Let's discuss a beautiful problem useful for Physics Olympiad based on Mass supported by a Hollow Cylinder.
The Problem:
A mass m is supported by a massless string wound on a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?
Solution:
For the mass m, the force equation stands as:
$$mg-T=ma....(i)$$
For the cylinder, the force equation is:
$$ T.R=mR^2(a/R)$$
Hence,
from above equation $$ T=ma $$
Now, putting the value of T in equation (i), we get
$$ma=2mg$$
$$\Rightarrow a=g/2$$
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.
Cheenta students shine at the Purple Comet Math Meet 2025 organized by Titu Andreescu and Jonathan Kanewith top national and global ranks.
Celebrate the success of Cheenta students in the Stanford Math Tournament. The Unified Vectors team achieved Top 20 in the Team Round.