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A smooth wire has the form of the helix x = a cos θ, y = a sin θ, z = bθ, where θ is a real parameter, and a, b are positive constants. The wire is fixed with the axis Oz pointing vertically upwards.
A particle P, which can slide freely on the wire, is released from rest at the point (a, 0, 2πb). Find the speed of P when it reaches the point (a, 0, 0) and the time taken for it to do so.
a manufacturing firm produces four types of automobile parts. each is first fabricated and then finished. the required
Your Company is interested in the Pb-Sn alloy system as a possible solder material. Determine the cooling curve for the 90 Sn-10 Pb alloy.
A solid brass sphere of diameter 11.0 in is lowered into the ocean to a depth of 10,000 ft. Determine the change in diameter, the change in volume, and the strain energy of the sphere due to hydrostatic pressure.
How much energy storage capacity would Scotland need to satisfy all its electricity needs with renewable generation and provide a stable grid
hydrogen at 25 bar 450degc enters an adiabatic turbine and expands to 2 bar 160degc with a mass flow rate of 0.2 kgs.
Using the implicit, finite-difference method with a time increment of 1 h, find the temperature distribution in the wall 5, 10, 50, and 100 h after introduction of the flue gases.
a load of lumber of weight w 25 kn is being raised by a mobile crane. knowing the tension is 25 kn in all portions of
What are the advantages of such signal modification chips in comparison with the conventional analog signal conditioning hardware that employ discrete circuit elements and separate components to accomplish various signal conditioning tasks?
(a) Draw a schematic of the system and (b) determine if the inventor's claims are true.
Argon at 20oC and 100kPa has a velocity of 27 m/s and enters a constant diameter pipe of 18mm. As the argon passes through the pipe, it is heated in a steady flow process to 100oC. The pressure at that point is 28 kPa. Calculate the velocity at the p..
What is the Kolmogorov complexity K(M(n)) (approximately)? What is K(S(n)) (approximately)? Which is larger (M(n) or S(n))? Give a reasonable lower bound on M(n) and a reasonable upper bound on S(n).
The middle axle is 4.5 m from the front axle and 10 m from the rear axle. Locate the center of gravity with respect to the front axle.
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