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Q1. A hockey stick is swung with an average angular acceleration of 1.5 rad/s2. What is an angular velocity of the stick when it strikes the ball at the end of 0.8 second swing?
Q2. A string is wound tightly around a freely rotating solid disk of mass M and radius R. The free end of string is then attached to a block of mass M, which itself is attached to a vertical spring of spring constant k. The disk is rotated clockwise by some external agent until the spring is stretched from its equilibrium length by distance R equal to the radius of the disk. The disk is held in this position by the finger pushing directly down at the disk's top until it is released.
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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