Results 1 to 3 of 3

Math Help - Volume, center of a mass and moment of inertia of a reqular square pyramid

  1. #1
    Newbie
    Joined
    Sep 2010
    Posts
    13

    Volume, center of a mass and moment of inertia of a reqular square pyramid

    Hi,

    In this problem I have a regular square pyramid (base length a , height b) and it's spun about its axis symmetry of z.

    How do I find it's Volume?

    And center of mass?

    How about the moment of intertia of the pyramid?

    Ps. Now in right forum I think

    Thank you for your help as I've been stuck with this for while.Volume, center of a mass and moment of inertia of a reqular square pyramid-pyramid.bmp
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jul 2009
    Posts
    593
    Thanks
    4
    If its spun (like a top) along the z-axis, then it just makes a cone with similar height, but with circular base of radius [tex] \frac{a\sqrt{2}}{2}[tex]; see if you can derive that on your own.

    Do you know how to find the volume of a solid in 3-dimension? If not I would review that, as the other two question follow from it.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Sep 2010
    Posts
    13
    Quote Originally Posted by ANDS! View Post
    If its spun (like a top) along the z-axis, then it just makes a cone with similar height, but with circular base of radius [tex] \frac{a\sqrt{2}}{2}[tex]; see if you can derive that on your own.

    Do you know how to find the volume of a solid in 3-dimension? If not I would review that, as the other two question follow from it.
    Thanks. I'm not sure if I know how to find the volume. I know that need to divide it to sub-bodies.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Moment of inertia of a square prism
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 23rd 2011, 07:31 PM
  2. Replies: 0
    Last Post: September 2nd 2010, 05:49 PM
  3. Rotation Bodies - moment of inertia of square sheet
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: November 12th 2009, 05:26 PM
  4. Center of mass/moment
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 19th 2006, 08:30 PM
  5. Second moment of inertia.
    Posted in the Advanced Math Topics Forum
    Replies: 2
    Last Post: April 24th 2006, 08:23 AM

Search Tags


/mathhelpforum @mathhelpforum