Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main2013PhysicsRotational MotionActual

A tennis ball (treated as hollow spherical shell) starting from O rolls down a hill. At point A the ball becomes air borne leaving at an angle of 30^ with the horizontal. The ball strikes the ground at B . What is the value of the distance AB ? (Moment of inertia of a spherical shell of mass m and radius R about its diameter = 2 3 m R^2 )

Options

  1. A1.87 ~m
  2. B2.08 ~m
  3. C1.57 ~m
  4. D1.77 ~m

Correct answer

B. 2.08 ~m

Step-by-step solution

Velocity of the tennis ball on the surface of the earth or ground aligned & v = 2 gh 1+ k ^2 R ^2 ( where k = radius of gyration & of spherical shell .= 2 3 R ) & Horizontal range AB = v ^2 2 g & = . 2 gh 1+ k ^2 / R ^2 )^2 (2 30^ ) g 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 JEE Main PYQs