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A cart is placed on an inclined plane (a wooden board which is seton an angle) and attached to a pulley by a rope at the end of thewooden board. On the other side of the rope, hanging below theinclined plane is a weight. When let free the pulley system movesin a manner in which the weight moves towards the ground and thecart moves forward on the board. The question is when the cartreaches it's maximum speed and how to figure out the value for thatspeed given only the mass of the cart and weight and anydistance/length measurements required.
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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