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Q1. A shell, fired from a cannon, has a muzzle speed (the speed as it leaves the barrel) of 800 ft/s. The barrel makes an angle of 45o with the horizontal and, for ease; the barrel opening is assumed to be at ground level.
(a) Find parametric equations for the shell's trajectory relative to the coordinate system
(b) How high does shell rise?
(c) How far does shell travel horizontally?
(d) What is the speed of shell at its point of impact with the ground?
Q2. A uniform horizontal bar of length L = 3 m and weight 226 N is pinned to a vertical wall and supported by a thin wire that makes an angle of theta = 20o with the horizontal. A mass M, with a weight of 347 N, can be moved anywhere along the bar. The wire can withstand a maximum tension of 596 N. What is the most possible distance from the wall at which mass M can be placed before the wire breaks?
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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