Finding Tension in a Vertical Circle: A 2.0-kg Ball on a Pivot

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In summary, the problem involves a 2.0-kg ball attached to a 1.2 m long rod that is raised and released to move in a vertical circle. The tension in the rod at the bottom of the circle is being sought. The solution involves finding the velocity of the ball at the mean position and using it to calculate the centripetal force, with the length of the rod being used as the radius. The normal acceleration to the curve is equal to the tension in the rod, and it can be set equal to the weight of the ball minus the centripetal force.
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preluderacer
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Homework Statement


A 2.0-kg ball is attached to a light rod that is 1.2 m long. The other end of the rod is loosely pinned at a frictionless pivot. The rod is raised until it is inverted, with the ball above the pivot. The rod is released and the ball moves in a vertical circle. The tension in the rod as the ball moves through the bottom of the circle is closest to:


The Attempt at a Solution



This is one of my homework problems. I can't find an example even remotely close in my textbook. Could someone explain how to go about solving this type of problem please?
 
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  • #2
have you learned circular motion?

if yes, find the velocity of the ball at the mean position, then finding centripetal force you can solve the problem.
 
  • #3
Im confused don't I need to know the radius to solve for the velocity?
 
  • #4
you know the length of the rod, so that's good enough.
 
  • #5
Im still drawing a black. A little assistance with the first step?
 
  • #6
do i set mv^2/r = to mg?
 
  • #7
The normal acceleration to the curve is the tension in the rod.
 
  • #8
Im still not quite getting this.
 
  • #9
T-mg=mv^2/r

now do you get it?
 

FAQ: Finding Tension in a Vertical Circle: A 2.0-kg Ball on a Pivot

What is a ball swinging on a pivot?

A ball swinging on a pivot is a physics demonstration that involves a ball suspended from a pivot point and allowed to swing freely. It is commonly used to illustrate concepts such as pendulum motion and conservation of energy.

How does a ball swinging on a pivot work?

The ball swinging on a pivot works due to the forces of gravity and tension. As the ball is released, it begins to swing back and forth due to the force of gravity. The tension in the string or rod keeps the ball from falling straight down and allows it to swing back and forth.

What factors affect the motion of a ball swinging on a pivot?

The motion of a ball swinging on a pivot can be affected by several factors, including the length of the string or rod, the mass of the ball, and the angle at which it is released. Other factors such as air resistance and friction can also affect the motion.

What is the period of a ball swinging on a pivot?

The period of a ball swinging on a pivot is the time it takes for the ball to complete one full swing. It is affected by the length of the string or rod and the acceleration due to gravity. The period can be calculated using the formula T=2π√(L/g), where T is the period, L is the length of the string or rod, and g is the acceleration due to gravity.

What real-life applications does a ball swinging on a pivot have?

A ball swinging on a pivot has several real-life applications, such as pendulum clocks, amusement park rides, and seismometers for measuring earthquakes. It is also used in sports such as golf and baseball to analyze the motion of swinging objects.

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