Page 15 - 6742
P. 15

2
                                            2
                      a n    2  l   O B    2, 688  0, 25  1, 806 m/s .
                               3
                        BO
                                   1
                          1
                Length of this vector on the accelerations polygon
                                  a n    1, 806
                                    BO
                            p a n    1    0, 059    30, 61mm.
                               3
                                     a
                We must solve these equations  graphically. First  of all, on
           the accelerations polygon, draw  the vector аn 2 from the point a.
                                           
           Further, draw line of action for  a  through the point n 2. This line
                                           BA
           is perpendicular to the link AB. Next, draw vector р n 3 from the
           pole р  and, then, draw line of action for  a    through the point n 3
                                                    BO
                                                      1
           and  perpendicular  to  the  link  O 1B.  These  two  lines  cross  in  the
           point b. Determine magnitudes of accelerations by the measuring
           of mentioned line segments on the accelerations polygon
                                                                2
                           a     n 2 b  a    68 0, 059  4, 012  m/s ,
                            BA
                                                                2
                           a   1    n 3 b a    58 0, 059   3, 422 m/s ,
                            BO
                                                               2
                           a    p a b a   65 0, 059  3, 835 m/s .
                             B
                Determine  acceleration  of  the  point  C  by  theorem  of
           similarity. Write down next proportions:
                     p a c    O 1 C   p  c   p   b  O 1 C    65  70    91mm.
                     p a b  O 1 B      a     a   O 1 B     50
                Let’s draw vector  p a c 91  mm on the accelerations polygon.
           This vector is continuing of the vector  p c. Then acceleration of
                                                   b
                                                   a
           the point C looks like:
                           a    p a c   a   91 0, 059  5, 369  m/s .
                                                                2
                            C
                Determine  acceleration  of  the  point  D  by  next  vector
           equation
                                                  
                                 a   a   a DC   a DC .
                                             n
                                        C
                                  D
                                          n
                Vector  of  acceleration  a DC    is  directed  along  the  link  CD
           from the point D till point C. Magnitude of the acceleration
                                                               2
                           a n DC    2  l   CD   0, 32  0, 3  0, 03 m/s .
                                               2
                                   4
                Vector’s length on the accelerations polygon
                                  a n    0, 03
                            cn     DC          0, 52 mm.
                               4
                                        0, 059
                                    a
                Let’s solve the vector equation graphically. Draw vector cn 4
           from the point c on the accelerations polygon. Further, draw line of
                                          14
   10   11   12   13   14   15   16   17   18   19   20