**Problem 6: Charged Particles and Force Balance**Two identical charged particles of mass 70 grams are at the ends of strings with the same length \( \ell = 10 \) cm, attached to the ceiling. The charged particles repel each other, as illustrated in the sketch below:[Illustration: Two strings meeting at the ceiling, extending downward at an angle, with repelling charged particles at the ends.]**Details:**- **Angle Between Strings:** \[ \theta = 20^\circ \]- **Task:** Use force analysis to derive equations for the balance of forces along both horizontal and vertical directions.- **Symbols:** - \( FG \): Gravitational force magnitude - \( FE \): Electric force magnitude**Instructions:**1. **Determine Forces:** - Input the symbol in the first answer box (\( F_{Tx} \)) for the force that balances the tension along the \( x \)-direction. - Input the symbol in the second answer box (\( F_{Ty} \)) for the force that balances the tension along the \( y \)-direction.2. **Hint:** - Work symbolically without using numbers. - Draw a free body diagram for one charged particle. - Include three forces: gravitational, electric, and string tension. - Decompose the tension into components to identify those balancing gravity and the electric force.**Answer Boxes:**- \( F_{Tx} = \) [Input Box] - \( F_{Ty} = \) [Input Box] *(Note: Not yet correct, tries 6/18)*This problem is designed to help you understand the forces acting on charged particles and the importance of force decomposition in solving physics problems.

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