Question

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 m s)

• A. 0 N
• B. 1 N
• C. 2 N
• D. 5 N

Answer 1

Answer: (D)

5 N

Answer 2

If a is acceleration of m, then from fig. $m_{2}g-T=m_{2}a\quad\quad\quad\quad\quad\quad\quad...\left(i\right)$ and T $=m_{1}a=1a\quad\quad\quad\quad\quad\quad...\left(ii\right)$ From $\left(i\right), m_{2} g - T = m_{2}a$ 1 g - m$_{1}$a = m$_{2}$a 1 g = $\left(m_{1} + m_{2}\right)a = \left(1 + 1\right)a$ $a=\frac{g}{2}=\frac{10}{2}=5m s^{-2}$ $\therefore\quad T=m_{1}a=1 \times$ 5 = 5 N