Second-order partial differential equations chap. 11 2. show that if the operator l[u] in (8.1) is moving coordinates hyperbolic and a 0, the transformation to x, = x-241, t'=t takes l into a multiple of the wave operator. (that is, the wave operator is another standard orm for a hyperbolic operator.)

The bar of prob. 5/82 is repeated here. the ends of the 0.4-m bar remain in contact with their re- spective support surfaces. end b has a velocity of 0.5 m/s and an acceleration of 0.3 m/s2 in the di- rections shown. determine the angular accelera- tion of the bar and the acceleration of end a.

Which of the following best describes internal energy? a. the difference between the kinetic and potential energies of the particles in a system b. the sum of the kinetic and potential energies of the particles in a system c. the sum of the kinetic and thermal energies of the particles in a system d. the difference between the kinetic and thermal energies of the particles in a system

Awhite-blue star is hotter than a red star. select the best answer from the choices provided true or false