A uniform, rigid, thin board that is 2.4m long and weighs 200N is attached to a post by a pivot at point P and hangs over the edge of a building. A crate weighing 400N is attached to the right end of the board. The left end of the board, .8m from the pivot, is attached to a light vertical wire anchored at the other end to keep the board from rotating.
1. Draw and label vectors on a horizontal board to represent forces acting on the board (not components). Show each force vector originating at its point of application.
2. Calculate the magnitudes of the forces exerted on the board by the post and by the wire. If you need to draw anything other than what you have shown in part 1 to assist in your solution, use the space below. Do not add anything to the figure in part 1
3. The rotational inertia of the board alone about its center is (1/12)Ml2, where M is the mass of the board and L is its length. Calculate the rotational inertia of the combined board-crate system about point P
4. Suppose that the wire breaks and the board begins to pivot about point P. Calculate each of the following
(a) The magnitude of the initial angular acceleration of the board-crate system.
(b) The magnitude of the initial linear acceleration of the left end of the board.
A uniform, rigid, thin board that is 2.4m long and weighs 200N is attached to a post by a pivot at point P and hangs over the edge of a building. A crate weighing 400N is attached to the right end of the board. The left end of the board, .8m from the pivot, is attached to a light vertical wire anchored at the other end to keep the board from rotating.
1. Draw and label vectors on a horizontal board to represent forces acting on the board (not components). Show each force vector originating at its point of application.
2. Calculate the magnitudes of the forces exerted on the board by the post and by the wire. If you need to draw anything other than what you have shown in part 1 to assist in your solution, use the space below. Do not add anything to the figure in part 1
3. The rotational inertia of the board alone about its center is (1/12)Ml2, where M is the mass of the board and L is its length. Calculate the rotational inertia of the combined board-crate system about point P
4. Suppose that the wire breaks and the board begins to pivot about point P. Calculate each of the following
(a) The magnitude of the initial angular acceleration of the board-crate system.
(b) The magnitude of the initial linear acceleration of the left end of the board.
