Turn on thread page Beta
    • Thread Starter
    Offline

    0
    ReputationRep:
    Please help....

    Find the center of mass of a solid with constant density (rho), bounded by x=y^2, x=z, z=0, x=1.

    I had a paraboloid that is inclined with the z-axis.

    Then what should i do next? how can i get the mass? I'm confused.
    Offline

    13
    ReputationRep:
    Right, it's ages since I did any center of mass stuff, and I can't remember the details, but the following things might help you get started.

    1) Draw a picture. I did 4 before I was happy with it

    2) If you want the total mass, you know the density, and you know the boundaries of the shape, and I'm sure you know multiple integration I have a 3D solid, so it definitely has positive mass (provided the density is >0 )

    3) Working out the y bit of the center of mass should be fairly straightforward if you're happy with the shape and its density.

    Does that give you any sense of direction with the problem?
    • Thread Starter
    Offline

    0
    ReputationRep:
    (Original post by ImperceptibleNinja)
    Right, it's ages since I did any center of mass stuff, and I can't remember the details, but the following things might help you get started.

    1) Draw a picture. I did 4 before I was happy with it

    2) If you want the total mass, you know the density, and you know the boundaries of the shape, and I'm sure you know multiple integration I have a 3D solid, so it definitely has positive mass (provided the density is >0 )

    3) Working out the y bit of the center of mass should be fairly straightforward if you're happy with the shape and its density.

    Does that give you any sense of direction with the problem?
    Yeah yeah. My problem is, how will I start the equation of multiple integration? lol

    Y is the best starting variable?
    Offline

    14
    ReputationRep:
    Is this any help?

    • Thread Starter
    Offline

    0
    ReputationRep:
    Thanks. I can imagine the graph. Can you give any starting equation?
    Offline

    14
    ReputationRep:
    (Original post by gel)
    Thanks. I can imagine the graph. Can you give any starting equation?
    This might be helpful.
    http://tutorial.math.lamar.edu/Class...terOfMass.aspx
    • Thread Starter
    Offline

    0
    ReputationRep:
    (Original post by steve2005)
    This might be helpful.
    http://tutorial.math.lamar.edu/Class...terOfMass.aspx
    Thanks. Big help.
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: August 3, 2009
Poll
Could you cope without Wifi?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.