physics
posted by Elisa .
1. It has been suggested that rotating cylinders about 11 mi long and 5.2 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the freefall acceleration on Earth?
2. If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 52.0 N·m, what minimum force must be exerted by the mechanic at the end of a 37.0 cm lug wrench to accomplish the task?
3. A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a 9.0 kg object at the origin of the coordinate system, a 10.0 kg object at (0, 2.0), and a 17.0 kg object at (4.0, 0). Find the resultant gravitational force exerted by the other two objects on the object at the origin.
magnitude:
direction:

We will be happy to critique your work after you have shown some effort.
Hints:
1. the length does not matter
2. Torque = force * (lever arm)
3. Compute the forces between each the origin object and each of the other two, and add them vectorially. Use Newton's universal law of gravitation