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A rigid tank whose volume of 0.5 m3 initially contains ammonia at 20°C, 1.5 bar, and is connected by a valve to a supply line carrying ammonia at 12 bar, 60 °C. The valve is opened enough to allow more ammonia to enter, until the total mass of ammonia reaches 143.36 kg. The final temperature is 20°C. Calculate the heat transfer between the contents of the tank and the surroundings. Ignore the kinetic and potential energy variations.

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11.26** A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m (same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as shown in Figure 11.20. Using the angles 1 and 2 as generalized coordinates, solve for the normal frequencies of small oscillations, and find and describe the motion in the corresponding normal modes. [Hint: The KE of the hoop is 167, where I is its moment of inertia about A and can be found using the parallel axis theorem.] 02 m Figure 11.20 Problem 11.26

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9. A rod is fixed at midpoint with both ends free. The rod produces a 3rd overtone of 7500Hz. The speed of the wave is at 3000 m/s. determine the length of the rod and the fundamental frequency. 8. Resolve problem 7 if the rod is fixed at one end and free at the other end?

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