Rotational motion Topics - IIT JEE Syllabus

1

2m1/10

📌 Key Formular_cm = (m₁r₁ + m₂r₂)/(m₁+m₂)

2

2m3/10

📌 Key FormulaFor continuous bodies: r_cm = (∫ r dm)/M

3

2m2/10

📌 Key FormulaAngular displacement θ, angular velocity ω = dθ/dt, angular acceleration α = dω/dt

4

2m2/10

📌 Key Formulaτ = r × F

5

2m2/10

📌 Key Formulaτ = Iα

6

2m3/10

📌 Key FormulaL = r × p, for rigid body L = Iω

7

2m4/10

📌 Key FormulaIf Στ_ext = 0, then L = constant.

8

2m3/10

📌 Key FormulaI = Σ mᵢ rᵢ², depends on axis of rotation.

9

2m2/10

📌 Key Formulak = √(I/M)

10

2m3/10

📌 Key FormulaRod, ring, disc, sphere etc.

11

2m4/10

📌 Key FormulaParallel: I = I_cm + Md², Perpendicular: I_z = I_x + I_y (for laminar bodies)

12

2m3/10

📌 Key Formulaω = ω₀ + αt, θ = ω₀t + ½αt², ω² = ω₀² + 2αθ