First slide

Connected bodies

Question

In the diagram shown in figure, string is massless and pulley is smooth, then which of the following statement (s) is/are correct?
I. Net force on 1 kg block is $\frac{10}{3} N$
II. Net force on both the blocks will be same.

Moderate

A

Only I
B

Only II
C

Both I and II
D

None of these

Solution

$F_{net} = m a$
For 1 kg mass $\begin{matrix} ↑ T \\ 1 k g \\ ↓ g \end{matrix}$ $↑ a \Rightarrow T - g = a$
For 2 kg mass $\begin{matrix} ↑ T \\ 2 k g \\ ↓ g \end{matrix}$ $↓ a \Rightarrow T - g = a$
Solving, we get $a = \frac{10}{3} m / s^{2}$
Force on 1 kg, $F_{1} = \frac{10}{3} N and on 2 kg, F_{2} = \frac{20}{3} N$
Hence, Statement I is correct while Statement II is incorrect.

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