Exam

AIIMS

Year

2016

Subject

Physics

Chapter

Laws of Motion

AIIMS 2016 · Physics · Laws of Motion

Consider the system shown in figure. The pulley and the string are...

Consider the system shown in figure. The pulley and the string are light and all the surfaces are frictionless. The tension in the string is (take $g=10 \mathrm{~m} \mathrm{~s}^{-2}$ )

Step-by-step solution

If $a$ is acceleration of $m_2$, then from fig.

From (i), $m_2 g-T=m_2 a$$\begin{aligned} & 1 g-m_1 a=m_2 a \\ & 1 g=\left(m_1+m_2\right) a=(1+1) a \\ & a=\frac{g}{2}=\frac{10}{2}=5 \mathrm{~m} \mathrm{~s}^{-2} \\ & \therefore \quad T=m_1 a=1 \times 5=5 \mathrm{~N}\end{aligned}$$$