25.0 Bird cm Hinge

The crew on peg leg Petes' ship have mutinied. Now Pete finds himself walking the plank. The plank is 4.5m long and has a mass of 13kg. 3.6 meters of the plank extend out over the waters. The plank pivots on a small rail at the edge of the ship, this is the only point of the plank in direct contact with the ship. The remaining meter of the plank is held in place over the deck by the metal bar. The bar is .6m from the pivot. If Pete has a mass of 111kg, what is the torque provided by the bar when Pete is at the end of the plank?

A 0.643 kg cat sits at the end of a 15.7 kg, 11.2 m long beam.  An accident occurs and the support cable breaks, causing the beam to rotate without friction until it hits the wall.  If the cat held onto the end of the beam what would its speed be as it impacts the wall? (however, it is smart and jumps off part way down)

A 550.0 g bird is flying horizontally at 2.50 m/s, not paying much attention, when it suddenly flies into a stationary vertical bar, hitting it 25.0 cm below the top. The bar is uniform, 0.700 m long, has a mass of 1.50 kg kg, and is hinged at its base. The collision stuns the bird so that it just drops to the ground afterward (but soon recovers to fly happily away). What is the angular velocity of the bar just after it is hit by the bird? Express your answer in radians per second. W1 = rad/s

A bean of wood with negligible mass and the lenght 5.0 m is placed on a tirangular support. A mass of 9.5 kg is hanging on the left end of the beam, and a box with mass 23kg is placed on the beam. In order to prevent the beam form moving and to keep it in equilibrium, a person has to support the beam at the right end. IF the distance from the pivot to the hanging mass is 1.2 m, and the distance from the pivot to the point where the force from the box is applied on te beam is 2.3 m, with that magnitude of force F in the unit N , does the person have to hold the beam tokeep the equilibrium? Use g=9.8 m/s^2 as acceleration due to gravity