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Q. A light string that does not stretch changes from horizontal to vertical as it passes over the edge of a table. The string connects m1, a 3.40 kg block, originally at rest on the horizontal table at a height 1.27 m above the floor, to m2, a hanging 2 kg block originally a distance d = 0.970 m above the floor. Neither the surface of the table nor its edge exerts a force of kinetic friction. The blocks start to move from rest. The sliding block m1 is projected horizontally after reaching the edge of the table. The hanging block m2 stops without bouncing when it strikes the floor. Find the speed of m1 at which it leaves the end of the table. Find the impact speed of m1 on the floor. What is the shortest length of the string so that it does not go taut while m1 is in flight?
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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