Angle of projection, Mechanical Engineering

Assignment Help:

A ball is thrown from a point with a speed V  at an angle of projection  θ . From the same point and  at the same instant, a person starts running with a constant speed V/2 to catch the ball. Will the  person be able to catch the ball? If yes, what should be the angle of projection?
 
Ans) Horizontal distance covered by the ball= horizontal range= (hope u know the formula) R=[V2sin2(theta)]/g

time taken by the ball to reach the ground=T=2Vsin(theta)/g

note;] remember that time taken by the person to reach the spot and time taken

         by the ball to reach the ground(same spot)..is THE SAME;

time taken by the person to reach the spot= time taken by the ball..

    distance/speed (man)          =        2v sin theta/g  [ball]

    range/speed[man]               =             '''' ''''

   ( V2sin 2 theta/g) / v/2        =              '''' ''''

       things cancel out in the equation and finally u get     sin (theta) = sin 2 (theta)                                                         

this can happen if theta = 00 ...............................which is not possible

...therefore  2 theta= 180-theta.........by trigonometry

               3 theta = 180           =====>theta=600


Related Discussions:- Angle of projection

Motion, a body of mass 5kg moves with an acceleration of 20m/s calculate th...

a body of mass 5kg moves with an acceleration of 20m/s calculate the force

Working of burner assembly in steam generators, Q. Working of Burner Assemb...

Q. Working of Burner Assembly in steam generators? The Steam Generators shall be equipped with a packaged burner assembly consisting of a burner, combustion air fan, ductwork,

Governors, how to find mass of sleeve in porter governor

how to find mass of sleeve in porter governor

Principle stresses, Determine the bending  (o-, ) and shear stress ( Tx), )...

Determine the bending  (o-, ) and shear stress ( Tx), ) at the surface element shown on the solid circular shaft below. Use Mohr's circle to determine the principle stresses, a l

How is the cooling system useful in two wheelers?, (a) How is the cooling s...

(a) How is the cooling system useful in two wheelers? (b) Which cooling system is mainly used in two wheelers? Describe working of that cooling system. (c) Describe the worki

Show bolt material, Q. Show Bolt Material? Bolt material must be select...

Q. Show Bolt Material? Bolt material must be selected with adequate yield strength at the operating temperature to provide the required strength to properly seat the gasket. It

Bending stress in curved beams, aframe of punching machine and its varios d...

aframe of punching machine and its varios dimentions. if it has force of85kN determine others

Acceleration of the two blocks, In the drawing, the weight of the block on ...

In the drawing, the weight of the block on the table is 380 N and that of the hanging block is 215 N. Ignore all frictional effects, and assuming the pulley to be massless.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd