Tension in a string last problem.

In summary, the conversation discusses a 1.0 kg pendulum bob suspended from a 1.0 m long string, swinging until the string makes an angle of 22 degrees with the vertical. It includes equations to determine the tension in the string, the component of the force of gravity at right angles to the string, and the acceleration of the pendulum bob. It also includes a question about the tension in the original string when the pendulum is held horizontally, with a graph provided. The solution involves drawing a free body diagram and using equations to determine the tension in both strings.
  • #1
pokeefer
42
0

Homework Statement



A 1.0 kg pendulum bob is suspended from a string 1.0 m long. The pendulum swings until the string makes an angle of 22 degrees with the vertical. At this point

Homework Equations



I can't remember

The Attempt at a Solution

a.) What is the tension in the string?

Answer: Ft = mgcostheta Ft = 9.09N

b.) What is the component of the force of gravity at right angles to the string?

Answer: Fg = mgsintheta = 3.67N

c.) What is the acceleration of the pendulum bob?

Answer: a = gsintheta = 3.67 m/s^2

d.) If the pendulum is held with a string fastened to the bob and held horizontally as shown, what would be the tension in the original string (not the horizontal one). (3 marks)

I don't know the answer to part D

The graph looks like this:

http://i53.tinypic.com/23rwa5l.jpg

Thanks.
 
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  • #2
the tension would be in a way "shared" by both the strings. So drawing a FBD equate vertical and horizontal components and get your answer.
And your part 1) is wrong too,
Tcos(theta)=mg

And i think your c) part is wrong too, use the equation above, if it helps.
 

What is tension in a string?

Tension in a string refers to the force that is applied to a string in order to keep it taut. It is a measure of the pulling force exerted by the string on the objects attached to its ends.

How is tension in a string calculated?

Tension in a string can be calculated using the formula T = F * L, where T is the tension force, F is the applied force, and L is the length of the string. This formula assumes that the string is massless and inextensible.

What factors affect tension in a string?

The tension in a string is affected by several factors, including the applied force, the length and thickness of the string, and the material properties of the string. Other factors such as temperature and external forces can also impact tension in a string.

What happens if the tension in a string is too high?

If the tension in a string is too high, the string may break or stretch beyond its elastic limit. This can result in the string losing its ability to return to its original shape and can affect the accuracy of any measurements taken with the string.

How is tension in a string used in real-life applications?

Tension in a string is used in many real-life applications, such as musical instruments, suspension bridges, and cranes. It is also an important concept in physics and engineering, as it helps to understand the behavior of materials under stress and how they can be used in various structures and systems.

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