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  4. A small sphere of mass m is suspended by a thread of length l . It is raised up to the height of suspension with thread fully stretched and released. Then the maximum tension in the thread will be <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-x9e08d3txzjm.png />

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Q. A small sphere of mass $m$ is suspended by a thread of length $l$ . It is raised up to the height of suspension with thread fully stretched and released. Then the maximum tension in the thread will be



Question

NTA AbhyasNTA Abhyas 2020Work, Energy and Power

Solution:

Applying energy conservation
$ \begin{array}{l} mgl =\frac{1}{2} mv ^2 \\ v ^2=2 gl \end{array} $
Step 2: Calculate tension at bottom most point
$ \begin{array}{l} T - mg =\frac{ mv ^2}{1} \\ T - mg =\frac{ m 2 gl }{ l } \\ T =3 mg \end{array} $