A small sphere carrying a charge of q with mass m is suspendedfrom point A by a

Question

A small sphere carrying a charge of q with mass m is suspendedfrom point A by a massless thread of length L, as shown in thefigure. A second sphere carrying a charge of 2q with mass M issuspended from a fixed rod from point B. The distance between A andB is equal to d. At equilibrium the two spheres lie in the samehorizontal plane and the thread makes an angle theta with thevertical.

Question: Find an express on for the mass m in terms of q, L, theta, d,g, and k (coulomb constant)
Find an expression for the tension T in the thread.

Explanation / Answer

m is at equilibrium so the sum of gravity force and electric forcehave the direction of the string. so tan()=Fe/mg       ,         m=Fe/tan()g Fe=k2q^2/(d+Lsin)^2 so m=k2q^2/(tan()g(d+Lsin)^2) The tension of the string T is equal to the sum of mg and Fe so T=Fe/sin=k2q^2/sin(d+Lsin)^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.