Grade 11Mechanics

A particle is projected up an incline plane of inclination x to the horizontal. If the particle strikes the plane horizontally then tanx is :

Anubhav kumar

8 Years agoGrade 11

2 Answers

Venkat

8 Years ago

Let the angle made by the projectile with ground is $\alpha$

As the particle strikes the plane horizontally so its velocity is parallel to horizontal axis and vertical velocity is zero.

In vertical direction,

$0=usin\alpha -gt \\ \\usin\alpha=g{\frac{2usin[\alpha -x]}{gcosx}} \\ \\cosxsin\alpha = 2(cosxsin\alpha -sinxcos\alpha) \\2sinxcos\alpha=cosxsin\alpha \\2tanx=tan\alpha \\tanx= 0.5*tan\alpha$

Khimraj

8 Years ago

verticle component of velocity will be zero.

and let angle made by projectile with ground is $\Theta$

THen

usin $\Theta$ – gt =0

and time period t is given by 2usin( $\Theta$ – x)/gcosx

THen

2sinxcos $\Theta$ = cosxsin $\Theta$

so tanx = ½tan $\Theta$ .

Hope it clears.

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A particle is projected up an incline plane of inclination x to the horizontal. If the particle strikes the plane horizontally then tanx is :

Anubhav kumar

2 Answers

Venkat

Khimraj

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