A bead of mass $m$ slides on a hemispherical surface with a velocity $v$ at an angular position $θ$ . If the coefficient of friction between the bead and hemispherical surface is $μ$ , Find the magnitude of Angular momentum of the bead about $O$ in the position shown.

Open in App

Solution

The magnitude of Angular momentum of the bead about $O$ is $m v R$

Suggest Corrections

Similar questions

Q. A coin is pushed down tangentially from an angular position

θ

on a cylindrical surface, with a velocity v as shown in the Fig. If the coefficient of friction between the coin and surface is

μ

, find friction between the tangential acceleration of the coin.

Q. A small bead of mass

m = 1 kg

is carried by a circular hoop having centre at

C

and radius

r = 1 m

which rotates about a fixed vertical axis (as shown). The coefficient of friction between bead and hoop is

μ = 0.5

. The maximum angular speed of the hoop in

rad/s

for which the bead does not have relative motion with respect to hoop: initial position of bead is shown in figure. Answer upto 2 decimal places.

A small bead of mass $m = 1 kg$ is carried by a circular hoop having centre at $C$ and radius $r = 1 m$ which rotates about a fixed vertical axis (as shown). The coefficient of friction between bead and hoop is $μ = 0.5$ . The maximum angular speed of the hoop in $rad/s$ for which the bead does not have relative motion with respect to hoop: initial position of bead is shown in figure. Answer upto 2 decimal places.

Q. A bead of mass m kept at the top of a smooth hemispherical wedge of mass M and radius R, is gently pushed towards right. As a result, the wedge slides due left. Find the a. speed of the wedge
b. magnitude of velocity of the bead relative to the wedge

A coin is pushed down tangentially from an angular position $θ$ on a cylindrical surface, with a velocity v as shown in the figure. If the coefficient of friction between the coin and surface is $μ$ , find the tangential acceleration of the coin.

Join BYJU'S Learning Program

A bead of mass m slides on a hemispherical surface with a velocity v at an angular position θ. If the coefficient of friction between the bead and hemispherical surface is μ, Find the magnitude of Angular momentum of the bead about O in the position shown.

The magnitude of Angular momentum of the bead about O is mvR

A bead of mass $m$ slides on a hemispherical surface with a velocity $v$ at an angular position $θ$ . If the coefficient of friction between the bead and hemispherical surface is $μ$ , Find the magnitude of Angular momentum of the bead about $O$ in the position shown.

The magnitude of Angular momentum of the bead about $O$ is $m v R$