Problem 5: Compute horizontal displacement of joint C of the frame shown. I= 400 × 106 mm', E = 200000 MPa.

Exercise 3) ў+2ў — Зу 3 Зе -*

Consider a cart as shown, with steady-state conditions having been reached, i.e. the cart has filled to a point where the amount of water inside it remains constant. The diameter of both outlets is given as Do. The water column height at exit 2 is twice that at exit 1, that is, H2 = 2H1. Assume inviscid flow. Assume that cart is on level surface. Clearly mark the CV you are using to answer the following questions and also show your axes. (a) Find expressions for V, and Vị in terms of the heights H2 and H1 using appropriate conservation law. (b) Using conservation of mass for an appropriate control volume, find relation between the jet velocity V; and exit velocities V and V2 and the pipe diameters Do and D;. (c) If no horizontal force is needed for the cart to be stationary, find a numerical value for Do/Dj. You may have to use the expressions obtained in the previous subparts.

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