Math, asked by chaithra2449, 1 year ago

Find the acceleration in this free body diagram

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Answered by TPS

$\text{Total driving force = }m_1g \\ \\ \text{Total resisting force = }m_3g \\ \\ \text{net force = }(m_1 - m_3)g$

$\text{Total mass = }m_1 + m_2 + m_3 \\ \\ \text{accelertion = a} \\ \\ a = \frac{net \: force}{total \: mass} = \frac{(m_1 - m_3)g}{m_1 + m_2 + m_3}$

chaithra2449: Thank you..

TPS: welcome:)

chaithra2449: ;-)

TPS: I took the easy way.. you can also do it by taking tension T1 on left string and T2 in right string. You will have 3 equations from the motion of 3 masses. the variables will be T1, T2 and a. You can get a by solving the equations.

TPS: You might have similar problems in book.

chaithra2449: Yup... Thanks

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