Horizontal force by block on a beam

[haruspex]

Are my answers correct?

box At A:
T= 6.37
Ty= 4.625
Tx= 3.88
Hx= 3.88
Hy= 16.625

I think you meant T=6.037N
(Always specify the units.)

 

[hello478]

yeah, it was a typo...
i meant 6.037

 

[haruspex]

yeah, it was a typo...
i meant 6.037

Ok, so what next? Will you have a go at an answer to the question in post #1, or maybe first try the case of the block being at B?

 

[hello478]

Ok, so what next? Will you have a go at an answer to the question in post #1, or maybe first try the case of the block being at B?

yeah sure, i will do it in the morning
thank you for the guidance!

 

[BvU]

Are my answers correct?

box At A:
T= 6.37
Ty= 4.625
Tx= 3.88
Hx= 3.88
Hy= 16.625

We prefer you post your calculations, not just the results. But: 80% is correct. Only T is off ( $T = T_y/\sin\bigl ( {50\over 180}\pi \bigr ) = 6.04$ N ) [edit] ah, already noted and a typo

Well done.

Except you omitted the units -- a strict prof would give you 0 points.
[edit] haha, already noted too

$\$

 

[BvU]

and why does tension change when the block is moved

Conceptual intermezzo:

This is a (practically massless) swing and you (with substantial mass) sit in the middle.
The tension in the two ropes is equal and each is half your $mg$ (you just hang there and don't swing).
What happens to these tensions when you shift towards the right rope ?
What happens when you move even further, to the other side of the rope ?

Catch my drift ?

(it was rather a long dinner -- again )

$\$

 

[hello478]

What happens to these tensions when you shift towards the right rope ?
What happens when you move even further, to the other side of the rope ?

thank you for the explanation :)
when we shift towards right the tension in the right rope increases
and if we dang towards the left rope the tension in the left rope increase
am i right? or wrong?

 

[hello478]

AN ATTEMPT TO THE ORIGINAL QUESTION:::::: is this correct??
The block is now moved closer to end A of the beam. Assume that the beam remains
horizontal.
State and explain whether this change will increase, decrease or have no effect on the horizontal
component of the force exerted on the beam by the hinge

so the answer to this question would be...
that the resultant tension in the rope decreases
and the horizontal component of the tension also decreases
before horizontal component is 10.9N and as it moves closer to A i decreases and at A it eventually becomes 3.88N

 

[hello478]

AT B:
T= 21.7 N
Tx= 13.95 N
Ty= 16.625 N
Hx= 13.95 N
Hy= 4.625 N (acting downwards)
while at A Hy= 16.625 N acting upwards

 

[BvU]

Bingo !

And with units !

$\$

 

[hello478]

Bingo !

And with units !

yesss finally!!