TS EAPCET (Engineering) Rotational Motion — practice questions
97 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Rotational Motion in the app →The moment of inertia of a solid sphere of mass $M$ and radius $R$ about a diameter is: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 inA uniform rod of length $L$ is suspended from one end. Its **time period** for small oscillations is:A **yo-yo** (solid uniform cylinder) of mass $M$, radius $R$ unwinds under gravity. Its downward acceleration Angular displacement theta in a circular motion is related to arc length s and radius r as:Angular velocity omega in terms of time period T:Linear speed v and angular speed omega relation for circular motion:Torque tau acting on a body produces:Angular momentum L of a body rotating with angular velocity omega:A wheel starting from rest reaches 20 rad/s in 4 s. Angular acceleration alpha:Moment of inertia of a uniform solid sphere of mass M and radius R about an axis through center:Moment of inertia of a thin uniform disc (mass M, radius R) about axis perpendicular to disc through center:Parallel axis theorem states I_parallel = I_cm + Md². Here d is:For a thin rod of mass M and length L, I about axis through center perpendicular to rod:Kinetic energy of a rotating body with moment of inertia I and angular velocity omega:For a body rolling without slipping with velocity v of center of mass:A solid cylinder and a hollow cylinder of same mass and radius roll down an incline. Which reaches bottom firsTwo point masses 3 kg each at the ends of a massless rod of length 4 m. I about axis through center perpendicuA figure skater pulls in her arms during a spin. Her moment of inertia decreases. By conservation of L (I × omFor a hoop, disc, and solid sphere of same mass and radius rolling down an incline. Order of acceleration (fasA solid sphere of mass M, radius R rolls without slipping down an incline of angle theta. Acceleration:Two point masses 3 kg each at the ends of a massless rod of length 4 m. I about axis through center perpendicuFor a thin rod (mass M, length L) about axis through ONE END perpendicular to rod, I equals:Torque on a body produces angular acceleration. For tau = 20 N m and I = 5 kg m², alpha equals:A 50 kg flywheel of radius 0.5 m rotates at 60 rev/min. Angular momentum (I = MR²/2):A solid sphere rolls down without slipping. Fraction of KE that is rotational:A wheel rotating at 50 rad/s decelerates uniformly to rest in 10 s. Total angular displacement:Angular acceleration alpha = 4 rad/s² acts for 5 s on a wheel starting from rest. Number of revolutions:A solid cylinder (I = MR²/2) of mass 2 kg, radius 0.1 m, rolls without slipping at 6 m/s. Total kinetic energyFor a solid cylinder rolling without slipping, the friction force at the contact point:Moment of inertia of an annular disc (inner radius r1, outer r2) about perpendicular axis through center:A ring of mass 2 kg, radius 0.5 m, spins about its central perpendicular axis. Its I isA uniform disc of mass 4 kg and radius 0.2 m turns about its central axis normal to its face. Find its moment A rod of mass 3 kg, length 2 m, spins about a perpendicular axis at its midpoint. Its I isA disc of mass 8 kg and radius 0.5 m is turned about one of its diameters. What is its moment of inertia?For a thin ring, what is the ratio of I about a diameter to I about its central perpendicular axis?A hollow and a solid cylinder share the same mass and radius. Ratio of I (hollow : solid) about their axes?What is the radius of gyration of a uniform disc of radius R about its diameter?A thin rod of length L spins about a perpendicular axis through its centre. Its radius of gyration isA body of mass 2 kg has moment of inertia 8 kg m^2 about an axis. What is its radius of gyration?Which quantity is the rotational analogue of mass in linear motion?The rotational analogue of force in linear motion is calledWhich statement about the moment of inertia of a rigid body is true?Torque has the same dimensions as which quantity?Torque and work share dimensions. How do they differ?A 10 N force acts at right angles to a spanner, 0.5 m from the bolt. What torque does it produce?A 10 N force acts 0.5 m from a pivot at 30 degrees to the position vector. Find the torque.When is the torque of a non-zero force about a point zero?If both the position vector r and force F are reversed, the torque r x FWhere must a force be applied on a door to open it most effectively?Vectors of size 3 and 4 are 30 degrees apart. Magnitude of their cross product?What is the cross product of a vector with itself, a x a?For the unit vectors of a right handed system, what is i x j?Under reflection (x to -x, y to -y, z to -z), the cross product a x bWhile applying the right hand rule to a x b, through which angle is the rotation taken?A wheel spins at 10 rad/s. What is the speed of a point 0.3 m from the axis?Pure rotation of a rigid body means all its parts have the sameFor rotation about a fixed axis, the angular velocity vector liesThe linear velocity of a particle of a rotating rigid body is given byRotation of a rigid body about a fixed axis needs how many independent variables?A wheel starts from rest with angular acceleration 2 rad/s^2. What is its angular speed after 5 s?A disc starts from rest and speeds up at 2 rad/s^2. Through what angle does it turn in 5 s?A rotor at 4 rad/s gains speed uniformly at 2 rad/s^2 over 5 rad. Its final angular speed isA motor wheel goes from 1200 rpm to 3120 rpm uniformly in 16 s. What is its angular acceleration?A wheel turns at 1200 revolutions per minute. Its angular speed in rad/s isA net torque of 20 N m acts on a body with I = 4 kg m^2. Its angular acceleration isA flywheel with I = 2 kg m^2 spins at 4 rad/s. What is its rotational kinetic energy?A body with I = 2 kg m^2 rotates at 3 rad/s about a symmetry axis. Its angular momentum isA shaft carries a torque of 10 N m while turning at 5 rad/s. What power does it deliver?A constant torque of 5 N m turns a wheel through 4 rad. How much work is done?For a fixed axis, angular acceleration of a rigid body isIn fixed axis rotation, which forces can be left out of the torque sum?Work done by external torques on a perfectly rigid body goes intoThe rate of change of angular momentum of a particle equals theAngular momentum of a particle about O is zero if its momentum lineA 2 kg particle moves at 3 m/s along a line 4 m from point O. Its angular momentum about O isA free particle moves in a straight line at constant velocity. Its angular momentum about a fixed pointTotal angular momentum of a system is conserved when the total externalInternal torques cancel if forces obey Newton's third law and also actA turntable with I = 4 kg m^2 spins at 3 rad/s. With no external torque, I falls to 2 kg m^2. New ω?You spin on a free swivel chair and stretch out your arms. Result?A diver curls into a tuck in mid air. Why does the diver spin faster?A skater pulls in her arms while spinning freely. Her rotational kinetic energyA pair of equal and opposite forces with different lines of action is called aWhich everyday action applies a couple?Why does a compass needle turn in the Earth's magnetic field without moving off?Two opposite 5 N forces form a couple with lines of action 0.4 m apart. The couple's moment isFor a particle, rather than an extended body, equilibrium only requires thatA lever lifts a 200 N load with a 0.5 m load arm. The effort arm is 2 m. What effort is needed?A lever has mechanical advantage greater than one whenOn a lever, the point about which it pivots is called theHow is the CG of an irregular sheet found by hanging it?The total torque on a system does not depend on the chosen origin when the total external