High School

A 40 kg pendulum bob swings on a 2-m-long string. the bob's speed is 3.0 m/s when the string makes a 159 angle with vertical and the bob is moving toward the bottom of the arc what is the magnitude of the tension in the string at this instant?

Answer :

To find the tension in the string of a swinging pendulum, analyze the forces acting on the bob using Newton's laws and trigonometry.

The tension in the string at that instant can be calculated using the forces acting on the pendulum bob. The two main forces are the force of gravity (weight of the bob) acting downward and the tension in the string.

At the maximum angle reached by the pendulum, the force exerted on the bob by the string is equal to the sum of the component of the gravitational force parallel to the string and the centripetal force necessary to keep the bob moving in a circular path.

Using Newton's laws and trigonometry, you can calculate the magnitude of the tension in the string at the given conditions.