(True or False) Work is always given by the integral ∫PdV.

The system total energy is always conserved, when (mark all): a) a closed system undergoes a process; b) an isolated system undergoes a process; c) a control volume system undergoes a process; d) an open system undergoes a process.

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1. In general, the internal energy U depends on both temperature and volume, U=U(TV). The volume dependence comes from the potential energy due to the interactions among the particles. For free particles, there are no interactions, thus, the internal energy U should be independent of the volume, i.e., = 0. Verify this result for ideal gas pV = RT. au av

A shaft carrying a V-belt pulley and a gear is shown in the attached image. Pulley A with a diameter of d = 150 mm receives power from a motor through a belt with the tensions shown. Belt tension T₁ = 150 N and tension T2 = 600 N. Power is transmitted through the shaft and delivered to gear B, which drives an additional gear (not shown) at a pressure angle of 20 deg relative to the z axis. The gear at B has a pitch diameter of dB = 200 mm. The rotating shaft is simply-supported by frictionless bearings at points O and C. The shaft has a nominal diameter of 25 mm, and all dimensions are in units of millimeters. (a) Determine the value of the force W that acts on gear B. (b) Find the magnitudes of the bearing reaction forces. (c) Draw shear force and bending moment diagrams for both the horizontal and vertical planes. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal…

By the sign convention, work is positive when a system does work on its surroundings. True False