Finding charges on an equilibrium position

Click For Summary
SUMMARY

The discussion focuses on calculating the charge of a ball in equilibrium under an electric field of E = (3.00i + 5.00j) x 10^5 N/C and a mass of 1 gram. The equilibrium condition requires that the net force acting on the ball is zero, leading to the equation T cos(37) - mg = 0. Participants emphasize the importance of resolving forces into horizontal and vertical components to solve for the charge and tension in the string.

PREREQUISITES
  • Understanding of electric fields and forces (E = Fe/q0)
  • Knowledge of trigonometric functions in physics (cosine function)
  • Basic principles of equilibrium in mechanics
  • Ability to resolve forces into components
NEXT STEPS
  • Calculate the charge using the equation Fe = q0E
  • Explore the concept of tension in strings under various forces
  • Study the application of Newton's laws in equilibrium problems
  • Learn about vector decomposition in physics
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and mechanics, as well as educators seeking to enhance their understanding of equilibrium problems involving electric fields.

-EquinoX-
Messages
561
Reaction score
1

Homework Statement



http://img214.imageshack.us/img214/4430/fieldoc3.th.jpg

E = (3.00i+5.00j) x 10^5 N/C the ball is at equilibrium at 37 degrees, the ball has a mass of 1 gram. What is the charge of the ball? What is the tension of the string?

Homework Equations


E = Fe/q0

The Attempt at a Solution



As far as I know to solve for this problem Fe must be equal to 0?

Or we should first resolve the forces acting on the ball, which is

T cos(37) - mg = 0.. am I right? I don't know what's next
 
Last edited by a moderator:
Physics news on Phys.org
So in this type of problems, you always treat the horizontal and vertical components separately. Or, in this case, you would use components along and perpendicular to the string.

Let's start by identifying all the forces working perpendicular to the string.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
1
Views
1K