# Homework Help: Block moving on a horizontal surface

1. Oct 8, 2015

### Vibhor

1. The problem statement, all variables and given/known data

2. Relevant equations

3. 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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2. Oct 8, 2015

### ehild

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

3. Oct 8, 2015

### Vibhor

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 ?

4. Oct 8, 2015

### ehild

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

5. Oct 8, 2015

### Vibhor

Yes .

So , should the equation be Ma0 - N sin30° = Ma ( 'a' is the horizontal acceleration of the cylinder in the block frame ) ?

6. Oct 8, 2015

### ehild

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

7. Oct 8, 2015

### Vibhor

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 ?

8. Oct 9, 2015

### ehild

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

9. Oct 9, 2015

### Vibhor

Thank you very much .