By use of vector notation, determine the velocity of mass C, and the angular velocity of bar BC when Ɵ=30°.

Problem (2) Solve mä +kx=0 for k=4 N/m, m = 1 kg, x (0)=1 mm, and i (0) = 0 mm/s. Plot the solution.

9. If the blood viscosity is 2.7x10-3 Pa.s, length of the blood vessel is 1 m, radius of the blood vessel is 1 mm, calculate the tubular resistance of the blood vessel (in GPa.S/m3 ). If the blood pressure at the inlet of the above vessel is 43 mm Hg and if the blood pressure at the outlet of the above vessel is 38 mm Hg. Calculate the flow rate (in ml/min).

- Find V for this mushroom cap on a pipeline. 45° 2 m r 18 m r 3 m3/s – 1 m d V

Problem-4: The characteristics for a pump are given in the table below. The pump is required to left water against static head Az = EN" m. The pipe arrangement has a total length L the pump discharge, head, efficiency and power for the given pipe system. 200, d = 0.1 m and f= 0.016. Find %3D Q (L/s) 10 20 30 35 42 50 Hp (m) efficiency % 210 201 180 150 129 93 48 30 58 80 85 86 74 EN=62 Hp = Az + h, = Az + 12.1 d P = 757

A 25-g bullet B is fired with a horizontal velocity of 450 m/s into the side of a 10-kg square panel suspended from a hinge at A. Knowing that the panel is initially at rest, determine (a) the angular velocity of the panel immediately after the bullet becomes embedded, (b) the impulsive reaction at A, assuming that the bullet becomes embedded in 0.0006 s.

The bathroom plumbing of a building consists of 1.5-cm-diameter copper pipes with threaded connectors, as shown in Fig. 2. (a) If the gage pressure at the inlet of the system is 200 kPa during a shower and the toilet reservoir is full (no flow in that branch), write a Matlab code to determine the flow rate of water through the shower head, friction factor, velocity and Reynolds number. (b) Determine the effect of flushing of the toilet on the flow rate through the shower head. Take the loss coefficients of the shower head and the reservoir to be 12 and 14, respectively. i. ii. iii. iv. the volume flow rate (V₁, V₂ and V3) through each of the parallel pipes. the velocities (V₁, V₂ and V3) through each of the pipes. the Reynolds numbers (Re₁, Re₂ and Re3) through each of the pipes. the friction factor (f₁, f2 and f3) through each of the pipes.

The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.05 m below the water level. The capacity of the pool is V = 3740 gallons, the pool can be drained in t = 10.2 mins. P0 is the pressure of the atmosphere. ρ is the density of the water. a. Write the Bernoulli’s equation of the water at the top of the pool in terms of P0, ρ, h. Assuming the opening is the origin.  b. Write the Bernoulli’s equation of the water at the opening of the pool in terms of P0, ρ, h and v, where v is the speed at which the water leaves the opening. Assuming the opening is the origin.  c. Express v2 in terms of g and h.  d. Calculate the numerical value of v in meters per second.  e. Express the flow rate of the water in terms of V and t.  f. Express the cross-sectional area of the opening, A, in terms of V, v and t.  g. Calculate the numerical value of A in cm2

Question 3 Consider 2 which shows a pipe system connecting two reservoirs. The pipe diameter changes at point B as shown in the image A 10 cm 23 m NOT TO SCALE Figure 2: 9 m 6 cm с 3 m 1. Describe what is referred to by the hydraulic gradient line and the energy gradient line. What is the difference between the two levels? In what scenario will the energy and hydraulic grade lines coincide? 2. Calculate the velocities in the two segments of the pipe. Take into account the friction losses through the pipe, entry loss to the pipe and the shock contraction losses at B. Take the pipe friction factor as 0.005 and the coefficient of contraction at B as 0.6. 3. Draw the energy gradient line and the hydraulic gradient line for the system.

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