Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Most Important Selected Qs for JEE AdvancedPhysicsRotational Motion

A disc of radius R is rolling without slipping with an angular acceleration , on a horizontal plane. Four points are marked at the end of horizontal and vertical diameter of a circle of radius r( R) on the disc. If horizontal and vertical direction are chosen as x and y axis as shown in the figure, then acceleration of points 1,2,3 and 4 are a ₁, a ₂, a ₃ and a ₄ respectively, at the moment when angular velocity of t

Options

  1. A(A) - (Q), (B) - (R), (C) - (P), (D) - (S)
  2. B(A) - (R), (B) - (Q), (C) - (S), (D) - (P)
  3. C(A) - (Q), (B) - (P), (C) - (R), (D) - (S)
  4. D(A) - (S), (B) - (R), (C) - (Q), (D) - (P)

Correct answer

A. (A) - (Q), (B) - (R), (C) - (P), (D) - (S)

Step-by-step solution

For ( A ) : Acceleration of 1 w.r.t. centre of mass =r i - ^2 r j a ₁=r i - ^2 r j +R i =(R+r) i - ^2 r j For ( B ): a ₂=-r j - ^2 r i +R i = (R - ^2 r ) i -r j For ( C ): a ₃=-r i + ^2 r j +R i =(R -r ) i + ^2 r j For ( D ): a ₄=r j + ^2 r i +R i = (R + ^2 r ) i +r j

Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

Consider a large disk of radius R and two smaller disks, each of radius r = R/50 , lying on its circumference, as shown in the figure. The smaller disks are initially in contact wi 2026A solid cylinder of radius R rolls without slipping with a center of mass speed v₀ = gR 3 on a horizontal surface with a vertical edge, as shown in the figure. Here, g is the accel 2026List-I shows four planar structures made of uniform solid rods each of mass m and length l . In the List-II the possible moment of inertia of these structures about an axis OCO' , 2026Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point C such that it can rotate freely around C in the XY plane, as shown in the figure. Initia 2026Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top point C such that it can rotate freely around C in the XY plane, as shown in the figure. Initia 2026A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At time t=0 the cylinder has a translational velocity v₀=49 m/s, perpendicular to its axis an 2026A solid sphere ( A ) of mass 5m and a spherical shell ( B ) of mass m , both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangential 2026A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through the centre of the sphere) with an angular velocity of 1200 rpm. It is brought to rest in 1 2026 Full Rotational Motion list All Most Important Selected Qs for JEE Advanced PYQs