Work Energy Method for Linear Motion

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Homework Help Overview

The discussion revolves around the work-energy method in the context of linear motion, specifically focusing on the concept of reference datums in energy calculations. The original poster expresses confusion regarding the definition of a reference datum and its role in determining height in energy equations.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition and implications of reference datums in energy calculations, with one participant attempting to apply the work-energy principle to a problem involving a block and a spring. Questions arise about which datum to use and how to set up the equations correctly.

Discussion Status

The discussion is ongoing, with participants providing insights and suggestions for using conservation of energy principles. There is an indication of productive dialogue as participants clarify concepts and propose adjustments to the datums to simplify calculations.

Contextual Notes

There is mention of a specific scenario involving a spring and gravitational potential energy, as well as the need to consider friction in the energy balance. The original poster's confusion about the term "datum" suggests a potential gap in understanding foundational concepts.

freshbox
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Homework Statement


From my textbook there is a note that says " A reference datum must always be define in order to obtain the height h. I don't quite understand what is it trying to tell me.

I already had define my datum 1 as position 1 and datum 2 as position 2.
On my 2nd diagram , I made a red line, is that the Height that I need to find?

The Attempt at a Solution


Working for Block position 2
E2=K2+G2+S2
=1/2(10)v^2 + 10(9.81)(-h) + 0



Thanks.
 

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Last edited:
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I gave a try to your problem and got the answer to be 2.74 which is almost near to 2.94, that might be because i used g=10m/s^2 for simplified calculation.

The spring is compressed and released, the spring potential energy converts to kinetic energy, gravitational potential energy and some gets used up in doing work again friction. Can you make the equation now?
 
Ignore the 1st diagram.
 

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Hi Pranav, you are asking me to make an equation for datum 1 or datum 2?
 
Sorry Pranav, it's getting late here, talk to you tomorrow.
 
freshbox said:
Ignore the 1st diagram.

Ah that makes more sense, i was confused what you meant by "datum".

I am asking you to use the conservation of energy at datum 1 and datum 2. Also shift datum 1 a little back because the spring is compressed by 80mm, it will make things easier for you.
Define zero gravitational potential energy at datum 1, now what is the spring potential energy?
 

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