JEE Advanced Rotational Motion — practice questions
28 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Advanced Rotational Motion in the app →The **moment of inertia** of a thin uniform rod of mass $M$ and length $L$ about a perpendicular axis through The **angular momentum** of a particle of momentum $\vec p$ at position $\vec r$ (from origin) is:For a body **rolling without slipping** on a flat surface with centre-of-mass velocity $v$, the **velocity of A solid sphere ($I = \tfrac{2}{5}MR^2$) rolls without slipping down a plane inclined at $\theta$. Its **linearBy **parallel-axis theorem**, the moment of inertia of a thin ring of mass $M$, radius $R$, about a tangent inAn ice-skater spinning with arms extended ($I_1 = 4$ kg·m², $\omega_1 = 3$ rad/s) pulls her arms in to $I_2 = A uniform rod of length $L$ is suspended from one end. Its **time period** for small oscillations is:A coin sits at distance $r$ from the centre of a turntable rotating with angular speed $\omega$. The **maximumAn Atwood machine: masses $m_1 > m_2$ over a **massive** pulley (uniform disc, mass $M$, radius $R$, $I = MR^2Four objects roll without slipping down an identical incline from the same height: **solid sphere, solid cylinA **solid sphere** rolling without slipping enters a vertical loop of radius $R$. The **minimum height** $h$ fTwo coaxial discs ($I_1, I_2$ with angular velocities $\omega_1, \omega_2$) are suddenly coupled. **Energy disA **yo-yo** (solid uniform cylinder) of mass $M$, radius $R$ unwinds under gravity. Its downward acceleration A billiard ball of radius $R$, mass $m$ at rest is struck horizontally by an impulse $J$ at height $h$ above iA **uniform cube** of side $a$ sits on a rough incline. As $\theta$ is increased, the cube **topples** before A solid sphere rolls at speed $v$ on a horizontal surface and elastically collides with an identical stationarA **disc** of mass $M$, radius $R$ rolls without slipping. A particle of mass $m$ rests on its **top** (sticksA thin **rod of length $L$, mass $M$** is hinged at one end and held horizontally; released from rest. The **aA **uniform sphere** of radius $R$ and mass $M$ is placed inside a fixed hemispherical bowl of radius $5R$. FoA man of mass $m$ stands at the edge of a horizontal platform (mass $M$, radius $R$, moment $I = \tfrac{1}{2}MA **bullet** of mass $m$, velocity $v$ strikes the lower end of a uniform rod (mass $M$, length $L$, hinged atA **hollow sphere** ($I = \tfrac{2}{3}MR^2$) and a **solid sphere** of equal mass and radius roll without slipA wheel of radius $R$ rolls without slipping at speed $v$. The **velocity** of a point on the rim at angle $\pA horizontal disc of mass $M$, radius $R$ spins freely at $\omega$. A second identical disc is dropped verticaA solid sphere is placed on a horizontal surface with **initial linear velocity $v_0$ (forward) and zero angulA spool of inner radius $r$ and outer radius $R$ ($r < R$) rests on a rough horizontal floor. A thread is pullA child of mass $m$ runs tangentially at speed $v$ and jumps on the rim of a stationary playground merry-go-roA uniform circular disc of radius $R$ and mass $M$ has a circular hole of radius $R/2$ cut out, **centred** at