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Hot goIITian

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16 Dec 2007 23:59:42 IST
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Inclined plane projectile
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when a projectile is launched on an inclined plane with inclination beta and initial velocity vector makes an angle of alpha with horizontal is it possible 2 apply R,H,T formula taking the coordinate system along the incline(by making some modifications like taking g as g cos(beta) etc)??? If yes please demonstrate


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Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 01:59:31 IST
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Re:Inclined plane projectile
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 02:03:43 IST
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Dude,
Look at the above diagram:
Here,
1)               Time to reach at H = ½ T
2)               X1 = X2 = R/2
3)               U = V
4)               Angle B = Angle @
Now check out the inclined plane diagram below
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 02:05:02 IST
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Re:Inclined plane projectile
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 02:08:47 IST
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Now,
Look at the above diagram:
Here,
1)               Time to reach at H = ½ T
2)               X1 not= X2 not= R/2 (but X1 > X2)
3)               U > V
4)               Angle B < Angle @
5)               Acceleration along X is not constant
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 02:25:37 IST
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So P90,
        Look at the above diagrams and try to prove the T, R & H formulae for inclined plane. You will find
 
T = 2 U SinB/ g Cos&
H = U2 Sin2B/ 2g Cos&
 
 
(as you said, ie just replace g)
 
But, for Range you will get a complicated expression,
 
R = 2 U2 SinB . Cos(B+&) /  g Cos2&
 
 
Nudge me if you have any query regarding this
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 22:50:57 IST
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People, somebody has given me a red mark for this answer?. Help what should I dooo????
abc xyz's Avatar

Blazing goIITian

Joined: 3 Aug 2007
Posts: 603
17 Dec 2007 22:59:19 IST
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sorry mate you got boinked for a honest effort. but whoever did it you took your "NOT HERE FOR RATES" line too literally.
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 23:18:26 IST
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Hey I donno who the new person is !!! and I am sure he must have dont it by mistake!!!
 
Camon people! if you dont want to salute my efforts, at least dont gimmie a boink!! A boink indicates a bad job and worthless efforts! I m here to help!!! and my efforts are not worthless

Blazing goIITian

Joined: 12 Nov 2007
Posts: 577
18 Dec 2007 00:20:23 IST
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What nonsense is this ? How can anyone get boinked for this. I think the boinks are approved before coming in effect ? How can that reason be approved ?

Indzee...nudge the admin. He should remove your boink. That is just not right.
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
18 Dec 2007 00:26:05 IST
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@ P90
 
Dude
 
To derive the range formula,
 
Just the thing you do is,
 
>>Use the second kinematical equation along the x direction on inclined plane,
 
>>Substitute the value of Time (T) in it?
 
 
>>After that take 2U2 SinB /g Cos2& common,
 
 
 
>>You remain with Cos& CosB ? Sin& SinB inside the brackets which you can write as Cos(B+&)
 
 
 
>>Therefore you get the final Equation as,
 
 
R= 2 U2 SinB . Cos(B+&) / g Cos2&
 
 
Hope you got it
Indzee ...'s Avatar

Hot goIITian

Joined: 2 Dec 2007
Posts: 124
18 Dec 2007 00:52:13 IST
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Thanks Roony for everything, but how can I contact admn to remove that boink.
    
 



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