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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 ...
Hot goIITian

Joined: 2 Dec 2007
Posts: 124
17 Dec 2007 01:59:31 IST
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Re:Inclined plane projectile
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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
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
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











