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abhishek mangla Grade: 12
        max height of projectile on inclined plane?
7 years ago

Answers : (1)

Ramesh V
70 Points
										


PROJECTILE FIRED FROM AN INCLINED PLANE

 

Consider an inclined palne which makes an  with the horizontal. Let a projectile be projected with a velocity 'v' making an angle  with the horizontal.

 

 Let us choose X axis along the inclined plane and Y-axis perpendicular to it.

 

gcos and gsin are the two rectangular components of g.

 

Now,

 

vx= v cos(-) and vy = v sin(-).

 

Let T = time of flight of the projectile

 

The displacement of the projectile perpendicular to the inclined plane is clearly Zero.

 

Using S = ut + (1/2) a t2, for motion along y-axis, we get

 

0 = v sin(-) T -(1/2) g cos T2

 

or T = 2 v sin(-)/g cos  

 

Range on the inclined plane is

 

R = 2v2 sin(-) cos/g cos2  

 

Rmax= v2/g (1+sin)

 

                  Hmax= v2sin2(-)/2g cos

7 years ago
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