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Two weights w(1) and w(2) are suspended ...

Two weights `w_(1)` and `w_(2)` are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g , the tension in the string will be

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Tension =
`(2m_(1)m_(2))/(m_(1)+m_(2))(g+a)=(2(w_(1))/(g)(w_(2))/(g))/((w_(1))/(g)+(w_(2))/(g))(g+g)=(4w_(1)w_(2))/(w_(1)+w_(2))`
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