A disc having velocity $v_0$ and angular speed ${\omega _0}$ in anticlockwise direction kept on the rough plank. Initially plank is at rest. (assuming length of plank is very large) Choose $INCORRECT$ option
Friction force on the disc is in backward direction till pure rolling start.
Friction force between disc and plank is kinetic in nature till pure rolling start.
Total momentum of system (disc and plank) is conserved.
Angular momentum of disc about any point on the horizontal surface remains conserved.
A disc rotating about its axis with angular speed $\omega_{o}$ is placed lightly (without any translational push) on a perfectly frictionless table. The radius of the disc is $R$. What are the linear velocities of the points $A, B$ and $C$ on the disc shown in Figure? Will the disc roll in the direction indicated ?
On a solid sphere lying on a horizontal surface a force $F$ is applied at a height of $R/2$ from the centre of mass. The initial acceleration of a point at the top of the sphere is (there is no slipping at any point)
A uniform solid cylindrical roller of mass $'m'$ is being pulled on a horizontal surface with force $F$ parallel to the surface and applied at its centre. If the acceleration of the cylinder is $'a'$ and it is rolling without slipping then the value of $'F'$ is
In the given figure a ring of mass $m$ is kept on a horizontal surface while a body of equal mass $'m'$ attached through a string, which is wounded on the ring. When the system is released the ring rolls without slipping. Consider the following statements and choose the correct option.
$(i)$ acceleration of the centre of mass of ring is $\frac{g}{3}$
$(ii)$ acceleration of the hanging particle is $\frac{2g}{3}$
$(iii)$ frictional force (on the ring) acts along forward direction
$(iv)$ frictional force (on the ring) acts along backward direction
A boy is pushing a ring of mass $2 \ kg$ and radius $0.5 \ m$ with a stick as shown in the figure. The stick applies a force of $2 \ N$ on the ring and rolls it without slipping with an acceleration of $0.3 \ m / s ^2$. The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is $(P / 10)$. The value of $P$ is