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
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
- A
Friction force on the disc is in backward direction till pure rolling start.
- B
Friction force between disc and plank is kinetic in nature till pure rolling start.
- C
Total momentum of system (disc and plank) is conserved.
- D
Angular momentum of disc about any point on the horizontal surface remains conserved.
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A disc of radius $R$ is rotating with an angular $\omega _0$ about a horizontal axis. It is placed on a horizontal table. The coefficient of kinetic friction is $\mu _k$.
$(a)$ What was the velocity of its centre of mass before being brought in contact with the table ?
$(b)$ What happens to the linear velocity of a point on its rim when placed in contact with the table ?
$(c)$ What happens to the linear speed of the centre of mass when disc is placed in contact with the table ?
$(d)$ Which force is responsible for the effects in $(b)$ and $(c)$ ?
$(e)$ What condition should be satisfied for rolling to begin ?
$(f)$ Calculate the time taken for the rolling to begin.
A disc of radius $R$ is rotating with an angular $\omega _0$ about a horizontal axis. It is placed on a horizontal table. The coefficient of kinetic friction is $\mu _k$.
$(a)$ What was the velocity of its centre of mass before being brought in contact with the table ?
$(b)$ What happens to the linear velocity of a point on its rim when placed in contact with the table ?
$(c)$ What happens to the linear speed of the centre of mass when disc is placed in contact with the table ?
$(d)$ Which force is responsible for the effects in $(b)$ and $(c)$ ?
$(e)$ What condition should be satisfied for rolling to begin ?
$(f)$ Calculate the time taken for the rolling to begin.
Obtain the necessary condition $v_{cm} = R\omega $ for rolling body without stepping.
Obtain the necessary condition $v_{cm} = R\omega $ for rolling body without stepping.
$A$ ring of mass $M$ and radius $R$ sliding with a velocity $v_0$ suddenly enters into rough surface where the coefficient of friction is $\mu$ , as shown in figure. Choose the correct alternative $(s)$
$A$ ring of mass $M$ and radius $R$ sliding with a velocity $v_0$ suddenly enters into rough surface where the coefficient of friction is $\mu$ , as shown in figure. Choose the correct alternative $(s)$
$A$ plank with a uniform sphere placed on it rests on a smooth horizontal plane. Plank is pulled to right by $a$ constant force $F$. If sphere does not slip over the plank. Which of the following is incorrect.
$A$ plank with a uniform sphere placed on it rests on a smooth horizontal plane. Plank is pulled to right by $a$ constant force $F$. If sphere does not slip over the plank. Which of the following is incorrect.