Two masses of 5 kg and 3 kg are suspended with the help of massless inextensible strings as shown in figure. The whole system is going upwards with an acceleration of 2 m $s^{- 2}$ . The tensions $T_{1}$ and $T_{2}$ are respectively (Take g = 10 $m s^{- 2}$ )

Question

Smart Achievers · Accepted Answer

(1)

The free body diagram of 3 kg block is as shown in the figure (a).

The equation of motion of 3 kg block is

$T_{2} - 3 g = 3 a$

$T_{2} = 3 (a + g) = 3 (2 + 10) = 36 N$ $\dots (i)$

The free body diagram of 5 kg is as shown in the figure (b).

The equation of motion of 5 kg block is

$T_{1} - T_{2} - 5 g = 5 a$

$T_{1} = 5 (a + g) + T_{2}$

$= 5 (2 + 10) + 36 = 96 N$ $(Using (i))$

Solution

Q.
Two masses of 5 kg and 3 kg are suspended with the help of massless inextensible strings as shown in figure. The whole system is going upwards with an acceleration of 2 m $s^{- 2}$ . The tensions $T_{1}$ and $T_{2}$ are respectively (Take g = 10 $m s^{- 2}$ )

1 96 N, 36 N

2 36 N, 96 N

3 96 N, 96 N

4 36 N, 36 N

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