Home
Class 11
PHYSICS
A particle is placed at rest inside a ho...

A particle is placed at rest inside a hollow hemisphere of radius `R`. The coefficient of friction between the particle and the hemisphere is `mu = (1)/sqrt(3)`. The maximum height up to which the particle can remain stationary is

A

`(R )/(2)`

B

`(1-(sqrt(3))/(2))R`

C

`(sqrt(3))/(2)R`

D

`(3R)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If the coefficient of friction between an insect and bowl is mu and the radius of the bowl is r, find the maximum height to which the insect can crawl in the bowl.

If the coefficient of friction between an insect and bowl is mu and the radius of the bowl is r, find the maximum height to which the insect can crawl in the bowl.

A rough horizontal plate rotates with angular velocity omega about a fixed vertical axis. A particle or mass m lies on the plate at a distance (5a)/(4) from this axis. The coefficient of friction between the plate and the particle is (1)/(3) . The largest value of omega^(2) for which the particle will continue to be at rest on the revolving plate is

If the coefficient of friction between M and the inclined surfaces is mu = 1//sqrt(3) find the minimum mass m of the rod so that the of mass M = 10 kg remain stationary on the inclined plane

A particle is projected with a speed v_(0) = sqrt(gR) . The coefficient of friction the particle and the hemi- spherical plane is mu = 0.5 Then , the acceleration of the partical is

A car is taking turn on a circular path of radius R. If the coefficient of friction between the tyres and road is mu , the maximum velocity for no slipping is

A particle of mass 0.1kg is launched at an angle of 53^(@) with the horizontal . The particle enters a fixed rough hollow tube whose length is slightly less than 12.5m and which is inclined at an angle of 37^(@) with the horizontal as shown in figure. It is known that the velocity of ball when it enters the tube is parallel to the axis of the tube. The coefficient of friction betweent the particle and tube inside the tube is mu=(3)/(8)[ Take g=10m//g^(2)] The velocity of the particle as it enters the tube is :

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A particle of mass 0.1kg is launched at an angle of 53^(@) with the horizontal . The particle enters a fixed rough hollow tube whose length is slightly less than 12.5m and which is inclined at an angle of 37^(@) with the horizontal as shown in figure. It is known that the velocity of ball when it enters the tube is parallel to the axis of the tube. The coefficient of friction betweent the particle and tube inside the tube is mu=(3)/(8)[ Take g=10m//g^(2)] The distance from the point of projection where the particle will land on the horizontal plane after coming out from the tube is approximately equal to :