

    A long thin rod lies along the x-axis from the origin to x=L, with L= 0.890 m. The mass per unit length, λ (in kg/m) varies according to the equation λ = λ0 (1+1.410x2). The value of λ0 is 0.700 kg/m and x is in …
  3. Physics

    A long thin rod lies along the x-axis from the origin to x=L, with L= 0.890 m. The mass per unit length, λ (in kg/m) varies according to the equation λ = λ0 (1+1.410x2). The value of λ0 is 0.700 kg/m and x is in …
  4. physics

    A uniform rod is set up so that it can rotate about a perpendicular axis at one of its ends. The length and mass of the rod are 0.849 m and 1.17 kg. What constant-magnitude force acting at the other end of the rod perpendicularly both …
  5. Physics

    An object is formed by attaching a uniform, thin rod with a mass of mr = 6.54 kg and length L = 5.12 m to a uniform sphere with mass ms = 32.7 kg and radius R = 1.28 m. Note ms = 5mr and L = 4R. 1)What is the moment of inertia of the …
  6. physics

    An object is formed by attaching a uniform, thin rod with a mass of mr = 6.54 kg and length L = 5.12 m to a uniform sphere with mass ms = 32.7 kg and radius R = 1.28 m. Note ms = 5mr and L = 4R. 1)What is the moment of inertia of the …
  7. physics

    A rod with a length L = 0.385 m and a nonuniform linear mass density rests along the y axis with one end at the origin. If the linear mass density of the rod is given by λ = (5.00 ✕ 10−2 kg/m) + (1.50 ✕ 10−2 …
  8. Physics

    A long thin rod lies along the x-axis from the origin to x=L, with L= 0.750 m. The mass per unit length, λ (in kg/m) varies according to the equation λ = λ0 (1+1.410x3). The value of λ0 is 0.600 kg/m and x is in …
  9. physics

    A thin, rigid, uniform rod has a mass of 2.60 kg and a length of 1.69 m. (a) Find the moment of inertia of the rod relative to an axis that is perpendicular to the rod at one end.A thin, rigid, uniform rod has a mass of 2.60 kg and …
  10. physics

    A uniform rigid rod of mass 1kg and length 30cm. Find the moment of inertia of the rod about an axis perpendicular to the rod through on end.

More Similar Questions