Question

simple pendulum has a length L and mass of Bob M Bob is given a charge q coulomb pendulum is suspended in a uniform electric field of strength e as shown in fig then calculate the time period of oscillation when Bob is slightly displace from its mean position​

Answer 1

Question:

simple pendulum has a length L and mass of Bob M Bob is given a charge q coulomb pendulum is suspended in a uniform electric field of strength e as shown in fig then calculate the time period of oscillation when Bob is slightly displace from its mean position​.

Solution:

Time period of simple pendulum is given as = 2π√(l / geff)

where,  geff = [√( m²g²) + √(q²E²) ] / m = √[g+(qE/m)²]

$T = \sqrt{\dfrac{l}{\sqrt{g^2 + \left(\dfrac{qE}{m}\right)^2}}}$