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Question: Two weights w<sub>1</sub> and w<sub>2</sub> are suspended to the two ends of a string passing over a...

Two weights w1 and w2 are suspended to the two ends of a string passing over a smooth pulley. If the pulley is pulled up with g then the tension in the string is

A

4w1w2w1+w2\frac { 4 w _ { 1 } w _ { 2 } } { w _ { 1 } + w _ { 2 } }

B

2w1w2w1+w2\frac { 2 w _ { 1 } w _ { 2 } } { w _ { 1 } + w _ { 2 } }

C

w1w2w1+w2\frac { \mathrm { w } _ { 1 } \mathrm { w } _ { 2 } } { \mathrm { w } _ { 1 } + \mathrm { w } _ { 2 } }

D

6w1w2w1+w2\frac { 6 w _ { 1 } w _ { 2 } } { w _ { 1 } + w _ { 2 } }

Answer

4w1w2w1+w2\frac { 4 w _ { 1 } w _ { 2 } } { w _ { 1 } + w _ { 2 } }

Explanation

Solution

See short cut rule 5 and put a' = g.