Unit 7.1 Static Equilibrium Practice Test

Click to download files!

 A 100 kg uniform, horizontal beam is supported at each end. If a 300 kg piano rests a quarter of the way from one end, then what is the vertical force that makes the system stay in equilibrium?
 A person lies horizontally across the entirety of a board, of length 1.5 m, that is positioned in such a way that each end lies on a scale. Scale 1 reads 25 kg and scale 2 reads 30 kg. Given that the woman’s mass is 50 kg what distance are each of the scales from the center of gravity of the woman lying on the board?
 Two children sit on opposite ends of the a see saw Child 1 of mass 40 kg and Child 2 of mass 30 kg and another child, Child 3 of mass 20 kg, wants to balance the seesaw where should she sit? Assume that the seesaw is uniform and is 10m long.
 A 10.0 m long uniform ladder weighs 325 N. It is positioned at an angle of 70° with the horizontal. Assume that the wall is frictionless. Calculate the coefficient of friction that is needed to keep the ladder from sliding down.
 Consider a situation with three torques on a board. One on each end and one in the middle (caused by gravity). Draw a diagram of what happens when you consider each possible pivot point and how the torques interact (oppose or add).