Loading....
Coupon Accepted Successfully!

 

Pulley Constraint

In cases where pulley moves along with the blocks connected on both sides, we can say the displacement of the pulley is the average of the displacement on both sides of the pulley (Fig. 7).
 
33884.png
Fig. 7
 
If one end of the string is connected with fixed end, the displacement of that end can be considered as zero.

Applications of the pulley constraints

Case I
  • As pulley 1 is fixed, hence the displacement should be zero (Fig. 8). If the displacement of block A is xA (down), then the displacement of other end should be xA (up).
     
    xp1 = 0 35512.png
     
    33878.png
     
    Fig. 8
  • Displacement of block B = Displacement of pulley 2
     
    33866.png
     
    33860.png
Case II
  • As pulley 1 is fixed, 33853.png
     
    If block A moves up by xA, pulley 2 should move xA in downward direction.
  • For pulley 2
     
    33847.png
     
    33841.png
     
    36115.png
     
    Fig. 9




Test Your Skills Now!
Take a Quiz now
Reviewer Name