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holt/Downloads/EE%2021 6BME%20260%20EXERCISE%20QUESTIONS%201 9.05.201 9.pdf Use the cylindrical coordinate system as shown in the figure below for...
2. A cylindrical structure with infinite length is positioned as shown in the figure below; where...
2. A cylindrical structure with infinite length is positioned as shown in the figure below; where the z-axis is out of the paper. The shaded regions are made of a semiconducting material (there is no metal in this structure). The area between the two shaded regions is filled with air. The current density in each region is: b. J2(A/m) for B s T SA Find the magnetic field in regions 1, 2, 3, and 4 123 4 BC
2. A...
Three particles are located in a coordinate system as shown in the figure below. The acceleration...
Three particles are located in a coordinate system as shown in
the figure below. The acceleration of gravity is 9.8 m/s 2 . The
mass 8 kg is located at the origin, the mass 8 kg is located on the
x coordinate, and the mass 7 kg is located on the y coordinate.Find
the distance of the center of gravity from the origin. Answer in
units of m.
7 kg 8 kg 8 k g 12 m
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on...
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 +y2 = 9, and its height is 2. (a) Give a parametric equation, rt) for the rim, C r)= with (For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.) (b) If S is oriented outward and...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y2 = 9, and its height is 4. (a) Give a parametric equation, r(t) for the rim, C. r(t) with <t< (For this problem, enter your vector equation with angle-bracket notation: <f(t), g(t), h(t) >.) (b) If S is oriented outward and downward, find 's curl (-6yi + 6xj...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional...
The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional area A, is filled with water and when the piston is pushed (by pulling the trigger), water is forced out the tube with cross-sectional area A. The radius of the cylinder and tube are, respectively, 1.40 cm and 1.50 mm, and the center of the tube is a height h = 3.00 cm above the center of the cylinder. (Assume atmospheric pressure is 1.013...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. B...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. Block A has mass of mA 75 kg. The cylinder B is considered a homogeneous solid and moves in frictionless bearings. The mass of cylinder B is m 85 kg and its radius is r 150 mm. Block C has mass of mc 145 kg. The kinetic coefficient of friction between block C and the mc 145 kg...
2. Given the situation as shown in the figure. The hollow sphere is rolling down an...
2. Given the situation as shown in the figure. The hollow sphere is rolling down an inclined plane! Mass of the sphere is M, radius is R and vertical height is H. V is the linear velocity of the center of mass, ICM is the moment of inertia and ω is the angular velocity. Write the conservation of energy for above system; make sure you use the symbols given (use initial as the top and final as before it hits...
2. A cylindrical structure with infinite length is positioned as shown in the figure below; where the z-axis is out of the paper. The shaded regions are made of a semiconducting material (there is no metal in this structure). The area between the two shaded regions is filled with air. The current density in each region is: b. J2(A/m) for B s T SA Find the magnetic field in regions 1, 2, 3, and 4 123 4 BC
2. A...
Three particles are located in a coordinate system as shown in
the figure below. The acceleration of gravity is 9.8 m/s 2 . The
mass 8 kg is located at the origin, the mass 8 kg is located on the
x coordinate, and the mass 7 kg is located on the y coordinate.Find
the distance of the center of gravity from the origin. Answer in
units of m.
7 kg 8 kg 8 k g 12 m
Assignment 9: Problem 3 Previous Problem List Next (1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 +y2 = 9, and its height is 2. (a) Give a parametric equation, rt) for the rim, C r)= with (For this problem, enter your vector equation with angle-bracket notation: < f(t), g(t), h(t) >.) (b) If S is oriented outward and...
(1 point) The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but no top.) The side of S is given by x2 + y2 = 9, and its height is 4. (a) Give a parametric equation, r(t) for the rim, C. r(t) with <t< (For this problem, enter your vector equation with angle-bracket notation: <f(t), g(t), h(t) >.) (b) If S is oriented outward and downward, find 's curl (-6yi + 6xj...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...
The construction of a water pistol is shown in the figure below. The cylinder with cross-sectional area A, is filled with water and when the piston is pushed (by pulling the trigger), water is forced out the tube with cross-sectional area A. The radius of the cylinder and tube are, respectively, 1.40 cm and 1.50 mm, and the center of the tube is a height h = 3.00 cm above the center of the cylinder. (Assume atmospheric pressure is 1.013...
For the mechanical system shown below find the input-output equation relating xolt) to the displacement input x(t) 1. ド ド Ki Derive the transfer function X,G)/X, (s)of the mechanical system shown below. The displacements x, and xo are measured from their respective equilibrium potions. Is the system a first-order system if so, what is the time constant? 2. k1 bz k2 3. Consider the mechanical system shown below. The system is initially at rest. The displacements x, and x2 are...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. Block A has mass of mA 75 kg. The cylinder B is considered a homogeneous solid and moves in frictionless bearings. The mass of cylinder B is m 85 kg and its radius is r 150 mm. Block C has mass of mc 145 kg. The kinetic coefficient of friction between block C and the mc 145 kg...
2. Given the situation as shown in the figure. The hollow sphere is rolling down an inclined plane! Mass of the sphere is M, radius is R and vertical height is H. V is the linear velocity of the center of mass, ICM is the moment of inertia and ω is the angular velocity. Write the conservation of energy for above system; make sure you use the symbols given (use initial as the top and final as before it hits...
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