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ramyani chakrabarty (3105)

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First, let us consider the system m1
          
The forces acting on it are :
                      1. wt m1g vertically downward.
                      2.tension T  vertically upward.
acceln is upwards.
eqn: T- m1g=m1a
       T-g=a        ---------------------------(1)
forces acting on the pulley are:

                   1. tension T  vertically upwards
                    2.tension 2T1 vertically downward
equn: 2T1-T=0 ----------------------------(2)

system  m3
    forces: 1. tension T1 vertically upwards
               2. m3g vertically downward
acceln is (a + a1) downward  where a1 is the acceln with wich m3 wud fall in the absence of m1
  equn;  m3g-T1=m3(a + a1)
            3g-T1=3(a + a1)  -------------------------(3)

system m2
        forces:
                 1. tension T1 vertically upwards
               2. m2g vertically downward
                 
acceln is (a -a1) downward  where a1 is the acceln with wich m2wud rise in the absence of m1.
           equn: m2g- T1=m2(a -a1)
                   2g-T1=2(a -a1) ---------------------------(4)
 these are the equns. solving u get

a=19g/29
a+a1=21g/29
a-a1=17g/29  which r the accelns of m1, m3 and m2


NIT silchar electrical engineering
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