wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A solid cone of height 2R and base radius R is placed over a solid hemisphere as shown in figure. Cone and hemisphere are made up of the same material. Height of center of mass of system from the ground is

A
58R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1716R
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1716R
Mass of hemispherical part, m1=ρ23πR3 Mass of conical part, m2=ρ13πR2×2R=ρ23πR3 Thus, m1=m2=mHeight of centre of mass of hemispherical part from ground, y1=58RHeight of centre of mass of conical part from ground, y2=R+R2=32RCentre of mass of whole body, ycom=m1y1+m1y1m1+m2ycom=58R+32R2=1716R

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Integrating Solids into the Picture
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon