C6029 In the above poble Two masses 40kg and 30kg are connected by a weightless string passing over a frictionless pulley as shown in the following figure. The tension in the string will be:A) 188N B)900/7N C) 288N D)1200/7N
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For m
1
m
1
gsinθ−T=m
1
a
And for m
2
T−m
2
gsinθ=m
2
a
Adding the above equations-
(m
1
−m
2
)gsinθ=(m
1
+m
2
)a
⟹a=
m
1
+m
2
(m
1
−m
2
)gsinθ
⟹a=
60
20×9.8×0.5
=1.63m/s
2
T=m
2
gsinθ+m
2
a=20×9.8×0.5+20×1.63
⟹T=130.66N
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