Physics

posted by .

A thin rod of length L and mass M rotates about a vertical axis through its center with angular velocity w. The rod makes an angle B with the rotation axis. Determine the angular momentum of the rod.

  • Physics -

    I w

    I w = 2 (M/L) integral from 0 to L/2 of (x sin B)^2 dx * w

    = 2 w (M sin^2 B/L) integral 0 to L/2 of x^2 dx

    = 2 w (M sin^2 B / L) x^3/3 at x = L/2 - at x = 0

    = (2/3) w (M sin^2 B / L) L^3/8

    = (1/12) w M L^2 sin^2 B

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. AP Physics

    A uniform thin rod of length 0.3m and mass 3.5kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 3g bullet traveling in the horizontal plane of the rod is fired into one end of the …
  2. physics

    A thin uniform rod is rotating at an angular velocity of 7.70 rad/s about an axis that is perpendicular to the rod at its center. As the figure indicates, the rod is hinged at two places, one-quarter of the length from each end. Without …
  3. physics

    A thin uniform rod is rotating at an angular velocity of 6.7 rad/s about an axis that is perpendicular to the rod at its center. As the drawing indicates, the rod is hinged at two places, one-quarter of the length from each end. Without …
  4. CUC

    1.Two masses of 4gm and 6gm respectively are attached to the ends of a light rod of negligible mass and the rod rotates anticlockwise at the rate of 2rev/sec about an axis passing through the center of mass and perpendicular to its …
  5. College Physics

    A uniform horizontal rod of mass M and length l rotates with angular velocity w (omega) about a vertical axis through its center. Attached to each end of the rod is a small mass m. Determine the angular momentum of the system about …
  6. Physics

    A nonuniform 2.0-kg rod is 2.0 m long. The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod. The moment of inertia of the rod about this axis is 4.0 kg m2. The …
  7. physics

    A uniform thin rod of length 0.55 m and mass 5.5 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is a rest when a 3.0-g bullet traveling in the horizontal plane of the rod is fired into one end …
  8. PHYSICS

    A thin rod has a length of 0.339 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.687 rad/s and a moment of inertia of …
  9. PHYSICS

    A thin rod has a length of 0.339 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.687 rad/s and a moment of inertia of …
  10. physics

    A thin rod has a length of 0.25 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.33 rad/s and a moment of inertia of 1.40 …

More Similar Questions