Analyzing the Tension Force in a Pendulum Swing

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The tension force in a pendulum does no work on the bob as it acts perpendicular to the direction of displacement throughout the swing. The work done by a force is calculated as the product of the force and the displacement in the direction of the force, which is zero when the angle between them is 90 degrees. The tension force always acts towards the pivot point, while the pendulum bob moves along a circular path. Therefore, regardless of the direction of the swing, the work done by tension remains zero. Understanding these dynamics is crucial for analyzing pendulum motion accurately.
Salazar
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"A pendulum bob swings back and forth on a circular path. How much work does the tension force do on the bob?"

That is a question I have. What is the answer symbolically?
 
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What do you think the answer is and why?
 
I think it is the product of the tension force, T, and the displacement of the direction it is going, d. T*d, but I am not certain for when it goes in reverse (or forwards). So would it be zero?
 
Which way does the tension act? Which way does the pendulum move? (What's the angle between the force and the displacement?)
 

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