Solve Silent Ringing Bell Homework Statement

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In summary, the clapper rod should have a length of 4.96 meters in order for the bell to ring silently.
  • #1
anubis01
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Homework Statement


A large bell is hung from a wooden beam so it can swing back and forth with negligible friction. The center of mass of the bell is 0.65m below the pivot, the bell has mass 37.0 Kg, and the moment of inertia of the bell about an axis at the pivot is 19.0 kg*m^2. The clapper is a small, 1.8 kg mass attached to one end of a slender rod that has length L and negligible mass. The other end of the rod is attached to the inside of the bell so it can swing freely about the same axis as the bell.

a)What should be the length of the clapper rod for the bell to ring silently-that is, for the period of oscillation for the bell to equal that for the clapper?


Homework Equations


Tbell=2pisqrt(I/mgd)

The Attempt at a Solution


okay so we have to have Tbell=TClapper
Tbell=2pisqrt(I/mgd)=2pisqrt(19/37*9.8*0.65)=1.784 s
1.784=TClapper=2pisqrt(I/mgd)
(1.748^2*g)/2pi=L=4.96m

Now I still have the wrong answer with this method, could someone please help me determine waht I'm doing wrong, as always any help is appreciated.
 
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  • #2
anubis01 said:
(1.748^2*g)/2pi=L=4.96m
Shouldn't that 2∏ be squared?
 
  • #3
Doc Al said:
Shouldn't that 2∏ be squared?
yes it should, sigh I really need to improve my arithmitic skills. Thanks for the help.
 
  • #4
Doc Al said:
Shouldn't that 2∏ be squared?

What about the 1.8kg ?
 
  • #5
A large bell is hung from a wooden beam so it can swing back and forth with negligible friction. The center of mass of the bell is 0.45 below the pivot, the bell has mass 40.0 , and the moment of inertia of the bell about an axis at the pivot is 20.0 . The clapper is a small, 1.8 mass attached to one end of a slender rod that has length and negligible mass. The other end of the rod is attached to the inside of the bell so it can swing freely about the same axis as the bell.
What should be the length of the clapper rod for the bell to ring silently-that is, for the period of oscillation for the bell to equal that for the clapper?

Im getting 2.2 meters !? Can someone solve!
 
  • #6
It's a trick question. You are solving for the bell to "swing" silently not "ring" silently. The answer (to the actual question) is that you have to mismatch the clapper and bell frequencies to ensure a hit (or it can't ring) and then it has to be in vacuum so it can ring silently.
 
  • #7
using the above work I got 1.1m, You should also remember to have (2pi)2 instead of just 2pi in the final part of the equation. It would also be helpful if you were to post your work.
 
  • #8
anubis01 said:
using the above work I got 1.1m, You should also remember to have (2pi)2 instead of just 2pi in the final part of the equation. It would also be helpful if you were to post your work.

Sight at me.. Cheers man.
 

1. What is the "Silent Ringing Bell" homework statement?

The "Silent Ringing Bell" homework statement is a common physics problem that involves a bell that rings without making any sound. This problem challenges students to use their understanding of sound waves and acoustics to explain the phenomenon.

2. How do you approach solving the "Silent Ringing Bell" homework statement?

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3. What are some common misconceptions about the "Silent Ringing Bell" homework statement?

One common misconception about the "Silent Ringing Bell" homework statement is that the bell is actually silent, when in fact, it is producing sound waves that are not audible to the human ear. Another misconception is that the bell is not actually ringing, when in reality, it is vibrating and producing sound waves that are being canceled out by other sound waves.

4. What are some helpful tips for solving the "Silent Ringing Bell" homework statement?

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5. How can understanding the "Silent Ringing Bell" homework statement be applied in real life?

Understanding the "Silent Ringing Bell" homework statement can be applied in various real-life situations, such as understanding the physics behind noise-canceling headphones, or designing soundproof rooms for recording studios. It also has practical applications in understanding the behavior of sound waves in different environments, such as in buildings or outdoor spaces.

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