Chapter 7: System of Particles and Rotational Motion

• τ = r × F
• L = Iω
• I = ∫r²dm
• KE_rot = ⅔Iω²

Q1. Find the moment of inertia of a disc of mass M and radius R about its centre.

Solution

I = ⅔MR²

Q2. A ring of radius 0.5 m rolls without slipping at 2 m/s. Find its angular velocity.

Solution

ω = v/R = 2/0.5 = 4 rad/s