HC Verma - Concepts of Physics Part 1

Book: HC Verma - Concepts of Physics Part 1

Chapter: 12. Simple Harmonic Motion

Subject: Physics - Class 11th

Q. No. 39 of Exercises

Listen NCERT Audio Books to boost your productivity and retention power by 2X.


A spherical ball of mass m and radius r rolls without slipping on a rough concave surface of large radius R. It makes small oscillations about the lowest point. Find the time period.


Radius of the surfaces = R

Radius of the ball = r

Mass of the ball = m

Let angular amplitude be

Torque on the ball

Moment of inertia of ball

( for spherical surface)

(parallel axis theorem)

Angular acceleration of a ball

Angular acceleration about the center of the surface

(effective distance R-r)

(for smaller angles )

Linear acceleration

Chapter Exercises

More Exercise Questions