$A$ rigid body of mass $M$ and radius $R$ rolls without slipping on an inclined plane of inclination $\theta$,under gravity. Match the type of body in Column-$I$ with the magnitude of the force of friction in Column-$II$.
Column-$I$ Column-$II$
$(A)$ Ring $(I)$ $\frac{Mg \sin \theta}{3.5}$
$(B)$ Solid sphere $(II)$ $\frac{Mg \sin \theta}{2}$
$(C)$ Solid cylinder $(III)$ $\frac{Mg \sin \theta}{3}$
$(D)$ Hollow cylinder $(IV)$ $\frac{Mg \sin \theta}{2.5}$

  • A
    $A-IV, B-III, C-II, D-IV$
  • B
    $A-II, B-I, C-IV, D-IV$
  • C
    $A-II, B-III, C-IV, D-II$
  • D
    $A-IV, B-III, C-II, D-II$

Explore More

Similar Questions

$A$ solid sphere is thrown up a rough incline. The sphere rolls up without slipping and eventually comes down rolling without slipping. The direction of rolling friction in upward and downward motion respectively is ............

The ratio of the accelerations for a solid sphere (mass $m$ and radius $R$) rolling down an incline of angle $\theta$ without slipping and slipping down the incline without rolling is

$A$ hollow cylinder of mass $m$ and radius $R$ is spinned to a clockwise angular velocity $\omega_0$ and then gently placed on an inclined plane for which the coefficient of friction is $\mu = \tan \theta$,where $\theta$ is the angle of the inclined plane with the horizontal. The centre of mass of the cylinder will remain stationary for time:

Difficult
View Solution

$A$ solid cylinder and a solid sphere having same mass and same radius roll down on the same inclined plane. The ratio of the acceleration of the cylinder '$a_{c}$' to that of sphere '$a_{s}$' is

$A$ disc of mass $3 \, kg$ rolls down an inclined plane of height $5 \, m$. The translational kinetic energy of the disc on reaching the bottom of the inclined plane is .......... $J$. (Take $g = 10 \, m/s^2$)

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo