a) If the angle is increased to 90 degrees, think about what happens to the forc
ID: 1288023 • Letter: A
Question
a) If the angle is increased to 90 degrees, think about what happens to the forces. Now consider angle of 22 degrees. What is the magnitude of the forces of the sphere from the left side of the container?
b) From the right side of the container?
c) From the bottom of the container?
d) What is the magnitude of the forces of the spheres on each other?
Two identical, uniform and frictionless spheres, each of mass m, rest in a rigid rectangular container as shown in the figure. A line connecting their centers is at 45 degress to the horizontal. Answer in ratio of m. a) If the angle is increased to 90 degrees, think about what happens to the forces. Now consider angle of 22 degrees. What is the magnitude of the forces of the sphere from the left side of the container? b) From the right side of the container? c) From the bottom of the container? d) What is the magnitude of the forces of the spheres on each other?Explanation / Answer
The contact force exerted by the lower sphere on theupper is along that is 45o and the forces exerted by thewalla and floors are normal.
Equilibrium force on the top sphere leads to
Fwall = F cos 45and F sin 45 = m g
According to newtons third law the equilibrium of forceson 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 thebottom of the container
F'floor = mg+mg = 2mg
b)magnitudes of the forces on the spheres from the leftside of the container
F'wall = mg
c))magnitudes of the forces on the spheres fromthe right side of the container
F'wall = mg
d) magnitudes of the forces on the spheresfrom each other
F = mg / sin45 = mg* ?2
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