Block moving on a horizontal surface

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Homework Help Overview

The discussion revolves around a block moving on a horizontal surface and the forces acting on a cylinder in relation to the block. Participants are exploring the application of pseudo forces and the implications of different reference frames on the acceleration of the cylinder.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of pseudo forces in the context of different reference frames, questioning the assumptions made about the horizontal acceleration of the cylinder. There are attempts to clarify the relationship between the forces acting on the cylinder and the block's motion.

Discussion Status

The discussion is active, with participants questioning each other's assumptions and exploring the implications of their reasoning. Some guidance has been offered regarding the relationship between horizontal and vertical accelerations, but no consensus has been reached on the correct approach to the problem.

Contextual Notes

Participants are navigating the complexities of reference frames and the forces involved, with specific attention to the geometric relationships between accelerations. There is an acknowledgment of the need for further clarification on certain points.

Vibhor
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Homework Statement



?temp_hash=1b1eef46b89857e8bb7424f18d3afa48.gif


Homework Equations

The Attempt at a Solution



Working from the reference frame of block , a pseudo force Ma0 towards right need to be applied on the cylinder .

Forces acting on the cylinder are pseudo force , weight Mg and normal force from the block (if any) .

Since the cylinder does not have horizontal acceleration , N sin30° = Ma0 .

I am not able to proceed from here .

Any help would be appreciated .
 

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Vibhor said:

Homework Statement



?temp_hash=1b1eef46b89857e8bb7424f18d3afa48.gif


Homework Equations

The Attempt at a Solution



Working from the reference frame of block , a pseudo force Ma0 towards right need to be applied on the cylinder .

Forces acting on the cylinder are pseudo force , weight Mg and normal force from the block (if any) .

Since the cylinder does not have horizontal acceleration , N sin30° = Ma0 .

I am not able to proceed from here .

Any help would be appreciated .

The cylinder does not have horizontal acceleration in the rest frame of reference. So it accelerates with respect to the slope.
 
ehild said:
The cylinder does not have horizontal acceleration in the rest frame of reference. So it accelerates with respect to the slope.

Sorry , i did not understand . Could you please explain it a bit more . Do you think the application of pseudo force and subsequent equation written in the block frame are wrong ?
 
You assumed that the horizontal acceleration of the cylinder is zero in the block frame of reference, didn't you?
 
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ehild said:
You assumed that the horizontal acceleration of the cylinder is zero in the block frame of reference, didn't you?

Yes .

So , should the equation be Ma0 - N sin30° = Ma ( 'a' is the horizontal acceleration of the cylinder in the block frame ) ?
 
If the cylinder does not accelerate horizontally with respect to the block, what is its (horizontal) acceleration with respect to the ground?
 
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ehild said:
If the cylinder does not accelerate horizontally with respect to the block, what is its (horizontal) acceleration with respect to the ground?

I guess you wanted to ask the other way round :smile: .

Anyways , (horizontal) acceleration with respect to the block would be a0 . That would give N = 0 .

Now ,how should I calculate value of a0 ?
 
What is the vertical acceleration? There is some geometric relation between the horizontal and vertical acceleration of the block in the grove.
 
Thank you very much :smile: .
 

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