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Laws Of Motion

Question
CBSEENPH11016620

Two bodies of masses m1 and m2 are connected by massless rope and pulled by force F acting on mass m1. What is the acceleration of system and tension in the string?

Solution
Let 'a' be the acceleration of system and 'T' be the tension in the string.

∴  Equations of dynamic of mass m1 and m2 are
                           F - T = m1a                       ...(1)
                                 T = m2a                      ...(2)
Solving (1) and (2), we have,
                      space space straight a equals fraction numerator straight F over denominator straight m subscript 1 plus straight m subscript 2 end fraction
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