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Uklyvian 10-17-2009 01:01 AM

Physics is the bane of my existence
 
Hey guys I can't figure out this problem for the life of me....

A 3.50 kg object is attached to a vertical rod by two strings as in the figure below. The object rotates in a horizontal circle at constant speed 4.95 m/s.

http://i274.photobucket.com/albums/j...sh/physics.gif

What is the tension on the lower and upper string D:?

Hessah 10-17-2009 01:13 AM

You come to us when you have a school problem.. hmph!

Uklyvian 10-17-2009 01:16 AM

O.o would you like to me to come to you other times too o.O? I quietly help out around here .-. /gives lots of money when asked for FF events D;

Hessah 10-17-2009 01:17 AM

Aw ok I'm sorry.. I'll take that back.. kekeke

Uklyvian 10-17-2009 01:18 AM

lol....no one in my class can get it either D; i think this problem is cursed

Hessah 10-17-2009 01:20 AM

Do you have a formula for tension? That's the formula for force right?

Ralath 10-17-2009 01:22 AM

I wonder if Lam knows. Kekeke. He just posted a super long thing on Physics. If I see him online, I'll have him look at this.


/has never taken a Physics class in my life

Uklyvian 10-17-2009 01:22 AM

F=MA...tension is essentially force.

It should be like this I think

cos θ = 1.5/ 2
= 41.41 degrees
T1y = mg
T1 sin θ = mg
T1 sin 41.41 = 3.5(9.8)
T1 = 51.85N

but it doesn't work D;

a.L 10-17-2009 01:54 AM

T1 = 49.28 N?

Bleh.

lamchopz 10-17-2009 02:04 AM

Try centripetal motion equation.

Triumph 10-17-2009 03:42 AM

This was good practice for my upcoming physics exam too... so here we go.

You have two identical strings, which are 2.00m each.

First, find the angle the upper string (T1) makes with the upper half of the pole, which is:

cos θ = 1.50 / 2.00
θ = 41.41°


This also applies to the lower half, which will be referred to as (T2).

T1 and T2 combined result in the circular motion of the ball. The horizontal components are what causes the ball to move, so:

T1sinθ + T2sinθ = (mv^2)/r

The radius is part of the horizontal circular motion as well, so you must take the horizontal component. s = string

r = s(sinθ)
r = 2.00sin(41.41)
r = 1.32


Therefore:

T1sinθ + T2sinθ = (mv^2)/r
T1sin41.41 + T2sin41.41 = (3.50 * 4.95^2)/1.32
T1 + T2 = 65.0/(sin41.41)
T1 + T2 = 98.3 N


Now, analyze the vertical components. However, gravity also acts upon the object, so you must take that into consideration with the lower tension.

Components:

T1cosθ
T2cosθ
mg


T1cosθ = mg + T2cosθ
T1cos41.41 = (3.5 * 9.8) + T2cos41.41
T1 - T2 = 34.3 / (cos41.41)
T1 - T2 = 45.7 N


Thus:

T1 + T2 + (T1 - T2) = 98.3 + 45.7
2T1 = 144
T1 = 72 N


Plug the newly found T1 into T1 + T2 to get:

T1 + T2 = 98.3
72 + T2 = 98.3
T2 = 26.3 N


Answers:
T1 = 72.0 N
T2 = 26.3 N

Ralath 10-17-2009 08:00 AM

You are such a geek. lol

Sero 10-17-2009 08:28 AM

*dies from post #11*

Ivramire 10-17-2009 08:36 AM

42.

Triumph 10-17-2009 03:15 PM

Quote:

Originally Posted by Ralath (Post 385000)
You are such a geek. lol

MIDTERM IN A WEEK!!

AHHH!

It actually pertains to some of the stuff we did earlier... lulz.

NewHeal 10-17-2009 03:58 PM

I concur.....WTH? LOLZ....math was my WORST

Uklyvian 10-17-2009 07:43 PM

Okay that makes sense. -high fives you- Thanks a lot ^^! Teacher was like....erm you actually got this? I told her one of my friends helped me xP

Tamashiiryuu 10-18-2009 12:17 AM

Quote:

Originally Posted by Triumph (Post 384976)
This was good practice for my upcoming physics exam too... so here we go.

You have two identical strings, which are 2.00m each.

First, find the angle the upper string (T1) makes with the upper half of the pole, which is:

cos θ = 1.50 / 2.00
θ = 41.41°


This also applies to the lower half, which will be referred to as (T2).

T1 and T2 combined result in the circular motion of the ball. The horizontal components are what causes the ball to move, so:

T1sinθ + T2sinθ = (mv^2)/r

The radius is part of the horizontal circular motion as well, so you must take the horizontal component. s = string

r = s(sinθ)
r = 2.00sin(41.41)
r = 1.32


Therefore:

T1sinθ + T2sinθ = (mv^2)/r
T1sin41.41 + T2sin41.41 = (3.50 * 4.95^2)/1.32
T1 + T2 = 65.0/(sin41.41)
T1 + T2 = 98.3 N


Now, analyze the vertical components. However, gravity also acts upon the object, so you must take that into consideration with the lower tension.

Components:

T1cosθ
T2cosθ
mg


T1cosθ = mg + T2cosθ
T1cos41.41 = (3.5 * 9.8) + T2cos41.41
T1 - T2 = 34.3 / (cos41.41)
T1 - T2 = 45.7 N


Thus:

T1 + T2 + (T1 - T2) = 98.3 + 45.7
2T1 = 144
T1 = 72 N


Plug the newly found T1 into T1 + T2 to get:

T1 + T2 = 98.3
72 + T2 = 98.3
T2 = 26.3 N


Answers:
T1 = 72.0 N
T2 = 26.3 N

My teacher would LOVE you

Phantom Badger 10-18-2009 08:40 AM

Well...Fuck...


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