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

Byju's Answer

Standard XII

Physics

Angular Impulse

A cylinder of...

Question

A cylinder of height H and diameter $\frac{H}{4}$ is kept on a frictional turn table as shown in figure. The axis of cylinder is perpendicular to the surface of table and the distance of axis of cylinder is 2H from centre of table. The angular speed of turn table at which the cylinder will start toppling (assume that friction is sufficient to prevent slipping).

\sqrt{\frac{g}{2} (\frac{1}{2} - H)}

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

\sqrt{g (\frac{1}{2} - H)}

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

\sqrt{\frac{g}{4 H}}

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

\sqrt{\frac{g}{8 H}}

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

Open in App

Solution

The correct option is D $\sqrt{\frac{g}{8 H}}$
N = mg …(i)
net moment of all the forces about point P is zero.

$F . \frac{H}{2} = m g . \frac{H}{8}$
$ω = \sqrt{\frac{g}{8 H}}$ .

Suggest Corrections

Similar questions

Q. A cylinder of height

H

and diameter

\frac{H}{4}

is kept on a frictional turntable as shown in fig. The axis of the cylinder is perpendicular to the surface of the table and the distance of axis of the cylinder is 2H from the centre of the table. The angular speed of the turntable at which the cylinder will start toppling (assume that friction is sufficient to prevent slipping) is :

Q. A block of mass m is kept on rough horizontal turn table at a distance r from the centre of table. The coefficient of friction between turn table and block is

μ

. Now the turn-table starts rotating with uniform angular acceleration

α

.
a. Find the time after which slipping occurs between block and turn-table.
b. Find the angular made by friction force with velocity at the point of slipping.

Q. A block of mass

m = 20 k g

is kept at a distance

R = 1 m

from the central axis of rotation of a round turn table (a table whose surface can rotate about the central axis). Table starts from rest and rotates with constant angular acceleration,

α = 3 r a d / s e c^{2}

. The friction coefficient between the block and the table is

μ = 0.5

. At time

t = \frac{x}{30}

from the starting of the motion (i.e.

t = 0

), the block is just about to slip. The value of

x

is (

g = 10 m s^{- 2}

)

Q. A block of mass

m = 20 k g

is kept at a distance

R = 1 m

from the central axis of rotation of a round turn table (a table whose surface can rotate about the central axis). Table starts from rest and rotates with constant angular acceleration,

α = 3 r a d / s e c^{2}

. The friction coefficient between the block and the table is

μ = 0.5

. At time

t = \frac{x}{30}

from the starting of the motion (i.e.

t = 0

), the block is just about to slip. The value of

x

is (

g = 10 m s^{- 2}

)

Q. Two blocks of masses

m_{1} = 10 kg

and

m_{2} = 5 kg

connected to each other by a massless inextensible string of length

0.3 m

are placed along a diameter of a turn table. The coefficient of static friction between the table and block

m_{1}

μ = 0.5

,while there is no friction between block

m_{2}

and the table. The table is rotating with an angular speed of

10 rad/s

about a vertical axis passing through its centre

O

. The masses are placed along the diameter of turn table on either side of the centre

O

such that the mass

m_{1}

is at a distance of

0.124 m

from

O

. The masses are observed to be rotating with the turn table without slipping. Calculate the frictional force acting on block

m_{1}

Join BYJU'S Learning Program

The correct option is D √g8HN = mg …(i) net moment of all the forces about point P is zero. F.H2=mg.H8 ω=√g8H.

The correct option is D $\sqrt{\frac{g}{8 H}}$
N = mg …(i)
net moment of all the forces about point P is zero.

$F . \frac{H}{2} = m g . \frac{H}{8}$
$ω = \sqrt{\frac{g}{8 H}}$ .