First slide

Constraints

Question

With reference to fig. showing a light inextensible showing passing over a fixed frictionless pulley, the tension $T_{3}$ is

Moderate

A

24 .5 N
B

29.4 N
C

18.6 N
D

86.6 N

Solution

We have the following equations :
$\begin{aligned} T_{1} & = T_{2} . . . (1) \\ T_{1} â 5 g & = 5 a . . . (2) \\ T_{3} + 4 g â T_{2} & = 4 a . . . (3) \\ 3 g â T_{3} & = 3 a . . . (4) \\ Solving, we get T_{3} & = 24 â 5 N \end{aligned}$

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