Problem 2 (30 points): Find the resultant couple moment of the two couples that act on the pipe assembly. The distance from A to B is d = 500 mm. Express the result as a vector. (Hint: first calculate two couple moments and then find their resultant couple moment.) (35 points) (35k) N B 250 mm (-50i) N (-35k) N 30 350 mm A (50i) N

Problem 2 (30 points): Find the resultant couple moment of the two couples that act on the pipe assembly. The distance from A to B is d = 500 mm. Express the result as a vector. (Hint: first calculate two couple moments and then find their resultant couple moment.) (35 points) (35k) N B 250 mm (-50i) N (-35k) N 30 350 mm A (50i) N

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The pipe structure is acted upon by a force of 168 N downward at point A, a force of 50.0 N downward at point B, and a force of 50.0 N upward at C as shown. D1 = 1.02 m Part A - Part A D2 = 0.250 m D3 = 0.510 m Which of these forces create a couple moment ? Select the check boxes next to the correct answer. Only one option may be selected. i) Which of these forces create a couple moment, and what is the magnitude of this couple moment? ii) Replace this system by an equivalent single resultant force vector FR and moment vector MR, about point O. O None of the forces. ii) This system can be further simplified to be a single resultant force vector FR acting at a point on the a – axis. Specify where this point is on the x – axis. O The forces at A and B Note that this will be easier if you solve these three questions before inputting all the values. Use units of N and m. O All three forces. (Figure 1) O The forces at A and C O The forces at B and C Figure Submit Request Answer |Z Part B -…
Problem 6: Inputs: a = 600 mm b= 400 mm c = 200 mm F = 100 N The line of action of the force vector passes through points B and C. B N TB (a) Use the cross product to compute the moment about point A. For this part, you must use B in F your vector formulation. That is, compute MA = B x F. Express your answer as a vector and convert "mm" to "m". a b (b) Now use a different position vector, r, in the cross product. This time use rc to to compute the moment about point A. For this part, you must use rc in your vector formulation. Compute MA = rcx F. Express your answer as a vector and convert "mm" to "m". c) Do your answers agree? Yes or no. E By the way, how do you express the force as a vector when you are only given magnitude? Don't forget what we did on the last homework assignment: Position vector → Unit vector → Force vector. y
Two couple forces F = 67N, F - 61N, act on the frame and given that d- 4m and 0- 28". The other length parameters are a = 4m, b- 8m, C- 12m, and e- 12m. Compute the moment by the following methods: -F, -F1 F1 a) Find the moment of each couple by using cross product and add them up. M: kị N m b) Sum up the moments of all forces component about point B resolve forces into a and y components N- m
Using the Cartesian components (rectangular components), determine the resultant of the force vectors answering the magnitude in the space provided below and the direction in the procedure document. Only handwritten Draw to approximate scale the sum-of-forces polygon showing the original vectors and the resultant. In a separate document show the entire work. F = 252lbs, F₂ = 130lbs, a = 65° F3 = 55lbs, m = 6.2, and n = 8.6
Express each result of Parts 1-5 in the form of a Cartesian vector. Part 4 requires the specification of 2 cartesian vectors: a force and a moment vector.
If you know that the moment of the force F about point A should look like the formula: M, i+ M,j• M, k, what is the value of the M,? knowing that the force vector equals to: F= -160.11 + -624.2) + 867Ak lb Note: Your answer should contain only numbers, not units. F B 8 ft 1.5 ft 0.25 ft
Find The couple moment acting on the pipe assembly using Cartesian vector notation. 15 N 300 mm 300 mm 15 N 200 mm 300 mm 200 mm
The pipe assembly is subjected to the action of a wrench at B and a couple at A. (Figure 1) Simplify this system to a resultant wrench. Set F = 40 N. a) Determine the components of the resultant force of the wrench. Enter the x, y, and z components of the force separated by commas. Express your answers in newtons to three significant figures. b) Determine the components of the resultant moment of the wrench. Enter the x, y, and z components of the moment separated by commas. Express your answer in newton-meters to three significant figures. c) Specify the location of the wrench along the axis of pipe CD��, measured from point C�. Express your answer to three significant figures and include the appropriate units.
Replace the force system by a single force resultant and specify its point of application, measured along the x axis from point P. Given: Fj = 125 N a = 1 m F2 = 350 N b = 3 m F2 F3 = 850 N c = 1.5 m d = 2 m a 1) Find FCR) = N. (+ Point up point down] 2) find distance bet ween FrR) and P
Can I have the method in vector mathematics. In lifting a heavy box, a man uses a block and tackle attached to the bottom of an I beam at hook B. The man applies 195 N force to end A of the rope. Given: X1 : 2.943 m Z1 : 1.655 m Z2 : 4.167 m a.) Determine the value of Y1 if the z-component of the moment at the origin is 254.558 N·m b.) Determine the x-component pf the Force Vector F. c.) Determine the mass of the box. If you believe that there is no possible way to solve the problem, justify on why the problem is invalid.
Problem 5: Inputs: F = 81 i lb The force is applied at point A. (a) Use the cross product to compute the moment about point O. Mo = TOA X F. Express your answer as a vector. (b) Using the right-hand rule, interpret your vector result from the previous step and express this as a number with direction, CW or CCW. Use the absolute value here. (c) Use the scalar approach to compute the moment about point O. If you like, you can use the table we used for the previous problems, but a table is not required for this problem. (d) Do parts (b) and (c) jibe? Yes or no. (0, 3, 0) ft y A O F X Even though this is a 2D problem, notice that you must retain the z-term in your vector formulations. That's because the result of the cross product is a moment vector that is perpendicular to the plane containing r and F. In other words, if you're using the cross product, you are inherently constructing a 3D problem, even though the inputs look like a 2D problem.
Consider the diagram of the forces acting on the block. The magnitude of the force labelled F₁ is 40.0 N. The magnitude of the force labelled F2 is 85.0 N. The distances labelled are x=0.600 m, y2 =0.40 m and y₁=1.100 m. What is the net couple moment on the block due to these forces? Give your answer in Nm to 1 decimal place. If the answer is negative include a negative sign in your answer. If the answer is positive do NOT include a positive sign in your answer. F2 X Y₁ Y₂ F₂