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Figure below shows a uniform plank of weight 20N and length 1.0m balanced by a 0.5kg mass at a distance x from the pivot point O.
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  1. Determine the value of X
  2. When the block is completely immersed in water the pivot O must shift by 0.05 m to the left for the system to balance. The density of water is 1000kgm-3
    Determine:
    • The upthrust U on the block.
    • The volume of the block. 

1 Answer

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  1. 20(0.5 -x) = 5x
    x = 0.4m
  2.   
    • F x 0.45= 20 x 0.05
      F = 2.222
      U = 5 - 2.222
      U = 2.778N
       
    • U = pVg
      1000 x 10 x v = 2.778
      V= 2.778 x 10-4m3
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