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**[SOLVED] Equilibrium and Elasticity problem need help hw due tomarrow**

**1. Homework Statement**

two identical, uniform, and frictionless spheres, each of weight W, rest in a rigid rectangular container. A line connecting their centers is at 45° to the horizontal.Find the magnitude of each of the following forces on the spheres in terms of W. (Hint: The force of one sphere on the other is directed along the center-center line.)

(a) the force from the bottom of the container

(b) the force from the left side of the container

(c) the force from the right side of the container

(d) the force from each other

here is a diagram of the spheres in the box

http://www.webassign.net/hrw/hrw7_12-59.gif

**2. Homework Equations**

Newtons second and third laws

**3. The Attempt at a Solution**

The contact force exerted by the lower sphere on the upper is along that is 45o and the forces exerted by the walls and floors are normal.

Equilibrium force on the top sphere leads to

Fwall = F cos 45 and F sin 45 = m g

According to newtons third law the equilibrium of forces on the bottom sphere leads to

F'wall = F cos 45 and F'floor = F sin 45 +mg

a)magnitudes of the forces on the spheres from the bottom of the container

F'floor = mg +mg = 2mg

b)magnitudes of the forces on the spheres from the left side of the container

F'wall = mg

c))magnitudes of the forces on the spheres from the right side of the container

F'wall = mg

d) magnitudes of the forces on the spheres from each other

F = mg / sin 45 = mg * √2

but that is incorrect