Two parallel conducting wires lie along the direction of the z axis as shown. Wire 1 crosses the x-axis at x = -1.23 cm and carries a current of 2.64 A out of the xy-plane of the page. Wire 2 crosses the x axis at x = 1.23 cm and carries a current of 6.41 A into the xy plane. At which value of x (in cm) is the magnetic field zero? y ४ Questic In the flows Find t the tw Wir Wir
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- One of the vertical walls supporting end B of the200-kg uniform shaft is turned through a 300angle as shown here. End A is still supported by the ball-and-socket connection in the horizontal x-y plane. Which of the following gives the reaction exerted by wall C, on the ball end B of the shaft by the vertical walls. A. 1221 N B. 2331 N C. 2345 N D. 1584 N Which of the following gives the reaction exerted by wall D, on the ball end B of the shaft by the vertical walls. A. 755 N B. 811 N C. 4567 N D. 1111 NGiven the parabola 3x2 + 40y – 4800 = 0. (a) What is the area bounded by the parabola and the x-axis? (b) What is the moment of inertia, about the X-axis, of the area bounded by the parabola and the X-axis? (c) What is the radius of gyration, about the area bounded by the parabola and the X-axis?6. Determine the reactions at A and B on the Fink truss shown in the figure. Members CD and FG are respectively perpendicular to AE and BE at their midpoints.The gate AB is a quarter circle of 2.5 meters in diameters and 3 meters wide asshown in figure#2. How Find the horizontal component of the resultant hydrostatic forceacting on the gate in kilonewtons. How find the vertical component of the resultant hydrostatic force actingon the gate in kilonewtons, and how to find the location of PH and Pv from hinge A in meters. And if the weight of the gate is 100 Newtons, how find the force “F” just sufficient to preventrotation about hinge A.
- The triangular gate shown in the figure below is hinged at the B and rests on a smooth floor at A, the horizontal component of the reaction at A therefore being zero. The base of gate is 1.215 meters and perpendicular to the paper. Determine the vertical component of the reaction at A and the horizontal and vertical components of the reaction at B for the following sets of conditions: (a) The vertex of the gate is at B, x= 2.15 meters, y = 3.15 meters and z = 4.15 meters.The triangular gate shown in the figure below is hinged at the B and rests on a smooth floor at A, the horizontal component of the reaction at A therefore being zero. The base of gate is 1.215 meters and perpendicular to the paper. Determine the vertical component of the reaction at A and the horizontal and vertical components of the reaction at B for the following sets of conditions: (a) The vertex of the gate is at A, x = 1.15 meters, y = 2.15 meters and z =3.15 meters. (b) The vertex of the gate is at B, x= 2.15 meters, y = 3.15 meters and z = 4.15 meters6.) The section of a gate at the end of a tank is shown below. The length of the gate is 3 m normal to the paper and hinge at O. If the depth of water is 2.50 m, neglecting the weight of the gate calculate the distance of the line of action of vertical component of the hydrostatic force on the submerged curved section of the gate from the y-axis. Use unit weight of water 9.80 kN/m^3. fluid mechanics
- 7.) The section of a gate at the end of a tank is shown below. The length of the gate is 3 m normal to the paper and hinge at O. If the depth of water is 2.50 m, neglecting the weight of the gate calculate the horizontal force P to maintain equilibrium. Use unit weight of water 9.80 kN/m^3. Note: change 6 meters arcSolve for the following using the figure shown in Fig 1:a) If the equivalent single force of the system is 300kN acting up along the y-axis, determine themagnitude and direction of F2 and its direction ifF3=248 N and F1=488.11 N and α=69°.b) If the equivalent single force of the system is zero,determine the magnitude and direction of F1 andits direction if F3=458 N and F2=280 N and β=31°.c) If the equivalent single force of the system is -200i+160j, determine the magnitude and direction of F2and its direction if F3=319 N and F1=279 N and α=30°Collars A and B are connected by a 525 mm wire and can slide freely, without friction, on the rods. If the force P = 370j [N] is applied to collar A and the system is in balance, calculate the intensity of the forces.
- A two-dimensional diverging duct is being designed to diffuse the high-speed air exiting a wind tunnel. The x-axis is the centerline of the duct (it is symmetric about the x-axis), and the top and bottom walls are to be curved in such a way that the axial wind speed u decreases approximately linearly from u1 = 300 m/s at section 1 to u2 = 100 m/s at section 2 . Meanwhile, the air density ? is to increase approximately linearly from ?1 = 0.85 kg/m3 at section 1 to ?2 = 1.2 kg/m3 at section 2. The diverging duct is 2.0 m long and is 1.60 m high at section 1 (only the upper half is sketched in Fig. P9–36; the halfheight at section 1 is 0.80 m). (a) Predict the y-component of velocity, ?(x, y), in the duct. (b) Plot the approximate shape of the duct, ignoring friction on the walls. (c) What should be the half-height of the duct at section 2?Find the moment of inertia about the x' axis of the channel cross-section if the channel material has uniform thickness of 0.5 in.A 3-cm-diameter horizontal pipe attached to a surface makes a 90° turn to a vertical upward direction before the water is discharged at a velocity of 6 m/s. The horizontal section is 5 m long and the vertical section is 4 m long. Neglecting the mass of the pipe and considering the weight of the water contained in the pipe, the bending moment acting on the base of the pipe on the wall is (a) 11.9 N·m (b) 46.7 N·m (c) 127 N·m (d) 104 N·m (e) 74.8 N·m