47_Problem CHAPTER 10

47_Problem CHAPTER 10 - PROBLEM 10.44 A cord is wrapped...

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PROBLEM 10.44 A cord is wrapped around a drum of radius a that is pinned at A . The constant of the spring is 3 kN/m, and the spring is unstretched when 0. θ = Knowing that 150 mm a = and neglecting the mass of the drum, determine the value of corresponding to equilibrium when a downward force P of magnitude 48 N is applied to the end of the cord. SOLUTION First note 90 β + 90 α βα + = Length of cord unwound for rotation sa = Now ( ) 0 1 cos , the distance moves down for rotation ya O =− PO yys = + ( ) 1 cos is the distance
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