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Question1
A mountain climber, in procedure of crossing between two cliffs by a rope, pauses to rest. She weighs 521 N. As drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in left and right sides of the rope are not the same. Discover the tensions in the rope to left and to right of the mountain climber. (α = 58.5° and β = 81.5°.)
Question2
A coke-oven gas contains 40% CH4 , 13% H2 and 52% CO. Find out:
a) volume of dry air required to completely burn 1 m3 (both at the standard temperature and pressure, or STP, of 273°K and 1 atm) of this gas.
b) Volume (in m3 at STP) and composition (in percent by volume) of burning product gas, assuming all H2O is in the gas phase.
c) Recalculate a) and b) assuming feed air saturated with water vapour at 75°C.
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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