Block moving on a horizontal surface

[Vibhor]

Homework Statement

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 .

 

[ehild]

Homework Statement

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.

 

[Vibhor]

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 ?

 

[ehild]

You assumed that the horizontal acceleration of the cylinder is zero in the block frame of reference, didn't you?

 

[Vibhor]

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 ) ?

 

[ehild]

If the cylinder does not accelerate horizontally with respect to the block, what is its (horizontal) acceleration with respect to the ground?

 

[Vibhor]

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 .

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

Now ,how should I calculate value of a₀ ?

 

[ehild]

What is the vertical acceleration? There is some geometric relation between the horizontal and vertical acceleration of the block in the grove.

 

[Vibhor]

Thank you very much .