Question
At what point along the path of simple pendulum, the tension in the string is maximum? Explain.
Solution
Tension in the string at any point is,
where,
is the angle that the string makes with vertical and v is the speed of bob.
At the lowest point, cos θ = 1 i.e. maximum.
Also, the speed of bob is maximum at the lowest point.
Therefore, maximum tension is at the lowest point which is the mean position.
where,
is the angle that the string makes with vertical and v is the speed of bob. At the lowest point, cos θ = 1 i.e. maximum.
Also, the speed of bob is maximum at the lowest point.
Therefore, maximum tension is at the lowest point which is the mean position.
