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 Mechanism relates to plane hinged (lever) mechanisms and can be used for cranes design | ||
Balanced hinge-lever mechanism
The lever is balanced if the vector sum of moments of forces acting on it equals zero.
Pa - Qb = 0,
If two forces P and Q are applied to the lever on one side from fulcrum then they must be directed to different sides for their balance (see Fig. 1b).
     ![Mechanism 1 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich1.gif) 
      ![Mechanism 1b [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich2.gif) 
Fig. 1a Fig. 1b
![Mechanism 2 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich3.gif) 
Fig. 2
![Mechanism 3 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich4.gif) 
Fig. 3
![Alpha [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/alpha.jpg) with the horizontal. Link 2 forms angle
 with the horizontal. Link 2 forms angle ![Beta [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/beta.jpg) with the horizontal. The sum of the angles is 90o (
 with the horizontal. The sum of the angles is 90o (![Alpha [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/alpha.jpg) +
+![Beta [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/beta.jpg) = of 90o). These conditions provide a balance of forces P and Q, with their equality despite the fact that they are directed to one side and are applied on the same side of the fulcrum.
= of 90o). These conditions provide a balance of forces P and Q, with their equality despite the fact that they are directed to one side and are applied on the same side of the fulcrum. 
   ![Mechanism 4 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich5.gif) 
      ![Mechanism 5 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich6.gif) 
Fig. 4 Fig. 5
![Mechanism 6 [Владимир Суханов]](/img/s/suhanow_w_n/mehrichen/mehrich7.gif) 
Fig 6
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