.A cylinder has a cross-sectional area of 'A' and a length of 'L'. It is made of a material that has a modulus of 'E'. Show that stiffness of the cylinder can be expressed as K=(EA)/L for the cylinder when the cylinder is undergoing tension.

Elements Of Electromagnetics
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1. A cylinder has a cross-sectional area of 'A' and a length of 'L'. It is made of a material that has a modulus of 'E'. Show that stiffness of the cylinder can be
expressed as K=(EA)/L for the cylinder when the cylinder is undergoing tension.
2. A) Plot the time response of deformation for a 100 kDa globular protein under the effect of a step force input of amplitude 25 pN. B) What is the time
constant for the particle to reach a steady state deformation.
3. Estimate the size of a protein that will result in the overdamping criterion to be unity. In your estimation, the shape of the protein can be assumed to be
spherical.
4. Plot the overdamping criterion for bending of a rod-shaped protein assuming that length of the protein ranges from 1 nm to 1000 nm. What is your
conclusion on the likelihood of a protein to vibrate in bending with increasing length of the protein?
Transcribed Image Text:1. A cylinder has a cross-sectional area of 'A' and a length of 'L'. It is made of a material that has a modulus of 'E'. Show that stiffness of the cylinder can be expressed as K=(EA)/L for the cylinder when the cylinder is undergoing tension. 2. A) Plot the time response of deformation for a 100 kDa globular protein under the effect of a step force input of amplitude 25 pN. B) What is the time constant for the particle to reach a steady state deformation. 3. Estimate the size of a protein that will result in the overdamping criterion to be unity. In your estimation, the shape of the protein can be assumed to be spherical. 4. Plot the overdamping criterion for bending of a rod-shaped protein assuming that length of the protein ranges from 1 nm to 1000 nm. What is your conclusion on the likelihood of a protein to vibrate in bending with increasing length of the protein?
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“Since you have posted a multiple question, we will provide the solution only to the first question as per our Q&A guidelines. Please repost the remaining questions separately.”

Given data:-

A cylinder has a cross-sectional area =A

Length of the cylinder= L. 

Modulus of elasticity of the material = E

To find:-Show that stiffness of the cylinder can be expressed as K=[EA)/L

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