Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main201910 Jan 2019Evening ShiftPhysicsRotational MotionActual

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2 R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is

Options

  1. A209 15 M R 2 .
  2. B152 15 M R 2 .
  3. C137 15 M R 2 .
  4. D17 5 M R 2 .

Correct answer

C. 137 15 M R 2 .

Step-by-step solution

Applying parallel axis theorem for the balls, I b = 2 5 M R 2 + M 2 R 2 I total = 2 I b + I R I total = 2 5 M R 2 + M 2 R 2 × 2 + M 12 2 R 2 I total = 137 15 M R 2

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 JEE Main PYQs