what is work done by force of tension in string of a pendulum
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The reason is not complicated and that's why many textbook simply skip the calculation. The work done is defined as
W=∫T⃗ ⋅ds⃗ W=∫T→⋅ds→
And not that the tension on a simple pendulum is always perpendicular to the displacement vector. Therefore, the dot product is 0 and thus the line integral is 0.
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