You visited us 1 times! Enjoying our articles? Unlock Full Access!

System, Surroundings, Intensive, Extensive Properties

A uniform met...

Question

A uniform metallic spherical shell is suspended from ceiling. It has two holes A and B at top and bottom respectively.

If B is closed and sand in poured from A, centre of mass first rises and then falls.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

If shell is completely filled with sand and B is opened then centre of mass falls initially and then rises

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

If shell is slightly filled with sand and B is opened, then centre of mass falls continuously

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
If shell is completely filled with sand and B is opened then centre of mass falls initially and then rises

When shell is empty, the centre of mass coincides with centre of the shell. If lower hole B is closed and sand is poured from the upper hole A, Then the lower part of the shell becomes heavier than upper part, therefore the centre of mass falls. But when the shell gets filled completely, the centre of mass coincides again with centre of the shell. Hence A is wrong.
If shells is completely filled and the hole B is opened, then centre of mass falls initially and then rises and coincides with centre of the shell again. Hence B is correct.

Suggest Corrections

Similar questions

Q. A uniform metallic spherical shell is suspended from ceiling. It has two holes

A

and

B

at top and bottom respectively. Which of the following is true ?

Q. A uniform metal sphere of radius

R

and mass m is surrounded by a thin uniform spherical shell of same mass and radius

4 R

The centre of the shell

C

falls on the surface of the inner sphere. Find the gravitational fields at points A and B.

Q. A uniform metal sphere of radius

(a)

and mass

(m)

is surrounded by a thin, uniform spherical shell of equal mass and radius

(4 a)

. The centre of the shell falls on the surface of the inner sphere. Find the gravitational field ratio at the points

P_{1} a n d P_{2}

shown in figure:

Q. A spherical shell of mass

m

and radius

R

filled completely with a liquid of same mass and set to rotate about a vertical axis through its centre has a moment of inertia

I_{1}

about the axis

.

The liquid starts leaking out of the hole at the buttom

.

If moment of inertia of the system is

I_{2}

when the shell is half filled and

I_{3}

is the moment of inertia when entire water drained off

.

then

:

The figure shows a uniform spherical shell of mass M. The point A is not at the centre but away from the centre of the shell. If a particle of mass m is placed at A, then

Join BYJU'S Learning Program