Home
Class 11
PHYSICS
Consider two cylinders with same radius ...

Consider two cylinders with same radius and same mass. Let one of the cylinders be solid and another one be hollow. When subjected to some torque, which one among them gets more angular acceleration than the other?

Text Solution

Verified by Experts

Moment of inertia of a solid cylinder about its axis` I = 1/2 MR^2`
Moment of inertia of a hollow cylinder about its axis `I_n = MR^3`
`l_a = 1/2 i_h or l_h = 21`
torque ` tau = I alpha = ( tau )/( I)`
`alpha _s =( tau )/( I_s ) and alpha _h = ( tau )/(l_h)`
` alpha _s I_s = alpha _h I_h implies (l_h )/( I_s ) gt 1`
` therefore alpha _S gt alpha_h`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER-5 (SOLVED)

    FULL MARKS|Exercise PART-IV|10 Videos

  • SAMPLE PAPER-5 (SOLVED)

    FULL MARKS|Exercise PART-II|9 Videos

  • SAMPLE PAPER-14 (UNSOLVED)

    FULL MARKS|Exercise Part-IV|10 Videos

  • SOLVED PAPER -16 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|5 Videos

Similar Questions

Explore conceptually related problems

there are two identical balls of same material one being solid and the other being hollow How will you distinguish them without weighting

A heavy body and a light body have same momentum. Which one of them has more kinetic energy and why?

A cylinder rotating at an angular speed of 50 rev/s is brought in contact with an identical stationary cylinder. Because of the kinetic friction, torques act on the two cylinders, accelerating the stationary one and decelerating the moving one. If the common magnitude of the acceleration and deceleration be one revolution per second square, how long will it take before the two cylinders have equal angular speed?

A solid sphere of mass m and radius R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation (E_(sphere) // E_(cylinder)) will be :

A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleratrion of 2 revolutions s^-2 is

A disk and a sphere, of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first.

Which one of the following has more volume. Iron block or a wooden block of same mass.