Analytical Mech Homework Solutions 51

Analytical Mech Homework Solutions 51 - CHAPTER 5...

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CHAPTER 5 NONINERTIAL REFERENCE SYSTEMS 5.1 (a) The non-inertial observer believes that he is in equilibrium and that the net force acting on him is zero. The scale exerts an upward force, N G , whose value is equal to the scale reading --- the “weight,” W’, of the observer in the accelerated frame. Thus 0 0 N mg mA + = G G G 0 A G N G mg G (b) (a) 0 5 0 4 4 g N mg mA N mg m N mg = = = 5 5 4 4 W N mg W ′ = = = 150 . W lb ′ = (b) The acceleration is downward, in the same direction as g G 0 4 g N mg m + = 3 4 4 W W ′ = = W W 90 . W l ′ = b r 5.2 (a) ( ) cent F m ω ω = − × × G G G G G G G For r ω , 2 ˆ cent r F m r ω e = 1 1 500 1000 s s ω π = = ( ) 2 6 2 ˆ 10
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