Laws Of Motion Question 12

Question 12 - 2024 (30 Jan Shift 2)

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of $80 N$ as shown in figure

$m A$ B C
$5 kg$ $T _1$ $3 kg$ $I _2$ $2 kg$ $=80$

The tensions $T _1$ and $T _2$ in the string are respectively:

(1) $40 N, 64 N$

(2) $60 N, 80 N$

(3) $88 N, 96 N$

(4) $80 N, 100 N$

Show Answer

Answer: (1)

Solution:

$a _A=a _B=a _C=\frac{F}{5+3+2}=\frac{80}{10}=8 m / s^{2}$

A

$T _1=5 \times 8=40 \xrightarrow{3} \xrightarrow{T _1} \xrightarrow{T _2}$

$T _2-T _1=3 \times 8 \Rightarrow T _2=64$