Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Rotational Motion question

2016 · Shift 2 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Advanced
  3. /Physics
  4. /Rotational Motion
  5. /2016 · Shift 2 · Q40

Rotational Motion question

2016 · Shift 2 · Q40

JEE AdvancedPhysicsRotational MotionMultiple correct+4 / −2
Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a massless, rigid rod of length l=24al = \sqrt {24} al=24​a through their centers. This assembly is laid on a firm and flat surface, and set rolling without slipping on the surface so that the angular speed about the axis of the rod is ω\omegaω. The angular momentum of the entire assembly about the point ‘O’ is L→\overrightarrow LL (see the figure). Which of the following statement(s) is(are) true? JEE Advanced 2016 Paper 2 Offline Physics - Rotational Motion Question 57 English
  1. A
    The center of mass of the assembly rotates about the z-axis with an angular speed of ω5{\omega \over 5}5ω​
  2. B
    The magnitude of angular momentum of center of mass of the assembly about the point O is 81 ma2ω81\,m{a^2}\omega81ma2ω
  3. C
    The magnitude of angular momentum of the assembly about its center of mass is 17ma2ω2{{17m{a^2}\omega } \over 2}217ma2ω​
  4. D
    The magnitude of the z-component of L→\overrightarrow LL is 55ma2ω55m{a^2}\omega55ma2ω
PreviousNext

More from Rotational Motion

  • A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular… Includes diagram2016 · MCQ
  • A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular… Includes diagram2016 · MCQ
  • Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C with linear speeds v1 and v2, respectively, and always remain in contact with the surfaces. If they reach B and D with… Includes diagram2015 · Numerical
  • A ring of mass M and radius R is rotating with angular speed ω about a fixed vertical axis passing through its centre O with two point masses each of mass 8M​ at rest at O. These masses can move radially outwards along two… Includes diagram2015 · Multiple correct
  • The densities of two solid spheres A and B of the same radii R vary with radial distance r as ρA​(r)=k(Rr​) and ρB​(r)=k(Rr​)5, , respectively, where k is a constant.…2015 · Numerical
  • A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three forces of equal magnitude F = 0.5 N are applied simultaneously along the three sides of an equilateral triangle XYZ… Includes diagram2014 · Numerical
  • A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring toy-guns, each carrying a steel ball of mass 0.05 kg are attached to the platform at a distance 0.25 m from the centre on… Includes diagram2014 · Numerical
  • A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s-1 about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed…2013 · Numerical