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Q1. A straight 2.60 m rod pivots around a perpendicular axis so that it can swing freely in a horizontal plane. Jane pushes perpendicular to the rod at its midpoint with 98.0 N of force, directed horizontally, to make a torque. Matt has attached a rope to the end of the rod, and is pulling on it horizontally to create an opposing torque. The rope creates a 67.0° angle with the rod. With what force must Matt pull so that the net torque on the rod is zero?
Q2. The wavelength of the laser beam used in a compact disc player is 790 nm. Suppose that a diffraction grating produces first-order tracking beams 1.2 mm apart at a distance of 3.o mm from the grating. Approximation the spacing between the slits of the grating.
Q3. A 310 piano slides 3.5 down a 30 incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effectual coefficient of kinetic friction is 0.37. Compute the work done by the man on the piano.
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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