Class 11 · Chapter 7
System of Particles & Rotational Motion
Overview, notes, short notes, formula sheet, daily practice problems, previous year questions, and videos for this chapter — all in one place.
System of Particles & Rotational Motion JEE Notes
Fully worked, JEE-style problems on rigid body dynamics — rods released from rest, angular momentum conservation in collisions, rolling without slipping, and pulleys with real moment of inertia — going a level beyond the regular DPP.
A uniform rod of length 1.5 m is pivoted at one end and held horizontal, then released from rest. Find its angular acceleration when it makes an angle of 30° with the vertical. (g = 10 m/s²)
A rod of mass 6 kg and length 2 m can rotate freely about a frictionless axle through its centre. A 1 kg particle moving at 9 m/s, perpendicular to the rod, strikes and sticks to one end. Find the angular speed of the system just after the collision.
A solid sphere rolls without slipping down an incline, starting from rest at a height of 1.4 m above the bottom. Find its speed at the bottom. (g = 10 m/s²)
A rotating system has moment of inertia 4 kg·m² and angular speed 3 rad/s. Its moment of inertia then changes (due to redistribution of mass) to 6 kg·m², with no external torque acting. Find the new angular speed.
Two masses, 2 kg and 4 kg, hang on either side of a pulley of moment of inertia 0.4 kg·m² and radius 0.2 m. Find the acceleration of the system. (g = 10 m/s²)
A solid cylinder of mass 2 kg and radius 0.5 m rolls without slipping at 10 m/s. Find its translational KE, rotational KE, and total KE.
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