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in Physics by (53.6k points)

Two masses m1 and m2 are connected to ends of string passing over a pulley. Find tension and acceleration associated.

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Assuming mass mt moves down with an acceleration ‘a’

m1g -T = m1a1 ….. (1)

T – m2 g = m2 a1..…. (2)

(1) + (2)

m1g – m2g = (m1 + m2) a1

⇒ a1\((\frac {m_1-m_2}{m_1+m_2})g\)

& T = m1g – m\(((\frac {m_1-m_2}{m_1+m_2})g)\)

⇒ T = m1\([1-\frac {m_1-m_2}{m_1+m_2}]\)

T = \(\frac {2m_1-m_2g}{m_1+m_2}\).

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