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posted by  Babianghel on 10/11/2008 11:20:23 AM  |  status: Closed  

Chapter 9, Figure 9-7

Course Textbook Chapter Problem
General Physics Physics: Principles with Applications (6th) by Giancoli 9 Figure 9-7
Question Details:
This specific problem is from Figure 9-7 of the Giancoli textbook. The teacher modified it a bit. Please help. Thank you.
In Figure 9-7 (page 230) take the boy to have mass 36kg and to be at distance 2.1m from the pivot, and the girl to have mass 27kg.
 
Find:
a) the distance between the girl and the pivot.
 
b) the force exerted on the seesaw by the pivot if the seesaw has mass 20kg.
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posted by Justin_08 on 10/11/2008 1:43:00 PM  |  status: Live
Asker's Rating: Lifesaver   
Babianghel's comment:
"Thanks so much for your help!"
Response Details:
 
 
               Given that the mass of the boy  is  Mb= 36 Kg 
                                      mass of the girl is Mg = 27 Kg
           The distance between the pivot and the boy is  d = 2.1 m
---------------------------------------------------------------------------------   
 
               The free body diagram as follows
 
                    
 
   if the system is in equlibrium then the summation of all forces along is y direction is zero 
 
                       ΣFy = 0
           Normal force - M*g - Mb*g - Mg*g = 0
                    Fn =  M*g + Mb*g + Mg*g      ------------------------ (1)
  
   (a)   if the seesaw is in equlibirum then   the torque acting on it is zero .
 
                  Σ τ  = 0
    (M*g)*(0)  +  Mb*g(2.1m)  - Mg*g (x)  = 0
                                              Mb*g(2.1m)  =  Mg*g (x)       
                                                                 x =  Mb(2.1m) /  Mg
                                                                     = --------- m 
   --------------------------------------------------------------------
  (b)  if the mass of the seesaw is M = 20 Kg
 
          then    from the equation (1) we get   Fn = --------------------- N
 
 
          
                 
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