NEET UG Systems of Particles and Rotational Motion — practice questions
89 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice NEET UG Systems of Particles and Rotational Motion in the app →Per NCERT §6.2 eqn 6.1, the centre of mass of two particles m₁ at x₁ and m₂ at x₂ is which?Per NCERT §6.2, the centre of mass of THREE equal masses placed at the vertices of a triangle lies at which poPer NCERT §6.2, the centre of mass of a UNIFORM (homogeneous) symmetric body lies at which location?Per NCERT §6.3 eqn 6.11, the equation of motion of the centre of mass of a system of particles is which?Per NCERT §6.3, in a system on which no external force acts, the centre of mass does which?Per NCERT §6.4, the total LINEAR MOMENTUM of a system of particles equals which?Per NCERT §6.4 (Newton's 2nd law for CM), if F_ext on the system is zero, the total linear momentum of the sysPer NCERT Example 6.3 (L-shaped uniform lamina), if all three identical squares have equal mass, the CM coinciPer NCERT §6.2 (continuous body), the CM of a continuous distribution is given by which integral?Per NCERT §6.1.1, a rigid body's general motion can be decomposed into which two kinds?Per NCERT §6.2, when the origin of coordinates is chosen at the centre of mass, what does Σ m_i r_i equal?Per NCERT Ex 6.1, three particles of mass 100 g, 150 g, 200 g sit at the vertices of an equilateral triangle. Per NCERT §6.5, the magnitude of the VECTOR (cross) product A × B is which?Per NCERT §6.5, the vector product is which property algebraically?Per NCERT §6.5, the cross products î × ĵ, ĵ × k̂, k̂ × î equal which respectively?Per NCERT §6.6 eqn 6.19, the linear velocity of a particle of a rigid body rotating with angular velocity ω atPer NCERT §6.7.1, the TORQUE (moment of force) on a particle at position r due to force F is which vector prodPer NCERT §6.7.1, the SI unit of torque is which?Per NCERT §6.7.2 eqn 6.25a, the ANGULAR MOMENTUM of a particle of momentum p at position r is which?Per NCERT §6.7.2 eqn 6.26, the time derivative of angular momentum L of a particle equals which quantity?Per NCERT §6.7 (Conservation of L), if the total EXTERNAL torque on a system is zero, the total angular momentPer NCERT §6.7.2, the angular momentum L of a particle is zero when which of the following holds?Per NCERT §6.5, the cross product of two PARALLEL vectors is which?Per NCERT §6.7.1, the dimensions of torque (and angular momentum × time) are which?Per NCERT §6.9 eqn 6.34, the moment of inertia of a system of particles about an axis is which?Per NCERT §6.9 eqn 6.35, the ROTATIONAL kinetic energy of a body about a fixed axis is which?Per NCERT §6.9 (radius of gyration), if I = M k², then k represents which?Per NCERT Table 6.1, the moment of inertia of a thin RING of mass M and radius R about an axis ⊥ to its plane Per NCERT Table 6.1, the moment of inertia of a uniform DISC of mass M and radius R about its central axis (⊥ Per NCERT Table 6.1, the moment of inertia of a thin ROD of mass M and length L about an axis ⊥ to it through Per NCERT Table 6.1, the moment of inertia of a solid SPHERE of mass M and radius R about its diameter is whicPer NCERT Table 6.1, the moment of inertia of a SOLID cylinder of mass M and radius R about its own axis is whPer NCERT §6.9, the dimensions and SI unit of moment of inertia are which?Per NCERT §6.10, the rotational kinematic equation analogous to v = v₀ + at is which?Per NCERT §6.10, the rotational analogue of v² = v₀² + 2 a x is which?Per NCERT Example 6.11, a wheel spins up from 1200 rpm to 3120 rpm in 16 s. The angular acceleration is approxPer NCERT §6.11 eqn 6.41, the rotational analogue of Newton's second law (F = m a) for rotation about a fixed Per NCERT Table 6.2 (translational vs rotational), the rotational analogue of LINEAR MOMENTUM p = M v is whichPer NCERT §6.11, the WORK done by a torque τ over angular displacement θ is which?Per NCERT §6.11 eqn 6.40, the POWER delivered by a torque is which?Per NCERT §6.8 (equilibrium of a rigid body), a rigid body is in MECHANICAL equilibrium when which conditions Per NCERT §6.8.1 (principle of moments / lever), at equilibrium a lever satisfies which condition?Per NCERT §6.8.2, the CENTRE OF GRAVITY of an extended body in a UNIFORM gravitational field coincides with whPer NCERT §6.12 (and many examples), if an ice skater pulling arms inward DECREASES her moment of inertia, whaPer NCERT Example 6.12, a flywheel of M=20 kg, R=0.2 m has I = MR²/2 = which?Per NCERT Example 6.12, the angular acceleration of the same flywheel under a 25 N pull (τ = FR = 5 N m) is whPer NCERT Example 6.12, after 2 m of cord unwinds at 25 N pull, the work done by the pull is which?Per NCERT §6.11 (frictionless rigid body), the work done by an external torque equals which?A child pushes a door of width $0.8$ m perpendicular to the door at the handle with $20$ N force. The torque aA solid disc of mass $M$, radius $R$, rotating about its centre axis has moment of inertia:An ice skater spinning with arms outstretched at $\omega_1$ pulls arms in, halving her moment of inertia. Her A bicycle wheel of radius $R$ rolls without slipping at linear speed $v$. The angular speed $\omega$ is:For a rigid body, the centre of mass moves as though the body's total mass were concentrated there and all extMoment of inertia of a body about an axis is a measure of its:The rotational analog of Newton's second law (F = m a) is:The moment of inertia of a uniform thin rod of mass M and length L about an axis perpendicular to the rod throParallel-axis theorem relates I about an axis at distance d from the centre of mass to I_cm by:Angular momentum L of a particle of mass m, position r and momentum p is:If the net external torque on a system is zero, then:A solid disc and a hollow ring of the same mass and radius roll without slipping down the same incline. ReachiTotal kinetic energy of a body rolling without slipping is:An ice skater spinning with arms outstretched pulls her arms in. Her angular speed:A flywheel of moment of inertia 2 kg m² rotates at 60 rpm. The torque required to bring it to rest in 10 s is:A solid sphere of mass M and radius R has moment of inertia about a diameter:A wheel rolls without slipping with the centre of mass having velocity v. The instantaneous velocity of the poTwo bodies have the same angular momentum L. The one with the LARGER moment of inertia has:The radius of gyration k of a body about an axis is defined so that:A body with a perfectly definite and unchanging shape is called:In a rigid body, the distances between pairs of particles:No real body is truly rigid because real bodies:The rigid body idealisation works because deformations are often:The centre of mass moves as if all the mass were concentrated:The velocity of the centre of mass equals the total momentum divided by:With zero total external force, the total linear momentum stays:Moment of force is also referred to as:Torque is which kind of physical quantity?The symbol used for torque is the Greek letter:The dimensions of torque are the same as those of:Although its dimensions match work, torque is a quantity that is:The SI unit of moment of force is the:Reversing both r and F leaves the direction of the torque:Translational equilibrium requires the total external force to be:Rotational equilibrium requires the total external torque to be:The centre of gravity is where the total gravitational torque is:In the moment of inertia formula, r is the distance from the axis that is:The parallel axes theorem adds to the centre of mass value the mass times:Rotation about a fixed axis is directly analogous to:The kinetic energy of a rolling body is the sum of translation and:The radius of gyration relates the moment of inertia to the body's: