8.1
-Example 4: It is determined that a 50-pound weight placed 15º from rotor arm No. 1 (at 0º) will balance a rotor. However, the closest locations for installing weights are at 0º and 60º (rotor arm No. 2). Therefore, two weights must be installed at 0º and 60º that will have the resultant effect of a 50-pound weight at 15º.
8.2
- The 50-pound weight at 15º is scaled as the vector OE (fig. 7). To reduce OE into a pair of vectors located at 0º and 60º (fig. 7) construct a parallelogram with sides at 0º and 60º and OE as the diagonal at 15º. Beginning at the head of given vector OE, draw a line parallel to the 0º line
(rotor arm No. 1) and extend it to intersect the 60º line (rotor arm No. 2). This intersection is X. Also, beginning at the head of OE, draw a line parallel to the 60º line and extend it to intersect the 0º line. This intersection is Y. The pair of vectors OX and OY are components to the given vector OE. Therefore, the rotor should balance by placing a weight equal in magnitude to OX at 60º and a weight equal in magnitude to OY at 0º. By scaling, OX and OY are 15 and 42 pounds, respectively.
9.
5
8.1-Example 4: It is determined that a 50-pound weight placed 15º from rotor arm No. 1 (at 0º) will balance a rotor. However, the closest locations for installing weights are at 0º and 60º (rotor arm No. 2). Therefore, two weights must be installed at 0º and 60º that will have the resultant effect of a 50-pound weight at 15º.8.2- The 50-pound weight at 15º is scaled as the vector OE (fig. 7). To reduce OE into a pair of vectors located at 0º and 60º (fig. 7) construct a parallelogram with sides at 0º and 60º and OE as the diagonal at 15º. Beginning at the head of given vector OE, draw a line parallel to the 0º line(rotor arm No. 1) and extend it to intersect the 60º line (rotor arm No. 2). This intersection is X. Also, beginning at the head of OE, draw a line parallel to the 60º line and extend it to intersect the 0º line. This intersection is Y. The pair of vectors OX and OY are components to the given vector OE. Therefore, the rotor should balance by placing a weight equal in magnitude to OX at 60º and a weight equal in magnitude to OY at 0º. By scaling, OX and OY are 15 and 42 pounds, respectively.9.5
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