Total stuck on this for my hw... don\'t get this at all. help!!! A lamina occupi
ID: 2840437 • Letter: T
Question
Total stuck on this for my hw... don't get this at all. help!!!
A lamina occupies the part of the disk x2+y2?4 in the first quadrant and the density at each point is given by the function ?(x,y)=4(x2+y2).
A. What is the total mass?
B. What is the moment about the y-axis, My=?x?(x,y)dxdy?
C. What is the moment about the x-axis, Mx=?y?(x,y)dxdy?
D. Where is the center of mass? (, )
E. What is the moment of inertia about the origin, ?(x2+y2)?(x,y)dxdy?
A lamina occupies the part of the disk x2+y2?4 in the first quadrant and the density at each point is given by the function ?(x,y)=4(x2+y2).
A. What is the total mass?
B. What is the moment about the y-axis, My=?x?(x,y)dxdy?
C. What is the moment about the x-axis, Mx=?y?(x,y)dxdy?
D. Where is the center of mass? (, )
E. What is the moment of inertia about the origin, ?(x2+y2)?(x,y)dxdy?
Explanation / Answer
The total mass is just the (infinite) sum of the (infinitesimal) masses of the infinitesimal areas (using: mass = density
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