"AST1CAL3 EQUATION VARIABLE","10-21-1993","21:38:47"
"OBJECT_DISTANCE=S[O]+(1-SIGN(ABS(S[O])))*S[I]*-.5*R/(S[I]+R/2) IMAGE_DISTANCE=S[I]+(1-SIGN(ABS(S[I])))*S[O]*-.5*R/(S[O]+R/2) RADIUS=R+(1-SIGN(ABS(R)))*-2*S[O]*S[I]/(S[I]+S[O]+1E-30) FOCUS=-RADIUS/2 MAGNIFICATION=-IMAGE_DISTANCE/(OBJECT_DISTANCE+1E-30)"
"SPHERICAL REFRACTING MIRRORS, IMAGE vs MAGNIFICATION.            A diagram of the Problem is shown below. Mirror is represented by 's'.                                  s                                                                           ú oú                    S = source object                                ú  ø    s ø                    V = vertex of sphere                      ú  ø          s   ø P     C           P = image (between F and C)       S úøú ú ú ú ú ú ú ú úoú ú úøo ú ú o           R = 2 * F                         |                   V|s     |  úø                                               |                    | s   ú|ø  R      S[O] = distance S to vertex              |                    |  sø  |         S[I] = distance vertex to image           |-------S[O]---------|-S[I]-|         C = center of sphere R = radius curvat.                                        (c) Copyright PCSCC, Inc., 1993            Sign Convention: S[O] + means its left of vertex V     focus + means concave                     S[I] + means its left of vertex V     focus - means convex                      R    + means center C is right of V                            *** Answer(s) to problem ***                                                    Solve for FOCUS (focal length) by approximation. Set R=10 (a guess). Set S[I]=0 and S[O]=150.  Move cursor to R. Type S. For variable, type (end esc) FOCUS     (enter). For value, type 400 (enter) and for range, use default, type (enter).  R=-800 ( C is left of V, concave) and S[I]=-240 to right of V, virtual, erect   and magnified. ||An eraser 5 cm tall sits 150 cm in front of a concave mirror offocal length 400 cm. (a) Describe the image.                                          Type comma key to see answer. Type (F2) to return to application file."
8
150,0,""
-4.838709677419355,0,""
10,0,""
-5,0,""
3.225806451612903D-02,0,""
150,0,""
10,0,""
0,0,""
1
0
0