Two similarly charged identical ping pong balls are suspended from the common support with the help of two threads.Calculate angle between the two threads and also calculate the tension in two strings.
To calculate the angle between the two threads, we'll start by considering the forces acting on each ping pong ball.
Since the ping pong balls are similarly charged, they will repel each other. Let's call this repulsive force as Fr. The weight of each ping pong ball can be represented as mg, where m is the mass of the ball and g is the acceleration due to gravity.
Now, let's draw a free-body diagram for one of the ping pong balls:
```
------
\
\
Fr ------ \ T
\
mg
```
Here, T represents the tension in the thread. The tension in both the threads are the same since the balls are identical and the threads are identical as well.
Now, we can resolve the vertical and horizontal components of the forces:
Vertical component:
∑Fy = T - mg = 0
T = mg
Horizontal component:
∑Fx = Fr
Since we have the vertical and horizontal forces, we can calculate the angle between the two threads using trigonometry.
tanθ = ∑Fx / ∑Fy
tanθ = Fr / T
θ = arctan(Fr / T)
To calculate the tension in the threads, we can substitute T = mg into the equation T = mg and solve for T.
Therefore, the tension in the threads is equal to the weight of the ping pong ball.
To find the angle between the two threads and the tension in the strings, we need the values of the repulsive force, the mass of the ping pong balls, and the acceleration due to gravity. By substituting those values into the equations, you can calculate the angle and tension.