Mathc initiation/c58cb
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c00b.c |
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/* ---------------------------------- */
/* save as c00b.c */
/* ---------------------------------- */
#include "x_hfile.h"
#include "fb.h"
/* ---------------------------------- */
int main(void)
{
double Ix = simpson_dxdy(y2f, u,v,LOOP, ay,by,LOOP);
double Iy = simpson_dxdy(x2f, u,v,LOOP, ay,by,LOOP);
double I0 = simpson_dxdy(x2plsy2f, u,v,LOOP, ay,by,LOOP);
clrscrn();
printf(" Find the polar moment of inertia of the lamina\n");
printf(" that has the shape of the region bounded by the \n");
printf(" graphs of the given equations.\n\n");
printf(" y = %s, y = %s, x = %+.1f, x = %+.1f, \n\n", veq, ueq, by ,ay);
printf(" and f(x,y) (the area mass density at (x,y)) \n\n\n");
printf(" f : (x,y)-> %s \n\n", feq);
printf(" These give : \n\n");
printf(" v : (y)-> %s \n", veq);
printf(" u : (y)-> %s \n\n", ueq);
printf(" by : %+.1f \n", by);
printf(" ay : %+.1f \n\n", ay);
stop();
clrscrn();
printf(" Compute the moment of inertia Ix.\n\n");
printf(" (b (v(y)\n");
printf(" Ix = int( int( y**2 f(x,y) dx dy\n");
printf(" (a (u(y)\n\n");
printf(" Compute the moment of inertia Iy.\n\n");
printf(" (b (v(y)\n");
printf(" Iy = int( int( x**2 f(x,y) dx dy\n");
printf(" (a (u(y)\n\n");
printf(" The polar moment of inertia : \n\n");
printf(" I0 = Ix + Iy\n\n");
printf(" or directly.\n\n");
printf(" (b (v(y)\n");
printf(" I0 = int( int( (x**2 + y**2) f(x,y) dx dy\n");
printf(" (a (u(y)\n\n");
stop();
clrscrn();
printf(" Compute the moment of inertia Ix.\n\n");
printf(" (%.3f (%s\n", by,veq);
printf(" Ix = int( int( %s dx dy = %.3f\n", y2feq, Ix);
printf(" (%.3f (%s\n\n", ay,ueq);
printf(" Compute the moment of inertia Iy.\n\n");
printf(" (%.3f (%s\n", by,veq);
printf(" Iy = int( int( %s dx dy = %.3f\n", x2feq, Iy);
printf(" (%.3f (%s\n\n", ay,ueq);
printf(" The polar moment of inertia : \n\n");
printf(" I0 = Ix + Iy = %.3f\n\n",Ix+Iy);
printf(" or directly.\n\n");
printf(" (%.3f (%s\n", by,veq);
printf(" I0 = int( int( %s dx dy = %.3f\n", x2plsy2feq, I0);
printf(" (%.3f (%s\n\n", ay,ueq);
stop();
return 0;
}
/* ---------------------------------- */
/* ---------------------------------- */
Le moment d'inertie est une mesure de la résistance d'un objet à l'accélération angulaire. Le moment d'inertie polaire est une mesure de la résistance d'un objet à la torsion.
Exemple de sortie écran :
Find the polar moment of inertia of the lamina
that has the shape of the region bounded by the
graphs of the given equations.
y = 4, y = y**2, x = +2.0, x = -2.0,
and f(x,y) (the area mass density at (x,y))
f : (x,y)-> x
These give :
v : (y)-> 4
u : (y)-> y**2
by : +2.0
ay : -2.0
Press return to continue.
Exemple de sortie écran :
Compute the moment of inertia Ix.
(b (v(y)
Ix = int( int( y**2 f(x,y) dx dy
(a (u(y)
Compute the moment of inertia Iy.
(b (v(y)
Iy = int( int( x**2 f(x,y) dx dy
(a (u(y)
The polar moment of inertia :
I0 = Ix + Iy
or directly.
(b (v(y)
I0 = int( int( (x**2 + y**2) f(x,y) dx dy
(a (u(y)
Press return to continue.
Exemple de sortie écran :
Compute the moment of inertia Ix.
(2.000 (4
Ix = int( int( y**2 x dx dy = 24.380
(-2.000 (y**2
Compute the moment of inertia Iy.
(2.000 (4
Iy = int( int( x**2 x dx dy = 227.553
(-2.000 (y**2
The polar moment of inertia :
I0 = Ix + Iy = 251.933
or directly.
(2.000 (4
I0 = int( int( (x**2 + y**2) (x) dx dy = 251.933
(-2.000 (y**2
Press return to continue.