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A uniform ball of mass m rolls down a rough wedge of mass M and angle α, which itself can slide on a smooth horizontal table. The whole system undergoes planar motion. How many degrees of freedom has this system? Obtain Lagrange's equations.
For the special case in which M = 3m/2, find (i) the acceleration of the wedge, and (ii) the acceleration of the ball relative to the wedge.
a piston-cylinder device initially contains 1.2 kg of steam with a volume of 0.2 m3. the mass of the piston is such
an ideal gas contained in s piston-cylinder device undergoes and isothermal compression process which begins with an
the force f 30i 20j - 10k n. a determine the magnitude of the moment of f about a. b suppose that you can change the
Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.
Figure 4.42 shows a gasoline tank filled into the filler pipe. The gasoline has a specific gravity of 0.67. Calculate the total force on each flat end of the tank and determine the location of the center of pressure.
suppose that the mass in a mass-spring-dashpot system with m10 c9 and k2 is set in motion with x00 and x05 a find the
Calculate the minimal round-trip time delay for a radio communications link between Los Angeles and the satellite.
The friction between the chip and the tool face formula
An alloy contains 105.0 kg of iron, 0.2 kg of carbon, and 1.0 kg of chromium. Calculate the alloy composition in weight percent. Calculate the alloy composition in atom percent.
Find the transverse components for a backward-propagating TM wave in a rectangular waveguide of width a and height b. Assume the backward-propagating wave propagates in the negative z direction and the amplitude of the wave is
determine by direct integration the mass moment of inertia of the wire with respect to each of the coordinate axes
two kilograms of zinc at 500c and 1 atmosphere is contained in a thermally insulated jacket. the system is compressed
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