Physics I Help needed

jai6638

Golden Member
Apr 9, 2004
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A sled weighing 205 N rests on a 15° incline, held in place by static friction (Figure 5-61). The coefficient of static friction is 0.5. The sled is pulled up the incline at constant speed by a child. The child weighs 500 N and pulls on the rope with a constant force of 100 N. The rope makes an angle of 30° with the incline and has negligible weight. What is the magnitude of the force exerted on the child by the incline?

I said that Fn - mgcos(theta) - Ft ( sin(theta)) = ma = 0
Hence, Fn = mgcos(theta) + FT ( sin(theta)) and got an answer of 532.962N but this is wrong.

What am I doing wrong here?

Thanks much.
 

jagec

Lifer
Apr 30, 2004
24,442
6
81
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.
 

jai6638

Golden Member
Apr 9, 2004
1,790
0
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So you are saying that it should be

Fn = mgcos(theta) + FT ( sin(theta)) - Fr
Fn = mgcos(theta) + Ft ( sin(theta ) - (Us*mgcos(theta))

??
 

PottedMeat

Lifer
Apr 17, 2002
12,363
475
126
Ugh. Is this the UT physics homework service?

If I was really lazy I'd try 500N first. Sometimes they like to add lots of superfluous info that you have to filter through when the answer is staring at you.

I guess it would really be force of child with gravity + the 45deg portion of the 100N thing.

 

CraKaJaX

Lifer
Dec 26, 2004
11,905
148
101
Originally posted by: jagec
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.

Not necessarily. Is it translational or rotational motion?
 

jai6638

Golden Member
Apr 9, 2004
1,790
0
0
its webassign.. pain in the freaking ass. I have only 1 try to go now out of the 5 they give me .. doh
 

jagec

Lifer
Apr 30, 2004
24,442
6
81
Originally posted by: CraKaJaX
Originally posted by: jagec
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.

Not necessarily. Is it translational or rotational motion?

It's a sled. It moves by sliding over the surface of the ground...so having the coefficient of static friction is meaningless.

Of course, based on my calculations the "constant speed" is zero (the 100 N exerted by the child is insufficient to overpower frictional forces and gravity), so the little bastard DEFINITELY is going to give up pretty soon.

That makes the problem much easier, though. Since there is no motion, we have the 500N required to keep the child from falling through the hill (obviously the normal force is somewhat lower because of the slope, but it asks for the *total* force, not just the normal force), and the normal component of the 100N force through the rope. The other component is balanced by the sled.

So, 500 + 100N*sin(theta) is my answer.

/edit: Wait, I'm dumb. The child is stationary. The hill therefore has to balance all forces acting on the child...500+100 N. Think about how you have to dig your heels into the ground when you pull on a rope.
 

CraKaJaX

Lifer
Dec 26, 2004
11,905
148
101
Originally posted by: jagec
Originally posted by: CraKaJaX
Originally posted by: jagec
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.

Not necessarily. Is it translational or rotational motion?

It's a sled. It moves by sliding over the surface of the ground...so having the coefficient of static friction is meaningless.

Of course, based on my calculations the "constant speed" is zero (the 100 N exerted by the child is insufficient to overpower frictional forces and gravity), so the little bastard DEFINITELY is going to give up pretty soon.

That makes the problem much easier, though. Since there is no motion, we have the 500N required to keep the child from falling through the hill (obviously the normal force is somewhat lower because of the slope, but it asks for the *total* force, not just the normal force), and the normal component of the 100N force through the rope. The other component is balanced by the sled.

So, 500 + 100N*sin(theta) is my answer.

I know, I was just being a pain in the ass. But it didn't work on your cheetah-like self. :D
 

jai6638

Golden Member
Apr 9, 2004
1,790
0
0
Originally posted by: jagec
Originally posted by: CraKaJaX
Originally posted by: jagec
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.

Not necessarily. Is it translational or rotational motion?

It's a sled. It moves by sliding over the surface of the ground...so having the coefficient of static friction is meaningless.

Of course, based on my calculations the "constant speed" is zero (the 100 N exerted by the child is insufficient to overpower frictional forces and gravity), so the little bastard DEFINITELY is going to give up pretty soon.

That makes the problem much easier, though. Since there is no motion, we have the 500N required to keep the child from falling through the hill (obviously the normal force is somewhat lower because of the slope, but it asks for the *total* force, not just the normal force), and the normal component of the 100N force through the rope. The other component is balanced by the sled.

So, 500 + 100N*sin(theta) is my answer.

/edit: Wait, I'm dumb. The child is stationary. The hill therefore has to balance all forces acting on the child...500+100 N. Think about how you have to dig your heels into the ground when you pull on a rope.

so the answer is just 600 N? damn.. webassign usually does not give such nice figures as the answers.

 

jagec

Lifer
Apr 30, 2004
24,442
6
81
Originally posted by: jai6638
so the answer is just 600 N? damn.. webassign usually does not give such nice figures as the answers.

That's assuming that they're not really looking for the normal force...wouldn't be the first time that someone screwed up on their phrasing.
 

CraKaJaX

Lifer
Dec 26, 2004
11,905
148
101
Originally posted by: jai6638
Originally posted by: jagec
Originally posted by: CraKaJaX
Originally posted by: jagec
(a)if it's moving, static friction is meaningless. WTF?
(b)what kind of piss-poor sled has a coefficient of 0.5? Is the incline covered in sandpaper?
(c)how old is this child? 500N is over 100 lbs. Since they said "child" and not "teenager", I'm going to guess that this kid is fat, and as such probably isn't going to bother pulling the sled for much longer before going inside to watch TV.

Not necessarily. Is it translational or rotational motion?

It's a sled. It moves by sliding over the surface of the ground...so having the coefficient of static friction is meaningless.

Of course, based on my calculations the "constant speed" is zero (the 100 N exerted by the child is insufficient to overpower frictional forces and gravity), so the little bastard DEFINITELY is going to give up pretty soon.

That makes the problem much easier, though. Since there is no motion, we have the 500N required to keep the child from falling through the hill (obviously the normal force is somewhat lower because of the slope, but it asks for the *total* force, not just the normal force), and the normal component of the 100N force through the rope. The other component is balanced by the sled.

So, 500 + 100N*sin(theta) is my answer.

/edit: Wait, I'm dumb. The child is stationary. The hill therefore has to balance all forces acting on the child...500+100 N. Think about how you have to dig your heels into the ground when you pull on a rope.

so the answer is just 600 N? damn.. webassign usually does not give such nice figures as the answers.

I HATE Webassign. Some of the stuff they make you put in is so ridiculous. If they ask for an equation as an answer, and you put it in the way they DON'T have it programmed into as the answer, it's wrong. :|

Where do you go to school?
 

TanisHalfElven

Diamond Member
Jun 29, 2001
3,512
0
76
Originally posted by: PottedMeat
Ugh. Is this the UT physics homework service?

If I was really lazy I'd try 500N first. Sometimes they like to add lots of superfluous info that you have to filter through when the answer is staring at you.

I guess it would really be force of child with gravity + the 45deg portion of the 100N thing.

the UT physics HW service is kicking my ass (though for eng physics 2) so don't say its easy.
 

TanisHalfElven

Diamond Member
Jun 29, 2001
3,512
0
76
Originally posted by: jai6638
A sled weighing 205 N rests on a 15° incline, held in place by static friction (Figure 5-61). The coefficient of static friction is 0.5. The sled is pulled up the incline at constant speed by a child. The child weighs 500 N and pulls on the rope with a constant force of 100 N. The rope makes an angle of 30° with the incline and has negligible weight. What is the magnitude of the force exerted on the child by the incline?

I said that Fn - mgcos(theta) - Ft ( sin(theta)) = ma = 0
Hence, Fn = mgcos(theta) + FT ( sin(theta)) and got an answer of 532.962N but this is wrong.

What am I doing wrong here?

Thanks much.

that question makes very very little sense. there's no kinetic friction..... wait a second ofcourse not.

you don't need it. find the component at 90 Deg to the slope. add that to the child weight in the same direction component.

on third thought maybe it is a bad formed question consdering there is no way to figure out the force in the rope.