2 Unstable: Corners + sides = 8 + 12 = 20 1. How many different positions of stable equilibrium and unstable equilibrium are there for a cube (consider each surface, edge and corner to be a different position)?Stable: flat sides = 6Unstable: Corners + sides = = 20
3 2. A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold eights 200 N and is 3.00 m long. What is the tension in each rope when the 700 N worker stands 1.00 m from one end?T1T2Sum torques around T1:Sum torques around T2:200N700N
4 Sum torques around 50cm mark: 3. A student hangs a 25g mass from the 0.0 m mark on a meterstick and another at the 20. cm point. How large of a mass should the student hang at the 85 cm point if the student wants to perfectly balance the meterstick on her finger placed at the 50. cm mark?0.025kg205085m = ?Sum torques around 50cm mark:
5 4. A 245 N shop sign is hung from the end of a 1. 70 m, 155 N beam 4. A 245 N shop sign is hung from the end of a 1.70 m, 155 N beam. The beam is placed flat against the wall m from the wall, a cable is attached, one end to the beam and the other end to the wall. What is the tension in the wire if the wire makes a 35o angle with the beam?WALLT35oTsin35o155N245N0.85m1.35m1.7mSum torques around the wall because I don’t know the frictional force provided by the wall.
6 50.0kg(9.8m/s2)45kg(9.8m/s2)35kg(9.8m/s2)0.45m1.00m0.35mT1T25. A 50.0 kg porch swing is 2.00 m long and is supported by two cables vertically connecting each side of the swing to the ceiling of the porch. If a 35 kg kid is sitting 0.35 m from the right end of the swing and a 45 kg kid is sitting 0.45 m from the left end, what is the tension in each support cable?