Question

Three blocks of mass $2\text{kg},3\text{kg}$ and $5\text{kg}$ are tied with three identical strings. The blocks are free to rotate in a vertical circle. The minimum velocity given to the blocks to complete the vertical circle is $v_1,v_2$ and $v_3$ respectively then

• A. $v_1<v_2<v_3$
• B. $v_1>v_2>v_3$
• C. $v_1>v_3>v_2$
• D. $v_1=v_2=v_3$

Answer 1

The correct option is D $v_1=v_2=v_3$

The minimum velocity required by a block to perform the vertical circle is given by $v_{min}\ge \sqrt{5gR}$
Since $v_{min}$ does not depend on the mass of the block.
Hence, option $\left(d\right)$ $v_1=v_2=v_3$ is correct.