A string is wound around a uniform disc ofradius 0.49 m and mass 2.2 kg. The disc isreleased from rest with the string vertical andits top end tied to a fixed support.Calculate the speed of the center of masswhen, after starting from rest, the center ofmass has fallen 3.1 m. The acceleration ofgravity is 9.8 m/s^2. Answer in units of m/s.

A 90-m wire is suspended between two points at the same elevation that are 60 m apart. Knowing that the maximum tension is 300 N, determine (a) the sag of the wire, (b) the total mass of the wire.

Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor. The ladders weigh 600 N and 450 N, respectively, and the center of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a) Find the upward force at the bottom of each ladder. (b) Find the tension in the rope.

The man has a weight W and stands at the center of the plank. If the planes at A and B are smooth, determine the tension in the cord in terms of W and θ.

Two ladders, 4.00 m and 3.00 m long, are hinged at point A and tied together by a horizontal rope 0.90 m above the floor. The ladders weigh 480 N and 360 N, respectively, and the center of gravity of each is at its center. Assume that the floor is freshly waxed and frictionless. (a) Find the upward force at the bottom of each ladder. (b) Find the tension in the rope. (c) Find the magnitude of the force one ladder exerts on the other at point A. (d) If an 800-N painter stands at point A, find the tension in the horizontal rope.

Three identical coins lie on three corners of a square 10.0 cm on a side, as shown. Determine the x- and y-coordinates of the center of gravity of the group of three coins.

overhead view of a rigid rod that turnsabout a vertical axle until the identical rubber stoppers A and B are forced against rigid walls at distances rA = 7.0 cm and rB = 4.0 cmfrom the axle. Initially the stoppers touch the walls without beingcompressed.Then force of magnitude 220 N is applied perpendicularto the rod at a distance R = 5.0 cm from the axle.Find the magnitudeof the force compressing (a) stopper Aand (b) stopper B.

Why is it important to secure file cabinets to the floor, especially cabinets with heavy loads in top drawers?

A pirate's treasure chest lies 50.0 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top that is 0.750 m x 0.425m?