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What is the center of mass of the remaining part of the sphere ?

  1. Oct 3, 2004 #1
    Please who can solve this for me.... :frown:
    Many thanx

    A solid sphere has a mass of 25 kg and a radius of 30cm. The center of the sphere is placed at the origin,x=0,y=0,z=0. The sphere is cut and the part of the sphere above z=7cm is removed.
    What is the center of mass of the remaining part of the sphere ?

    PLease help me, i am very confused...
    Thank you very much
     
  2. jcsd
  3. Oct 3, 2004 #2

    arildno

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    Welcome to PF!
    How are you used to calculating the center of mass of systems consisting of several objects?
     
  4. Oct 3, 2004 #3
    Use the center of mass equation. (((x)1*m(1)) + (x(2)*m(2)) + (x(3)*m(3))) / (m(1) + m(2) + m(3))
     
  5. Oct 3, 2004 #4
    there's a given hint: by symmetrie u can see that the center of mass lies along the z-axis. slice the sphere up in discs of thickness dz and integrate over z to find the center of mass
     
  6. Oct 3, 2004 #5

    arildno

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    Use that hint!
     
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