Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020PhysicsRotational MotionPractice

A uniform solid sphere of mass M and radius R is lying on a rough horizontal plane. A constant force F = 4 M g acts vertically downwards at point P such that the line OP makes an angle of 60 ° with the horizontal as shown in the figure. The minimum value of the coefficient of friction μ so that sphere performs pure rolling, is

Options

  1. A3 7
  2. B4 7
  3. C2 7
  4. D2 5

Correct answer

C. 2 7

Step-by-step solution

Writing torque about the bottommost point, 4 M g × R 2 = 7 5 M R 2 a R ⇒ a = 10 g 7 f = μ 5 M g = M a 5 μ g = 10 g 7 ⇒ μ = 2 7

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 NTA Abhyas JEE Main PYQs