Philomena, who weighs 32 kg, is enjoying bouncing vertically…

Philomena, who weighs 32 kg, is enjoying bouncing vertically on a pogo stick. When she’s at the bottom of her bounce, her accelerometer tells her she is accelerating upwards at a rate of 6.7 m/s2, and she notices that the spring has compressed by 15 cm. What is the spring constant of the pogo stick’s spring k?

Kithri is carrying a wooden board across a construction site…

Kithri is carrying a wooden board across a construction site when she decides to rest for a minute. She places one end of the 2.8-m-long, 15 kg board on a nearby fence post while continuing to hold the board near the opposite end. If Kithri can only muster 80 N of force to lift the board, how far from the fence must she hold the board to keep it in a horizontal position?

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?