Pulley question(Newton's Laws)
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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 |
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NIT silchar electrical engineering |
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