Can Formulas for Acceleration on an Inclined Plane be Written without Friction?

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Homework Help Overview

The discussion revolves around the acceleration of objects on an inclined plane in the absence of friction. Participants are exploring the implications of this scenario on the formulas that can be derived for both a small object and a triangular object on the incline.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the importance of free body diagrams and the conditions under which certain formulas apply, particularly questioning the validity of using the formula a = g sin (alpha) when the incline is movable.

Discussion Status

The conversation is ongoing, with participants providing insights and questioning assumptions about the problem setup. There is a mix of guidance offered and clarification sought regarding the application of formulas in different scenarios.

Contextual Notes

There is a mention of the assumption that no friction or other forces are acting on the objects, which is a critical constraint in the discussion. Additionally, the nature of the incline being movable introduces complexity that is being explored.

physiker99
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Assume there is no friction in the system. Can anyone write formulas for acceleration of both the small object and the triangular object? (Gravity is downwards, no other force such as air drag etc.)

[URL=http://imageshack.us][PLAIN]http://img83.imageshack.us/img83/6036/asdasdcf6.png[/URL][/PLAIN]
 
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I would draw the free body diagrams for both objects first ... then remember "In the absence of friction and other forces (tension, applied, etc.), the acceleration of an object on an incline is the value of the parallel component (m*g*sine of angle) divided by the mass (m). This yields the equation : a = g sin (alpha)


Reference: http://www.glenbrook.k12.il.us/gbssci/Phys/Class/vectors/u3l3e.html

for the Triangular object. The applied force would be the Normal force from the smaller block ... the acceleration should come from the force parallel to the ground ..
 
Last edited by a moderator:
Danger86514 said:
I would draw the free body diagrams for both objects first ... then remember "In the absence of friction and other forces (tension, applied, etc.), the acceleration of an object on an incline is the value of the parallel component (m*g*sine of angle) divided by the mass (m). This yields the equation : a = g sin (alpha)
While your advice to draw free body diagrams is excellent, a = g sin (alpha) only holds if the incline is fixed. But this one can move.
 
Doc Al said:
While your advice to draw free body diagrams is excellent, a = g sin (alpha) only holds if the incline is fixed. But this one can move.

thanks, but I was only giving some points in the right direction. i was hoping that would have physiker99 think some .. in the future I will keep this in mind and just do the work for them ... i am new to the thread and was under the impression that the questions are not just answered with a blunt response.


attached is a pdf ...
 

Attachments

Danger86514 said:
thanks, but I was only giving some points in the right direction. i was hoping that would have physiker99 think some .. in the future I will keep this in mind and just do the work for them ... i am new to the thread and was under the impression that the questions are not just answered with a blunt response.
No one is suggesting that you do the work for them, but don't you think that any comment you make should at least be correct?
 

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