CBSE Class 11 Systems of Particles and Rotational Motion — practice questions
74 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 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: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: