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

A rod bent at right angle along its centre line, is placed on a rough horizontal fixed cylinder of radius R as shown in figure. Mass of rod is 2 m and rod is in equilibrium. Assume that friction force on rod at A and B are equal in magnitde.

Options

  1. ANormal force applied by cylinder on rod at A is 3 mg / 2 .
  2. BNormal force applied by cylinder on rod at B must be zero.
  3. CFriction force acting on rod at B is upward.
  4. DNormal force applied by cylinder on rod at A is mg .

Correct answer

A. Normal force applied by cylinder on rod at A is 3 mg / 2 .

Step-by-step solution

aligned & f ₁= N ₂ & ~N ₁+ f ₂=2 mg & f ₁= f ₂= f aligned aligned & N ₁+ f =2 mg & f = N ₂ & ( _ net )_ C =0 aligned 2 fR -2 mg R 2 =0 aligned & f = mg 2 & ~N ₁=2 mg - f = 3 mg 2 aligned

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