Lerry places a 3.0-kg box on a 8.5-kg board, part of which h…

Lerry places a 3.0-kg box on a 8.5-kg board, part of which hangs over the edge of a table, as shown in the figure. The leftmost 30 cm of the board lie on the table, while the remaining 20 cm of the board hang over the edge of the table, for a total length of 50 cm. How far from the rightmost tip of the board can the center of the box be placed before the board begins to tilt?

Garret, who has a mass of 65 kg, leisurely rests 1.5 m from…

Garret, who has a mass of 65 kg, leisurely rests 1.5 m from the end of a 200 kg, 6.0 m long uniform wooden beam, which is horizontally attached to a building via a hinge and cable. Unfortunately for Garret, the cable snaps, so Garret grabs onto the beam as it falls. Assuming the hinge remains fixed to the wall and Garret and the beam rotate together, what is the magnitude of the initial angular acceleration of the beam?