e MasteringEngineering MasteringComputerscience Assignment 2 (Chapter 2) - Googl

Question

e MasteringEngineering MasteringComputerscience Assignment 2 (Chapter 2) - Google Chrome A Secure https://session.masteringengineering.com/myct/itemView?assignmentProblemID=6287038 Assignment 2 (Chapter 2) Problem 2.54 previous 7 of 9 | next , Problem 2.54 Part A Suppose that F = 44 N. Figure 1) Determine the magnitude of the resultant force. Express your answer to three significant figures and include the appropriate units. "H A r o . , in Fx = Value Units Submit My Answers Give Up Figure 1 of 1 Incorrect; Try Again F7 - 26 IN Part B Determine the direction of the resultant force, measured counterclockwise from the positive T axis. Express your answer using three significant figures. DVD AZy U vee s o o o ? 30 - Submit My Answers Give Up is Continue B44 PM Type here to search R D to 9/5/2017

Explanation / Answer

Writing F1 in vector form:
F1 = -44*sin 30 x - 44*cos 30 y
F1 = -22 x - 38.1 y

Writing F2 in vector form:
F2 = -26*(5/13) x + 26*(12/13) y
F2 = -10 x + 24 y

F1 + F2 = -22 x - 38.1 y - 10 x + 24 y
= -32 x - 14.1 y

A)
magnitude = sqrt (32^2 +14.1^2)
= 35.0 KN

B)
Since both x and y are negative, resultant force lies in 3rd q   uadrant
so,
angle = 180 + atan (|y/x|)
angle = 180 + atan (14.1/32)
angle = 180 + 23.8
angle = 203.8 degree

Answer: 203.8 degree

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