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Problem 4: A block of mass m slides down a frictionless incline as: The block is released from height h above the bottom of the circular loop. (a) Find the force exerted on the block by the inclined track at point A. (Hint: Consider the Newton's 2nd law in the radial direction and you may use polar coordinates for this circular part of the path to relate the acceleration and velocity components). (b) Find the force exerted on the block by the inclined track at point B. (c) Find the speed of the block at point B. (d) What is the maximum height that the block can reach after leaving the track? (e) Find the distance between point A and the point that the block land on ground level?
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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