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Question1
A 35 kg uniform ladder is leaned against a building. The 5 meter tall ladder makes an angle of 60 degrees with ground. The ladder encounters a coefficient of a static friction from ground of 0.3 and a coefficient of static friction with the wall of 0.42. A painter has to climb two-thirds of the ladder to reach a blank spot on the wall. What is utmost mass that the painter can have before the ladder begins to slip?
Question2
A wing section of L=1m and width 20m is being tested at STP conditions. The speed of air passing over the bottom surface is 290m/s as the speed distribution over the top surface can be approximated by v(x)= (vox)/L; [0,L] vo=540m/s Based on Bernoulli’s principle, conclude the lift (the net force) acting on wing. (The air flows in the x-direction.)
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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