Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1)....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part A Figure 0.3 m F 0.5 m 0.4 m Mc Determine the resultant force. Express the x, y and z components of the resultant force in newtons to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point O and a resultant couple moment (Mo)R by using the following two vector equations: FR - (MO)R + where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Force summation Consider representing each force as a Cartesian vector before summing the forces. Recall that the equivalent single resultant force of a system is given as FR = F. vec 1 of 1 (FR). (FR)y (FR):= 64,400, -48 Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining Part B ? N Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hintal Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part B Figure 0.3 m 0.5 m 0.4 m Mc 1 of 1 Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point and a resultant couple moment (Mo)R by using the following two vector equations: FR - (Mo) = o+ where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Finding the moment of a force around a point Recall that the moment equation about a point O can be written in determinant form as Mo=rx F i j k Tz where F, F, F Tz, Ty, Tz represent the x, y, z components of the position vector drawn from O to any point on the line of action of the force; Fr. Fy, Fz represent the x, y, z components of the force vector. vec (Mo)z (Mo)y (Mo)== Submit Request Answer Provide Feedback ? N-m Next > Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part A Figure 0.3 m F 0.5 m 0.4 m Mc Determine the resultant force. Express the x, y and z components of the resultant force in newtons to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point O and a resultant couple moment (Mo)R by using the following two vector equations: FR - (MO)R + where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Force summation Consider representing each force as a Cartesian vector before summing the forces. Recall that the equivalent single resultant force of a system is given as FR = F. vec 1 of 1 (FR). (FR)y (FR):= 64,400, -48 Submit Previous Answers Request Answer Incorrect; Try Again; 5 attempts remaining Part B ? N Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hintal Replace the loading by an equivalent resultant force and couple moment acting at point (Figure 1). Assume F = 400 N, F = 800 N, and Mc = 85 N. m. Part B Figure 0.3 m 0.5 m 0.4 m Mc 1 of 1 Determine the couple moment acting at point O. Express the x, y and x components of the couple moment in newton-meters to three significant figures separated by commas. View Available Hint(s) Hint 1. Simplification of a force and couple system Recall that a system of several forces and couple moments acting on a body can be reduced to an equivalent single resultant force FR acting at a point and a resultant couple moment (Mo)R by using the following two vector equations: FR - (Mo) = o+ where Mo is the sum of all of the moments of forces about point O, and M is the sum of all the couple moments. Hint 2. Finding the moment of a force around a point Recall that the moment equation about a point O can be written in determinant form as Mo=rx F i j k Tz where F, F, F Tz, Ty, Tz represent the x, y, z components of the position vector drawn from O to any point on the line of action of the force; Fr. Fy, Fz represent the x, y, z components of the force vector. vec (Mo)z (Mo)y (Mo)== Submit Request Answer Provide Feedback ? N-m Next >
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
Replace the loading by an equivalent resultant force and couple moment acting at point A. Units Used: kN = 103 N Given: w1 600N/m w2 = 600 N/m a = 2.5 m b = 2.5 m B
-
How would you compare the value of direct definition from friends in face-to-face conversation and strangers comments on a YouTube posting?
-
On December 1, 2016, Roper Corp. accepted a two-month, $24,000 interest-bearing note from a customer in payment of an account receivable. On December 31, 2016, Roper made the following adjusting...
-
For the following exercises, write the equation of the parabola in standard form. Then give the vertex, focus, and directrix. y 2 6y 6x 3 = 0
-
An investment is guaranteed to have a unique value of IRR if which of the following is true? a. Alternating positive and negative cash flows b. An initial negative cash flow followed by all positive...
-
Effects of Stockholders Equity Transactions on the Balance Sheet The following transactions occurred at Horton Inc. during its first year of operation: a. Issued 100,000 shares of common stock at $5...
-
Two identical loudspeakers are driven in phase by a common oscillator at 880 Hz and face each other at a distance of 1.22 m. Locate the points along the line joining the two speakers where relative...
-
Workmaster Enterprises uses a standard cost system in which direct materials inventory is carried at standard cost. Workmaster has established the following standards for the prime costs of one unit...
-
How does job analysis support human resource management activities? Briefly describe one of the methods commonly used for gathering job analysis data.
-
You are the manager of the human resources (HR) department. The vice president of finance is talking about an operations issue and then makes a small remark to you about his staff being late or...
-
As a Human Resource Manager for Bank of America in Phoenix, Arizona shortly. The organization (B.O.A) has asked you to evaluate whether the current pay structure makes sense given what competing...
-
You are the VP of Human Resources for an energy company based in Philadelphia, PA. It has about 2,300 employees in a variety of jobs and a union (the IBEW) representing the call center and field...
-
1. Why is it critical to list both systems of measurements on all dasign documentation? 2. Why do quantities in the BUM need to be in the units in which the item is purchased? 3. Why do incoming...
-
Angies Bakery bakes bagels. The June production is given below. 300, 230, 230, 230, 300, 230, 430, 250, 430, 430, 450, 300, 450, 450, 300, 430, 300, 230, 250, 230, 250, 430, 300, 450, 450, 300, 430,...
-
The overall reaction and equilibrium constant value for a hydrogenoxygen fuel cell at 298 K is 2H 2 (g) + O 2 (g) 2H 2 O(l) K = 1.28 10 83 a. Calculate E cell and G 8 at 298 K for the fuel cell...
-
The beam is to be hoisted using two chains. If the resultant force is to be F, directed along the positive y axis, determine the magnitudes of forces FA and FB acting on each chain and the...
-
Determine the product of inertia for the shaded area with respect to the x and y axes. Given: a = 1 m b = 1 m (Xy dy
-
The strong back or lifting beam is used for materials handling. If the suspended load has a weight of 2kN and a center of gravity of G, determine the placement d of the pad eyes on the top of the...
-
Sheds Ahead Ltd produces outdoor sheds for domestic use. The manager in charge of production has been asked to prepare a production budget, a direct materials budget and a direct labour budget for...
-
Sami Stitches Ltd produces two types of sewing machines, a standard model and a deluxe model. The budgeted factory overhead costs for the production operation during 2020 are as follows. Production...
-
Gasmania Pty Ltd produces patio heaters for household use. The following information has been gathered so that a production budget, a direct materials budget and a direct labour budget for part of...
Study smarter with the SolutionInn App