HW19-S07-solution

HW19-S07-solution - Homework 18 – Problem#1 Goal the...

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Unformatted text preview: Homework 18 – Problem #1 Goal : the maximum and minimum heights (measured from the floor) if the panel is not to tip Given : dimensions shown in figure, P=200 N, m=50kg, μ =0.15 Assume : panel does not tip, so α =0 Equations : ∑ = x G x ma F , , ∑ = y G y ma F , , ∑ = α G z G I M , Solution : ( ) N m kg s N s m kg mg W 490 1 8 . 9 50 2 2 = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⋅ ⋅ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = = ∑ = − = W N F A y N W N A 490 = = → N N N F A A 5 . 73 490 15 . = ⋅ = = → μ x G x G A x a g W ma F P F , , ∑ = = − = ( ) 2 , 2 , 53 . 2 5 . 73 200 490 8 . 9 s m a N N N s m a x G x G + = → − = → ( ) ( ) ( ) ∑ = − − − = α G A A z G I P m h F m N m M 6 . 6 . 25 . , ( ) ( ) ( ) ( ) ( )( ) α G I N m h N m N m = − − − 200 6 . 5 . 73 6 . 490 25 . ( )( ) α G I N h m N = − ⋅ → 200 4 . 198 Maximum h occurs when α =0, i.e., just about to tip with α <0 (i.e., clockwise), ( ) ( ) m N m N h N h m N 992 . 200 4 . 198 200 4 . 198 max max = ⋅ = → = − ⋅ Also need to check lower limit for h to see if it tips CCW about lower left corner, ( ) ( ) ( ) 6 . 6 ....
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This note was uploaded on 04/08/2008 for the course AEM 264 taught by Professor Parkermcinerny during the Spring '08 term at Alabama.

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HW19-S07-solution - Homework 18 – Problem#1 Goal the...

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