Question

As shown in the figure, the ratio of \(T_1\) and \(T_2\) is 

• A. \(\frac{5}{3}\)
• B. \(\frac{4}{3}\)
• C. \(\frac{10}{3}\)
• D. \(\frac{6}{3}\)

Answer 1

The Correct Option is B

Concept: Use equilibrium of forces and tension relations in a system of connected masses. Step 1: Understand the system Two \(4\,\text{kg}\) masses are connected over a pulley and a \(6\,\text{kg}\) mass hangs below through another string. Let tensions be: \[ T_1 \text{ (upper string)}, \quad T_2 \text{ (lower string)} \] Step 2: For the lower mass (6 kg) \[ T_2 = 6g \] Step 3: For the system of two 4 kg masses Each mass experiences: \[ T_1 - T_2 = 4g \] Thus \[ T_1 = T_2 + 4g \] \[ T_1 = 6g + 4g = 10g \] Step 4: Ratio \[ \frac{T_1}{T_2}=\frac{10g}{6g} \] \[ =\frac{10}{6}=\frac{4}{3} \]