PDF Homework # 1 - SOLUTION

Magnitude of the resultant force FR = F1 + F2 8 May 11, 2016 in Mechanics: Statics tagged components / EMS - Chapter 2 / Engineering Mechanics: Statics / force / Forces / resultant Determine the magnitude of the resultant force F_{R} = F_{1} + F_{2} and its direction, measured clockwise from the positive u axis.2-71. x y z F 500 N F 1 600 N a b g If the resultant force acting on the bracket is directed along the positive y axis, determine the magnitude of the resultant force and the coordinate direction angles of F so that. b 6 90° 30 30 SOLUTION Force Vectors: By resolving F 1 and F into their x, y, and z components, as shown in Figs. a and bDetermine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.Determine the magnitude and direction of the resultant FR= F1 + F2+ F3 of the three forces by first finding the resultant F' = F1 + F2 and then forming FRProblem : Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured Counter clockwise from the positive x axis. ψ = 90 deg - β + α FR = 867 N θ = 63.05 deg φ = θ + α φ = 108 deg Problem: Two identical rollers each of weight Q = 445 N are supported by an inclined plane and a vertical wall as shown in the figure.

Assignment #1 solution - *24 Determine the magnitude of

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis. Given: F1 = 600 N. F2 = 800 N. F3 = 450 N. α = 45 deg. β = 60 deg. γ = 75 degDetermine the magnitude of the resultant forceFR = F1 + F2 and its direction, measured clockwise fromthe positive u axis. Determine the magnitude of the resultant forceFR = F1 + F2 and itsQuestion: Determine The Magnitude Of The Resultant Force FR=F1+F2. Assume That F1 = 240 Lb And F2 = 370 Lb Assume That F1 = 240 Lb And F2 = 370 Lb This problem has been solved!Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive u axis.Given:F1 = 300 NF2 = 500 Nα = 30 degβ = 45 degγ = 70 deg View Answer

Assignment #1 solution - *24 Determine the magnitude of

Determine the magnitude of the resultant force and its

Problem: Determine the magnitude of the resultant force FR = F1 + F2 and its direction, Determine the magnitude of the resultant force F R = F 1 + F 2 and its direction, measured counterclockwise from the positive x-axis. Learn this topic by watching Vector Composition & Decomposition Concept Videos.2-38.Y Express each of the three forces acting on the support in Cartesian vector form and determine the magnitude of the resultant force and its direction, measured clockwise from positive x axis. F1 50 N y 5 4 x F3=30 N 15° F2=80 N 1 et *2-40...Determine the magnitude of the resultant force FR = F1 + F2 Get solutions . Determine the magnitude of the resultant force F R = F 1 + F 2 and its direction, measured counterclockwise from the positives axis. Walkthrough video for this problem: Chapter 2, Problem 3P 05:32Determine the magnitude of the resultant force FR = F1 + F2 and its direction measured counterclockwise from the positive u axis.Given:F1 = 25 lbF2 = 50 lbθ1 = 30 degθ2 = 30 degθ3 = 45 deg View AnswerExpress your answer using three significant figures. Part C Determine the magnitude of the resultant force FR=F1+F2+F3. Express your answer to three significant figures and include the appropriate units. Part D Determine the direction of the resultant force FR=F1+F2+F3, measured counterclockwise from the positive x axis.

Determine the magnitude of the resultant force F_R = F_1 + F_2 and its path, measured clockwise from the positive u axis.

Solution:

Let us draw the vector elements. When doing this query, it is highly recommended to draw an overly massive diagram, differently, the v-axis could cause confusion as it might appear to be the resultant force.

Now, we will use the law of cosines to determine F_R. (Forgot the Law of Cosines?)

(F_R)^2=300^2+500^2-2(300)(500)\cos95^0

F_R=\sqrt300^2+500^2-2(300)(500)\cos95^0

F_R=605.1N

To figure out \theta we will be able to use the regulation of sines. (Forgot the Law of Sines?)

\dfrac605.1\sin95^0=\dfrac500\sin \theta

\theta = 55.40^0

As the question asks us for the direction measured from the positive u-axis, we want to upload 30^0 to our \theta price. Remember that \theta most effective represents the angle between force F_1 and F_R.

\phi=55.40^0+30^0

\phi=85.4^0

This question can also be present in Engineering Mechanics: Statics (SI edition), 13th edition, bankruptcy 2, query 2-4.

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