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A uniform solid cylinder C with mass m and radius a rolls on the rough outer surface of a fixed horizontal cylinder of radius b. In the motion, the axes of the two cylinders remain parallel to each other. Let θ be the angle between the plane containing the cylinder axes and the upward vertical.
Taking θ as generalised coordinate, obtain Lagrange's equation and verify that it is equivalent to the energy conservation equation. Initially the cylinder C is at rest on top of the fixed cylinder when it is given a very small disturbance.
Find, as a function of θ, the normal component of the reaction force exerted on C. Deduce that C will leave the fixed cylinder when θ = cos-1(4/7). Is the assumption that rolling persists up to this moment realistic?
liquid water is contained in an insulated rigid container. an electrical resistance heater is inside the device is
Write a one-page summary of the requirements, qualifications, and/or skills the five employers are seeking in the candidates, indicating which ones you currently lack.
a preheater involves the use of condensing steam at 100c on the inside ofnbspa bank of tubes to heat air that enters at
air at 1 atm and 20 deg c is flowing over the top surface of a 0.2 m x 0.5 m-long metal foil. the air stream velocity
1. The transistors have |VT |= 3 V. Determine the operating region.
Calculate the conduction heat loss for the following wall: 15ft long, 8ft tall. Calculate for 8 hr, inside temperature at 78F and the outside temperature at 3F. Wall components from outside to inside are brick; 1.2cm(1/2 in.) plywood; wood studs, 5x1..
Many good IT ideas have failed because the developers could not gain market acceptance or could not find a way to make money from their idea. In this Discussion, you will consider some business aspects of the Web. Consider the many Web search e..
a rigid container is filled with 1 kg of water.the volume of the container is 125-l.the initial pressure of the
a closed nonreactive system contains species 1 and 2 in vaporliquid equilibrium. species 2 is a very light gas
a heavy ball with a weight of 130 n is hung from the ceiling of a lecture hall on a 4.0-rm m-long rope. the ball is
A work piece is being cut at 76m/min (250 fpm), and the power is found to be 2.0 kW (2.7hp). The feed is .25 mm/rev (.010 in/rev) and the depth of cut is 5.0 mm (.200 in) What is the cutting force in Newtons (pounds)?
modified brayton cycle is to be analyzed using the air-standard assumption with constant specific heats at a
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