Question 3 In the figure, two identical, uniform, and frictionless spheres, each of mass 5.4 kg,...
Chapter 12, Problem 064 MESSAGE HY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK In the figure, two identical, uniform, and frictionless spheres, each of mass 6.1 kg, rest in a rigid rectangular container. A line connecting their centers is at 45 to the horizontal Find the magnitudes of the forces on the spheres from (a) the bottom of the container, (b) the left side of the container, (c) the right side of the container, and (d) each another (Hint: The force...
Two uniform spheres of identical mass and radius are placed on inclined planes at the same height h and inclination angle θ. One plane is rough and causes one sphere to roll down the plane; the other is frictionless, and so the sphere on it slides down the incline. Find the ratio of the kinetic energies of the two spheres at the bottom of the incline: .
Two uniform spheres of identical mass and radius are placed on inclined planes at the same height h and inclination angle θ. One plane is rough and causes one sphere to roll down the plane; the other is frictionless, and so the sphere on it slides down the incline. (a) Find the ratio of the kinetic energies of the two spheres at the bottom of the incline: . (b) Find the ratio of their speeds at the base of the...
Two identical uniform solid spheres areattached by a solid uniform thin rod, as shown in the figure. Therod lies on a line connecting the centers of mass of the twospheres. The axes A, B, C, and D are in the plane of the page(which also contains the centers of mass of the spheres and therod), while axes E and F (represented by black dots) areperpendicular to the page. Rank the momentsof inertia of this object about the axesindicated. Rank from...
In the figure three identical conducting spheres form an equilateral triangle of side length d = 23.2 cm. The sphere radii are much smaller than d and the sphere charges are qA = -3.73 nC, qB = -3.52 nC, and qC = +7.91 nC. (a) What is the magnitude of the electrostatic force between spheres A and C? The following steps are taken: A and B are connected by a thin wire and then disconnected; B is grounded by the...
In the figure three identical conducting spheres form an equilateral triangle of side length d 25.1 cm. The sphere radii are much smaller than d and the sphere charges are qA =-2.07 nC, qB =-4.84 nC, and 9c = +9.31 nC. (a) what is the magnitude of the electrostatic force between spheres A and C? The following steps are taken: A and B are connected by a thin wire and then disconnected; B is grounded by the wire, and the...
The figure shows, in cross section, two solid spheres with uniformly distributed charge throughout their volumes. Each has radius R. Point P lies on a line connecting the centers of the spheres, at radial distance R/6 from the center of sphere 1. If the net electric field at point is zero, what is the ratio 92/Q1 of the total charge q2 in sphere 2 to the total charge q1 in sphere 1? Number the tolerance is +/-2% Click if you...
Two uniform solid spheres have the same mass, 1.65 kg, but one has a radius of 0.256 m while the other has a radius of 0.844 m. For each of the spheres, find the torque required to bring the sphere from rest to an angular velocity of 357 rad/s in 10.5 s. Each sphere rotates about an axis through its center. a)Torque on sphere with the smaller radius. b)Torque on sphere with the larger radius. c)For each sphere, what force...
A) in minutes B) in launched pairs C) in rad/s All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass identical uniform hollow spheres, each of mass D E 74-meters, attached at the ends of the rod, as shown below. Note that none of the diograms shown is drawn to scale 4 4x 10° kg and length C. 4.4 x10 kg and l length C.240 meters, with two 17-'x 106kg...
4. Two identical, uniform planks, each of mass m - 5.25 kilograms and length L 3.50 meters, are joined together at a hinge as shown below. A cord of length d 2.00 meters stretches between their centers as they rest on a frictionless surface. Find the tension in the cord. Hint: Set up a separate FBD for each plank Hinge Cord Frictionless floor