124 Views

All formulas related to question of ball sliding of a smooth hemisphere from top ?(WPE)


Unknown Student 24th Mar, 2020
Answer (1)
Pratyay Islam 24th Mar, 2020

Hello Student,

I guess you wanted the formulas of when the ball or body would loose contact,what velocity etc. These are all the formulas :

Let Radius of hemisphere be R, The height of the ball from base be H .

  1. Normal Reaction on the body is zero when the ball leaves the hemisphere.
  2. Vertical height from table at which the body leaves the hemisphere is H = 2R/3
  3. If Position vector of the ball with respect to the centre of curvature makes an angle θ with the vertical when the body leaves the hemisphere, the cosθ = 2/3
  4. Velocity of block at that instant of time is V = √(2gR/3)
  5. If the block is given a horizontal velocity u from the top of smooth convex hemisphere then angle θ  with vertical at which the block leaves hemisphere is cosθ = 2/3 + u²/3gR

(g = acceleration due to gravity)

This Diagram may help


2 Comments
Comments (2)
24th Mar, 2020
Thank you very much Sir
Reply
24th Mar, 2020
Unknown Student Happy to help .
Reply

Related Questions

Amity University | B.Sc Admis...
Apply
Ranked amongst top 3% universities globally (QS Rankings)
Manav Rachna | B.Sc Admission...
Apply
NAAC A++ Grade | Recognized as Category-1 Deemed to be University by UGC
JIIT Online MBA
Apply
Apply for Online MBA from Jaypee Institute of Information Technology
UPES B.Sc Admissions 2026
Apply
Ranked #45 Among Universities in India by NIRF | 1950+ Students Placed, 91% Placement, 800+ Recruiters
UPES M.Sc Admissions 2026
Apply
Ranked #45 Among Universities in India by NIRF | 1950+ Students Placed 91% Placement, 800+ Recruiters
JSS University Mysore 2025
Apply
NAAC A+ Accredited| Ranked #24 in University Category by NIRF | Applications open for multiple UG & PG Programs
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books