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

A cylindrical shell, a spherical shell and a solid sphere are allowed to roll on an inclined rough surface of co-efficient of friction and inclination . The correct statements are

Options

  1. AIf cylindrical shell can roll on inclined plane, all other objects will also roll
  2. BIf all the objects have different mass and allowed to roll from same height, then K.E. of all the object will
  3. Cwork done by the frictional force will be zero if object are rolling.
  4. Dfrictional force will be equal for all the objects having same mass

Correct answer

C. work done by the frictional force will be zero if object are rolling.

Step-by-step solution

If I= mR ^2 ~K , _ min = 1+ K K is minimum for cylindrical shell _ min = 1+2 = 1 2 is maximum If shell can roll then other will also roll. Force of frictional is static hence work done by force will zero w.r.t. ground.

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