In the figure, a smooth pulley of negligible weight is suspended by a spring balance. Masses of 1 text kg and 5 text kg are attached to the opposite ends of a string passing over the pulley and move with some acceleration. During their motion, the spring balance reads a weight of

Question

In the figure, a smooth pulley of negligible weight is suspended by a spring balance. Masses of 1 text kg and 5 text kg are attached to the opposite ends of a string passing over the pulley and move with some acceleration. During their motion, the spring balance reads a weight of <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-awrn7mp0lbkfni3f.jpg" /> (A) 6 textkgf (B) Less than 6 textkgf (C) More than 6 textkgf (D) May be more or less than 6 textkgf

Tardigrade Admin · Accepted Answer

Spring balance reading is equal to 2T tension in the string =(2 m1 m2/m1 + m2)=(2 × 5 × 1/6)=(5/3) Kgf reading of spring balance= 2T=2× (5/3)=(10/3) Kgf

Q. In the figure, a smooth pulley of negligible weight is suspended by a spring balance. Masses of $1 kg$ and $5 kg$ are attached to the opposite ends of a string passing over the pulley and move with some acceleration. During their motion, the spring balance reads a weight of

$6 kgf$

Less than $6 kgf$

More than $6 kgf$

May be more or less than $6 kgf$

Spring balance reading is equal to $2 T$
tension in the string $= \frac{2 m _{1} m _{2}}{m _{1} + m _{2}} = \frac{2 \times 5 \times 1}{6} = \frac{5}{3}$ $K g f$
reading of spring balance= $2 T = 2 \times \frac{5}{3} = \frac{10}{3}$ $K g f$

Q. In the figure, a smooth pulley of negligible weight is suspended by a spring balance. Masses of 1 kg and 5 kg are attached to the opposite ends of a string passing over the pulley and move with some acceleration. During their motion, the spring balance reads a weight of

6kgf

Less than 6kgf

More than 6kgf

May be more or less than 6kgf