Questions
Shown in the fig. is a hollow ice-cream cone (it is open at the top). If its mass is M, radius of its top, R and height, H, then its moment of inertia about its axis is :
detailed solution
Correct option is B
From the vertex, along curved surface go to y and take a strip of thickness dyand radius x.Mass of this strip = dm=mass on CSACSA×area of strip⇒dm=MπRR2+H2×2πxdxAlso, from similar triangles, xy=RR2+H2 I= dm x2 =MπRR2+H2 2πx3 dyI=2MRR2+H2×R3R2+H232×y440R2+H2=MR22Talk to our academic expert!
Similar Questions
A hollow cylinder of density of has length L inner radius a and outer radius b. its moment of inertia about the axis of the cylinder is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
