Question

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

• A. 96 N, 36 N
• B. 36 N, 96 N
• C. 96 N, 96 N
• D. 36 N, 36 N

Answer 1

Answer: (A)

96 N, 36 N

Answer 2

The free body diagram of 3 kg block is shown

In the fig (1)

The equation of motion of 3 kg block is

$T _ { 2 } - 3 g = 3 a$

$T _ { 2 } - 3 ( a + g$

$= 3 ( 2 + 10 ) = 36 \mathrm {~N}$ ….. (i)

The free body diagram of 5 kg is shown as in the fig (2)

The free body diagram of 5 kg block is

$T _ { 1 } - T _ { 2 } - 5 g = 5 a$

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

$= 5 ( 2 + 10 ) 36$

$= 96 \mathrm {~N}$