Problem 1 -
A ladder of length l moves in contact with the wall and the floor. The angle θ describes the location of the ladder completely. In terms of θ and its derivatives, find the velocity and acceleration of points A, B, and C on the ladder (with respect to the ground) as It falls while remaining in contact with the wall and the floor. Note that gravity acts.
The reference frame defined as follows: OXYZ is fixed to the ground; Cxyz is fixed to the ladder.
Problem 2 -
As sketched in the figure, a ship is rolling at a constant angular velocity ω1 about the X direction, with respect to ground, and is also pitching at a constant angular velocity ω2 about the Y direction, with respect to ground. The ship is level at the instant shown. The radar antenna located on the ship is rotating at a constant angular velocity ω0 about the Z direction, with respect to the pitching and rolling ship. Find the angular velocity and angular acceleration of the radar antenna (with respect to ground) at the instant shown.
