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Help with Mechanics M1
Dear TSR folk,
I am afraid that I have got myself into a bit of a pickle with the following question. Any advice would be much appreciated!
1. A van of mass 900kg is towing a trailer of mass 500kg up a straight road which is inclined to an angle 'a', where tan 'a' = 0.75. The van and the trailer are connected by a light, inextensible tow-bar. The engine of the van exerts a driving force of magnitude 12000N and the van and the trailer experience resistances to motion of magnitudes 1600N and 600N respectively.
a) Find the acceleration of the van.
b) Find the tension of the tow-bar
Many thanks in advance!
I am afraid that I have got myself into a bit of a pickle with the following question. Any advice would be much appreciated!
1. A van of mass 900kg is towing a trailer of mass 500kg up a straight road which is inclined to an angle 'a', where tan 'a' = 0.75. The van and the trailer are connected by a light, inextensible tow-bar. The engine of the van exerts a driving force of magnitude 12000N and the van and the trailer experience resistances to motion of magnitudes 1600N and 600N respectively.
a) Find the acceleration of the van.
b) Find the tension of the tow-bar
Many thanks in advance!
Have you drawn all the forces and components of forces, on a diagram?
treat each object seperately
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
I've drawn out a diagram with everything labeled but I just can't see the logical next step... perhaps I should just go to sleep and see if everything 'resolves' itself (haha, maths joke) in the morning...
Oh who am I kidding? I'll be up all night if I can't figure this out. Thanks + polarity though!
Oh who am I kidding? I'll be up all night if I can't figure this out. Thanks + polarity though!
Mrm.
treat each object seperately
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
Thank you, thank you! Aha - I was being just a little bit silly... completely ignored tension..
missmourk
Thank you, thank you! Aha - I was being just a little bit silly... completely ignored tension..
No problem
Original post by Trevor 12345
treat each object seperately
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
draw the forces acting on the Van: 12000N acting up the plane, 1600N acting down the plane, Force T (the tension in the connecting bar) acting down the plane, 500g acting vertically downwards. Take up the plane as positive. Resolve up the plane and use Newtons 2nd law.... I will do this bit:
16000 - 1200 -T - 500g sin "alpha" = 900 a
ok now do the same for the forces on the triler ( draw a diagram to make sure you get them in the correct direction.
You now basically have a pair of simultaneous equations... solve them and you are done.
how did you get the -500gsin"alpha" part?
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