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Grade: 12

                        

max height of projectile on inclined plane?

11 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

11 years ago
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