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HW18-Solution - HW18 Solution Terry Cooke Cal Poly San Luis...

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HW18 - Solution Terry Cooke: Cal Poly San Luis Obispo
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Chapter 8, Solution 25 FBD window: 5 lb T 0: 0 x A D A D F N N N N Impending motion: A s A D s D F N F N 0: (18 in.) (27 in.) (36 in.) 0 D A A M W N F 10 lb W 3 2 2 2 3 4 A s A A s W N N W N 0: 0 y A D F F W T F 2 A D W F F W T Now ( ) 2 A D s A D s A F F N N N Then 2 2 2 3 4 s s W W or 0.750 s
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Chapter 8, Solution 30 ( a ) P 0 0: (2 ft) (50 lb)(3 ft) 0 D A M N 75 lb A N 0: 75 lb x D A F N N 0: 50 lb 0 y A D F F F 50 lb A D F F But: ( ) 0.40(75 lb) 30 lb ( ) 0.40(75 lb) 30 lb A m s A D m s D F N F N Thus: ( ) ( ) 60 lb A m D m F F and ( ) ( ) A m D m A D F F F F . Plate is in equilibrium ( b ) P 20 lb 0: (2 ft) (50 lb)(3 ft) (20 lb)(5 ft) 0 D A M N 25 lb A N 0: 25 lb x D A F N N 0: 50 lb 20 lb 0 y A D F F F 30 lb A D F F But: ( ) 0.4(25 lb) 10 lb ( ) 0.4(25 lb) 10 lb A m s A D m s D F N F N Thus: ( ) ( ) 20 lb A m D m F F and ( ) ( ) A D A m D m F F F F . Plate moves downward
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