How Do Mass and Young's Modulus Affect Cylinder Stability?

In summary, the question asks for the following information about two cylinders, A and B, and a horizontally placed rod on top of them: 1. The mass ratio of a cylinder needed to hold the rod 2. The amount of mass per unit length of cylinder B needed to hold the rod 3. The ratio of the distances from the center of mass of the rod to the center of mass of cylinder A and cylinder B, respectively (Ra / Rb)
  • #1
Handitya Alfa
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Homework Statement


two cylinders A and B with the same initial length, standing upright with one another. Then on top of the cylinder is placed a rod horizontally as shown. If the known diameter and Young's modulus cylinder A is twice the diameter and Young's modulus cylinder B. Determine:
1. The amount of the mass ratio of a cylinder to hold the rod
2. The amount of mass perbanfingan cylinder B to hold the rod
3. If the distance of the center of mass of the rod to the center of mass of the cylinder A is Ra and mass center distance to the center of mass of the cylinder rod B is Rb, calculate the ratio Ra / Rb
 

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  • #3
Handitya Alfa said:

Homework Statement


two cylinders A and B with the same initial length, standing upright with one another. Then on top of the cylinder is placed a rod horizontally as shown. If the known diameter and Young's modulus cylinder A is twice the diameter and Young's modulus cylinder B. Determine:
1. The amount of the mass ratio of a cylinder to hold the rod
2. The amount of mass perbanfingan cylinder B to hold the rod
3. If the distance of the center of mass of the rod to the center of mass of the cylinder A is Ra and mass center distance to the center of mass of the cylinder rod B is Rb, calculate the ratio Ra / Rb
Unfortunately the translation into English has not resulted in an intelligible question. Please try again.
 

1. What is elasticity?

Elasticity refers to the property of a material or object to return to its original shape or size after being stretched or deformed. It is a measure of how easily a material can be stretched or compressed and how much it can withstand these changes without permanent damage.

2. How is elasticity measured?

Elasticity is typically measured by the ratio of stress (force per unit area) to strain (change in length per original length) of a material. This ratio is known as the elastic modulus and is a measure of how much a material can deform under stress.

3. What is the relationship between elasticity and oscillation?

Oscillation refers to the back-and-forth motion of an object around a stable equilibrium point. Elasticity plays a crucial role in oscillation as it determines the amplitude (maximum displacement) and frequency (number of oscillations per unit time) of the oscillating object. The more elastic a material is, the larger the amplitude and frequency of oscillation can be.

4. How does temperature affect elasticity?

Temperature can significantly affect the elasticity of a material. In general, as temperature increases, so does the elasticity of a material. This is because higher temperatures cause the atoms or molecules in a material to vibrate more, making it easier for the material to be stretched or compressed.

5. What are some real-life applications of elasticity and oscillation?

Elasticity and oscillation have numerous applications in everyday life, such as in springs for shock absorption, in musical instruments for creating sound, in measuring devices for detecting vibrations, and in engineering designs for creating stable structures. Understanding these concepts is also crucial in fields such as seismology, acoustics, and materials science.

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