e Mastering Engineering MasteringcomputerScience HW 3- Google Chrome Secure http

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e Mastering Engineering MasteringcomputerScience HW 3- Google Chrome Secure https: session masteringengineering.com/ Engineering Mechanics Spring 2017 Signed in as Madison Macias Resources HML3 Problem 4.1 a previous l 10 of 19 l next Part A Problem 4.11 If 30° determine the placement z of the hook at B so that this force creates a maximum moment about point O. Express your answer to three significant figures and include the appropriate units. The towine exerts a force of P 6.2 kN at the end of he 8-m-long crane boom (Figure 1) z I-49.6 KN m Submit My Answers Give Up Incorrect, Try Again; 8 attempts remaining Figure Part B What is this moment? Express your answer to three significant figures and include the appropriate units. Enter positive value if the moment is counterclockwise and negative value if the moment is clockwise. 8 m (Mo E-49.6 KN m. Submit My Answers Give U Incorrect, Try Again; 8 attempts remaining ENG 1021 PM

Explanation / Answer

Part B)

Maximum moment occurs when the force P = 6.2 kN is perpendicular to the crane boom OA.

Thus the maximum moment of the force P = 6.2 kN about the point O is given by

Maximum moment about O, (Mo)max = P * AO counter clockwise.

===> Maximum moment about O, (Mo)max = 6.2 * 8 kN-m counter clockwise

===> Maximum moment about O, (Mo)max = 49.6 kN-m counter clockwise and it is positive due to its direction.

Part A)

The placement of the hook from the boom point O is obtained by the relation

BO = x = AO/cos 30°

===> BO = x = 8/cos 30° m = 9.238 m

Thus the placement of the hook is x = 9.238 m from the boom point O towards left.

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