Question

A simple pendulum length l is suspended from a rigid support. What minimum horizontal velocity should it be given so that bob reaches the height of support​

Answer 1

Answer:

To complete the circle , at the highest position tension in string is zero .now we proceed

⟹mg=

l

mv

2

at the highest position

⟹v

2

=gl

now at the lowest position

apply conservation of energy

⟹

2

1

mv

2

+mg.2l=

2

1

mv

′2

⟹v

′2

=5gl⟹v

′

=

5gl

where v'is velocity of bob at lowest position which should be given to the bob to complete the circle