This guideline is designed for students of different reading levels eager to participate in the Bangladesh Physics Olympiad (BdPhO), from beginners to advanced. The books are roughly arranged from easier to more challenging. You don’t have to read all of them, just pick any one you like and you can start reading. If a book feels too difficult or the mathematics gets too heavy, don’t worry—it’s okay to move on to another one that suits you better, or brush up on your calculus first. Above all, physics is about understanding how the universe works, so keep reading, experimenting, and enjoying your journey.
Problem: A solid right-circular cylinder is rolling without slipping down an inclined plane that makes an angle θ with the horizontal. What is the value of its acceleration?
(BDPHO 2025 C Category)
The moment of inertia (I) of a solid cylinder about its central axis is:
I = ½ MR²
Since the cylinder rolls without slipping, the relationship between linear and angular acceleration is:
a = αR ⇒ α = a/R
Applying Newton's second law for linear motion down the incline:
Mg sin(θ) - f = Ma --- (Equation 1)
Applying the rotational equation of motion (τ = Iα) about the center of mass:
fR = [½ MR²] * [a/R]f = ½ Ma --- (Equation 2)
Now, substitute the value of f from Equation 2 into Equation 1:
Mg sin(θ) - ½ Ma = MaMg sin(θ) = Ma + ½ MaMg sin(θ) = &frac32; Ma
Dividing both sides by M, we get the linear acceleration (a):
g sin(θ) = &frac32; a
a = ⅔ g sin(θ)
Focus on solving problems rather than just reading theory. Working directly with equations is the best way to develop your "physical intuition."
Draw large, clear diagrams and gradually tackle harder problems, moving from basic mechanics to advanced topics.
Never give up. It is normal for tough problems to take days to solve. Patience and consistent practice will sharpen your analytical skills over time.
Remember: Practice makes progress!