**Q. A simple pendulum with length L and mass M of the bob is vibrating with amplitude a. Then the maximum tension in the string is**

**Solution**

For bob to move in a circular path, the tension is maximum at the lower point. (i.e. at mean position). The maximum tension on the string can be calculated as follow:

But (the length of the pendulum)

(1)

But which means since, amplitude is ‘a’ given by a question.

And in SHM,

So,

(2)

From equation 1 and 2, we can write:

**Ans:** (b)