Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

93219 24448 / 89292 63204

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

81783 72169
OR

Chat with us on WhatsApp

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

Home / Doubts and Solutions/JEE/Physics

A projectile is thrown with a speed u,at an angle theta to an inclined plane of inclination beta.The angle theta at which the projectile is thrown such that it strikes the inclined plane normally is..

Asked by m.nilu 4th July 2018, 3:14 PM
Answered by Expert
Answer:
 
The figure to answer for this question is drawn as per my understanding.
We have to assume the projectile is hitting the inclined plane at a distance L on the inclined plane, from the projection point .
 
The velocity vector along with the resolved horizontal componenet and vertical component are shown in the figure.
User may workout how the velocity vector makes angle (90-β) with the horizontal component.
 
From resolved vector components, we have,        begin mathsize 12px style fraction numerator v over denominator u space cos theta end fraction space equals space tan left parenthesis 90 minus beta right parenthesis space equals space c o t space beta space o r space space space space v squared space equals space u squared cos squared theta space c o t squared beta space..................... left parenthesis 1 right parenthesis end style
where v is the vertical component of velecity vector at point A, u is the projection velocity. Refer the figure for angles.
 
From projectile motion, we have, begin mathsize 12px style v squared space equals space u squared space sin squared theta space minus space 2 space g space open parentheses L space sin beta close parentheses space...................... left parenthesis 2 right parenthesis end style
from (1) and (2), we can write,   begin mathsize 12px style u squared space cos squared theta space c o t squared beta space equals space u squared space sin squared theta space minus space 2 space g left parenthesis L space sin space beta right parenthesis end style ........................(3)
Eqn.(3) is the relation between u, L, β and θ . Using trignometry and algebrical simplification ,
we can get a relation for  θ in terms of other variables as given below ( I leave this as exercise to user)
 
begin mathsize 12px style theta space equals space sin to the power of negative 1 end exponent open parentheses square root of cos squared beta space plus space fraction numerator 2 space g space L over denominator u squared end fraction space sin squared beta end root close parentheses end style

Answered by Expert 6th July 2018, 11:36 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer 1/10

Report an issue
Tags: projectile-motion
Previous Question
Next Question
Your answer has been posted successfully!

Free related questions

A particle of mass m is given speed u at angle theta at topmost point It breaks into two equal parts one comes to rest  find point of landing of second mass
16th December 2021, 7:46 PM
A baseball is hit by a bat and given a velocity of 40.0m/s at an angle of 30 degree above the horizontal. The height of the ball above the ground upon impact with the bat is 1.0 m  a) what maximum height above the ground does the wall reached b) a feilder is 110.0 m from home plate with the ball is hit and the balls trajectory is directly at home if he begins running at the moment the ball is hit and catches the ball. when it is still 3.0 m above the ground. How long does he run before catching the ball. C) how fast does he have to run in order to catch the ball
12th June 2022, 2:06 PM
a particle is thrown from the ground with a speed u at angle above the horizontal. The rate of changeof velocity of the psrticle at the highest point of the path is
19th June 2022, 9:03 AM
explain
30th June 2022, 12:47 PM
A project file of mass 8 kg is fired at 25 m per second at 37 degree from horizontal it explodes at highest point into 3 parts of ratio 1:3:5 smallest part retraces it's path while second smaller drops vertically find velocity of biggest mass and also find explosion energy
4th November 2022, 4:20 PM
RELATED STUDY RESOURCES :
JEE QUESTION ANSWERS

Browse free questions and answers by Chapters

Trending Tags

trigonometric equations Mole concept linear equations circle trigonometric ratios functions matrix operations integration arithmetic progression quadratic equation

Latest Questions

CBSE X Biology
What is enzyme  
Asked by Sureshgowdayd548 28th October 2020, 10:50 PM
JEE Main Mathematics
The following pseudocode is executed using the “Paragraph words” dataset. At the end of the execution, CountB captures the number of verbs with letter count less than the average letter count of verbs. But the pseudocode may have mistakes in one or more lines. Identify all such lines (if any). It is a Multiple Select Question (MSQ).  Error in Line 4  Error in Line 8  Error in Line 11  Error at Line 12  Error in Line 17  Error at Line 18  Error in Line 21 The following pseudocode is executed using the “Words” table. What will be the value of A at the end of the execution?
Asked by amaladelsingh 28th October 2020, 10:24 PM
CBSE X Biology
I want a brief clarity on Taxonomy
Asked by reenacharan2008 28th October 2020, 9:11 PM

Chat with us on WhatsApp