two identical pith balls ,each carrying a charge q,are suspended from a common point by two strings of length l each.Find the mass of each ball if angle between two balls at equilibrium is 2theta

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Two identical pith balls, each carrying a charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is $2 θ$ in equilibrium.

Q. Two identical pith balls, each of mass

m

and carrying identical charges

q

each, are suspended from a common point by two strings of equal length

l

. The angle between the string is

2 θ

, and initially changes at a rage

∣ ∣ ∣ \frac{d θ}{d t} ∣ ∣ ∣ = ω_{0}

, due to leakage of charge at a very slow rate. Find the rate of leakage of charge (i.e.

∣ ∣ ∣ \frac{d q}{d t} ∣ ∣ ∣

Q. Two small spheres, each with a mass of 20 g, are suspended from a common point by two insulating strings of length 40 cm each. The spheres are identically charged and the separation between the balls at equilibrium is found to be 4 cm. Find the charge on each sphere.

Two small spheres, each having a mass of 20 g, are suspended from a common point by two insultating strings of length 40 cm each. The spehres are identically charged and the separation between the balls at equilibrium is found to be 4 cm. Find the charge on each spehere.

Q. Two identical pith balls are charged by rubbing against each other. They are suspended from a horizontal rod through two strings of length

20 c m

each, the separation between the suspension points being

5 c m

. In equilibrium, the separation between the balls is

3 c m

. Find the mass of each ball and the tension in the strings. (The charge on each ball has a magnitude

2.0 \times 10^{- 8} C

)

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