Centripetal Force and Tension in Rotating System

AI Thread Summary
The discussion revolves around a physics problem involving a 1.0 kg ball attached to a rotating system with two strings forming an equilateral triangle. Key points include the need to determine the tension in the lower string, the net force on the ball, and its speed. Participants emphasize the importance of drawing a free-body diagram to identify all forces acting on the ball, including gravity and the tensions in the strings. There is uncertainty about whether the problem implies that the system is rotating at a speed sufficient to keep the lower string taut. Overall, the conversation highlights the complexities of analyzing forces in a rotating system and the need for additional information to solve the problem effectively.
Kaos_Griever
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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...
 
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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)
 
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...?
 
Yes, the force of gravity = you just had a mass there; I was making sure you were including that force.
 
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 ?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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