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Q1. One type of steel has a density of 8000 and a breaking stress of 6.9×108. A cylindrical guitar string is to be made out of a quantity of steel with a mass of 3.50 .What is the length of the greatest and thinnest string that can be located under a tension of 860 without breaking?
Q2. A ship's anchor weighs 5000 rm N. Its cable passes over a roller of negligible mass and is wound around a hollow cylindrical drum of mass 380 rm kg and radius 1.1 rm m. The drum is mounted on a frictionless axle. The anchor is released and drops 16 rm m to the water.
Q3. A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. while 1400 kcal of heat is added to the gas, the volume is observed to increase slowly from 12.0 to 18.2 determine (a) work completed by the gas and (b) change in internal energy of the gas.
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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