(a) A physics lab instructor is working on a new demonstration. She attaches two identical iron spheres with mass m = 0.220 g to strings of length L as shown in the figure. Both spheres have the same charge of 7.60 nC, and are in static equilibrium when θ = 4.50°. What is L (in m)? Assume the strings are massless.??? m(b) What If? The charge on both spheres is increased until each string makes an angle of θ = 9.00° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case? ????? nC ### Double Pendulum Illustration#### Description:The image illustrates a simple physical system commonly known as a Double Pendulum. In this setup, two equal masses are suspended from a single pivot point.#### Components:1. **Masses (m)**: - Two identical masses labeled as "m" are attached to the ends of the pendulum strings.2. **String Length (L)**: - The length of the strings from the pivot point to each mass is designated as "L". Both strings are of equal length.3. **Angle (θ)**: - The angle between the left string and the vertical line from the pivot point is represented by the Greek letter "θ" (theta).#### Description Details:- **Pivot Point**: The system is suspended from a common pivot point at the top.- **Symmetry**: Both strings are symmetrical with respect to the pivot point when at rest.- **Angular Displacement**: The angle θ signifies the angular displacement of the left pendulum from the equilibrium (vertical) position.This simple setup of a double pendulum can be used to study various principles of physics, including harmonic motion, angular momentum, and dynamics in a more advanced setting of chaotic motion.

The below figure represents the free body diagram of two identical iron spheres .

Answered: (a) A physics lab instructor is working…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(a) A physics lab instructor is working on a new demonstration. She attaches two identical iron spheres with mass m = 0.220 g to strings of length L as shown in the figure.

Both spheres have the same charge of 7.60 nC, and are in static equilibrium when θ = 4.50°. What is L (in m)? Assume the strings are massless.

??? m

(b) What If? The charge on both spheres is increased until each string makes an angle of θ = 9.00° with the vertical. If both spheres have the same electric charge, what is the charge (in nC) on each sphere in this case?

????? nC

### Double Pendulum Illustration

#### Description:
The image illustrates a simple physical system commonly known as a Double Pendulum. In this setup, two equal masses are suspended from a single pivot point.

#### Components:
1. **Masses (m)**:
- Two identical masses labeled as "m" are attached to the ends of the pendulum strings.

2. **String Length (L)**:
- The length of the strings from the pivot point to each mass is designated as "L". Both strings are of equal length.

3. **Angle (θ)**:
- The angle between the left string and the vertical line from the pivot point is represented by the Greek letter "θ" (theta).

#### Description Details:
- **Pivot Point**: The system is suspended from a common pivot point at the top.
- **Symmetry**: Both strings are symmetrical with respect to the pivot point when at rest.
- **Angular Displacement**: The angle θ signifies the angular displacement of the left pendulum from the equilibrium (vertical) position.

This simple setup of a double pendulum can be used to study various principles of physics, including harmonic motion, angular momentum, and dynamics in a more advanced setting of chaotic motion.

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