- #1
mayaitagaki
- 8
- 0
Hi everyone,
I've got stuck on this prove problem
Please help me!
Let S be a rectangular sheet with sides a and b and uniform density, and total
mass M.
(a) Show that the moment of inertia of S about an axis L that is perpendicular to S,
meeting S through its center, is
I =1/12*M(a^2 + b^2)
(b) Use the Parallel Axis Theorem in combination with part (a) to show that the moment of inertia of S about an axis L' that is perpendicular to S, meeting S through one of its corner, is
I =1/3*M(a^2 + b^2)
Please see the attachment.
Theorem and an example!
Thank you,
Maya
I've got stuck on this prove problem
Please help me!
Let S be a rectangular sheet with sides a and b and uniform density, and total
mass M.
(a) Show that the moment of inertia of S about an axis L that is perpendicular to S,
meeting S through its center, is
I =1/12*M(a^2 + b^2)
(b) Use the Parallel Axis Theorem in combination with part (a) to show that the moment of inertia of S about an axis L' that is perpendicular to S, meeting S through one of its corner, is
I =1/3*M(a^2 + b^2)
Please see the attachment.
Theorem and an example!
Thank you,
Maya