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Q. Two identical spheres, each of mass M and negligible radius, are fastened to opposite ends of a rod of negligible mass and length 2l. this system is initially at rest with the rod horizontal, and is free to rotate about a frictionless, horizontal axis through the center of the rod and perpendicular to the plane of the page. a bug, of mas 3M, lands gently on the sphere on the left. assume that the size of the bug is small compared to the length of the rod. express your answers to all ports of the question in terms of M, l, and physical constants. a. determine the torque about the axis immediately after the bug lands on the sphere.b. determine the angular acceleration of the bug immediately after the but lands.The rod-spheres-bug system swings about the axis. at the instant that the rod is vertical,as shown above, determine each of the following.c. the angular speed of the bugd. the angular momentum of the systeme. the magnitude and direction of the force that must be exerted on the bug by the sphere to keep the bug from being thrown off the sphere.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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