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)
Galgotias University | Admiss...
Apply
25+ years of legacy | NAAC A+ Grade | 800+ Recruiters | 1.5 CR-Highest Package
Shoolini University Admission...
Apply
NAAC A+ Grade | Ranked No.1 Private University in India (QS World University Rankings 2025)
Graphic Era (Deemed to be Uni...
Apply
NAAC A+ Grade | Among top 100 universities of India (NIRF 2024) | 40 crore+ scholarships distributed
Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
UPES B.Sc Admissions 2025
Apply
Ranked #46 amongst Universities in India by NIRF | 1900+ Students Placed | 94% Placement | 633+ Recruiters | Last Date to Apply: 31st August | Admi...
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