Centripetal Force and Tension in Rotating System

In summary, the problem involves a 1.0kg ball attached to a vertical rod by two strings forming an equilateral triangle. The tension in the upper string is known, but the tension in the lower string is unknown. The net force on the ball can be calculated using the equation F = mv^2 / r, where m is the mass, v is the velocity, and r is the radius. It is important to draw a free-body diagram to identify all the forces acting on the ball, including the force of gravity. However, it is unclear if the system is rotating at a specific speed or just fast enough for the lower string to be taut.
  • #1
Kaos_Griever
6
0
Homework Statement
A 1.0kg ball is attached to a rigid vertical rod by the means of two massless strongs each 1.0m long. The strings are attached to the rod at points 1.0m apart. The system is rotating about the axis of the rod, both strings being taut and forming an equilateral triangle with the rod. The tension in the supper string is What is the tension in the lower string? What is the net force on the ball? What is the speed of the ball?

Relevant equations
The only equation I can think of is F = mv^2 / r
where m = mass, r = radius, v = velocity, F = Centripetal Force


The attempt at a solution
I'm not sure how to do the entire question... does finding the tension need an angle? Because the string is not at the horizontal...
 
Physics news on Phys.org
  • #2
At first glance, (and maybe I'm missing something) but it seems that something is missing. If you spin the rod faster and faster (once you've reached the point at which both strings are taut), the tension in the strings will increase until they finally break, and will continue to form an equilateral triangle.

Is it implied in the problem that the system is rotating "just fast enough" for the lower string to be taut?

However, on problems where forces are important, it's a good idea to draw a free-body diagram. What forces are acting on the ball? (You're missing one; usually one which is obvious)
 
  • #3
No other forces have been given to me in the question. I am also not sure of the forces that will be acting on the free body diagram of the ball? Would it only be the force of gravity, the normal force, and the forces of the strings...?
 
  • #4
Yes, the force of gravity = you just had a mass there; I was making sure you were including that force.
 
  • #5
Kaos_Griever said:
No other forces have been given to me in the question. I am also not sure of the forces that will be acting on the free body diagram of the ball? Would it only be the force of gravity, the normal force, and the forces of the strings...?
I believe you left out a given..the tension in the upper string is ?
 

1. What is centripetal force?

Centripetal force is a type of force that acts towards the center of a circular motion. It keeps an object moving in a circular path instead of moving in a straight line.

2. How is centripetal force calculated?

The formula for calculating centripetal force is Fc = mv^2/r, where Fc is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

3. What are some examples of centripetal force in everyday life?

Some examples of centripetal force include the rotation of the Earth around the Sun, the motion of a car around a curve, and the spinning of a washing machine during its cycle.

4. How does centripetal force relate to Newton's laws of motion?

Centripetal force follows Newton's First Law of Motion, which states that an object will remain in motion unless acted upon by an external force. The centripetal force acts as the external force that keeps an object moving in a circular path. It also follows Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it.

5. What is the difference between centripetal force and centrifugal force?

Centripetal force is the force that acts towards the center of a circular motion, while centrifugal force is the perceived outward force on an object that appears to be moving in a curved path. Centrifugal force is a fictitious force and does not actually exist, but is used to explain the outward force felt by an object in circular motion.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
163
  • Introductory Physics Homework Help
Replies
2
Views
975
  • Introductory Physics Homework Help
Replies
7
Views
453
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
679
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
944
  • Introductory Physics Homework Help
Replies
1
Views
742
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
3K
Back
Top