C https/Iwww.chegg.comhomework helplengineering mechanics statics dynamics-13t e
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C https/Iwww.chegg.comhomework helplengineering mechanics statics dynamics-13t edition chapter 17 problem 26p-solution-978013291548 https://session. enoe: HWW masteringengineering.com/myctitemview?assignmentProblemID 50481288offset next EGEN 202. Engineering Mechanics Dynamics signed in a Hassan Arnemen bw 12 Problem 18.9 e previous l 5 of 5 retum to assignment Problem 18.9 Part A if the cable is sutjected to force of P-300 N.and the spool starts from rest, determine its angular velocity after its oenter of mass Ohas moved 1,5 m The mass of the spool is 114 kg and its radius of gyration about its center of mass is ko 275 mm ,Assume that the spool rols without slipping. Express your answer to three significant figures and include the appropriate units. Value Units 400 mm My Answers Glyn,up Provide Feedback C P 300N 200 mmExplanation / Answer
moment of inertia i = mk^2 = 114*0.275^2 = 8.621 kgm^2
angula acceleration a = torque/i = 300*0.200/8.621
= 6.9597 rad/s^2
theta = 1.5/0.400 = 3.75 rad
using third equation of rotation,
w^2 = 2a theta
w = sqrt(2*6.9597*3.75)
= 7.224 rad/s answer
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