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Chapter 6: Problem 5

A pendulum bob swings back and forth on the end of a string, describing a circular arc. Does the tension force in the string do any work?

Short Answer

Expert verified
No, the tension force in the string does not do any work because it acts perpendicular to the direction of motion of the pendulum bob, and hence the work done is zero.

Step by step solution

01

Understand the concept of work

In physics, work done is the product of the force applied, the displacement, and the cosine of the angle between them. It is represented mathematically as: Work done = Force x Displacement x cos(胃).
02

Apply the concept of work to the pendulum

In a pendulum bob, the tension in the string provides the force, and when the pendulum swings, it describes a displacement. However, the tension force is always directed towards the centre of the arc, which is perpendicular to the displacement of the bob.
03

Calculate the value of cos(胃)

The cosine of the angle between the force and displacement is important as it determines whether work is done or not. Now, when force is perpendicular to displacement, the angle 胃 is 90掳. Therefore, cos(90掳) = 0.
04

Find the work done

Substitute the value of cos(胃) =0 in the formula of work done. Therefore, Work done = Force x Displacement x cos(胃) = Force x Displacement x 0 = 0. Hence the work done by tension force in pendulum bob is 0.

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