wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

A small ball is rolled with speed u from point A along a smooth circular track as shown in figure. If x=3R, then determine the point of projection after passing through C, the highest point.

A
32gR
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
B
12gR
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
C
53gR
No worries! Weā€˜ve got your back. Try BYJUā€˜S free classes today!
D
52gR
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 52gR

From C the ball becomes a horizontal projectile with range x=3R and height H=2R. Thus,
x=v2(H)g
3R=v2(2R)g
v=32gR
Conserving mechanical energy from B to C.
KB+UB=KC+UC
12mu2+0=12mv2+mg(2R)
u2=94gR+4gRu=52gR

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Kinetic Energy and Work Energy Theorem
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon