Home
Class 11
PHYSICS
Two small wooden blocks are placed on a ...

Two small wooden blocks are placed on a crircular rotating table of radius 1 m at distance 10 cm and 60 cm from the centre of the table the table is rotating with angular velocity `4 rad// s` , about the axis of rotation . Out of these two blocks , which one continues to revolve with the table ? Give `mu = 0.2 ` .

Text Solution

Verified by Experts

Here, ` r = 1 m , omega = 4 rad s^(-1),mu = 0.2`
The wooden block will continue to revolve with the table till force of friction is greater than or atleast equal to centripetal force required by it i.e,
`F ge mr omega^(2)` or `muR ge mr omega^(2)` or m`u ge mr omega^(2) `
` (mug)/(omega^(2) l)ge r or r le(mug)/(omega^(2)) i. e r le(0.2 xx 9.8)/(4)^(2)`
`r le 0. 123 m` or `r le 12 .3 cm`
`:.` The block placed at 10 cm will revolve with the table.
Promotional Banner

Similar Questions

Explore conceptually related problems

A coin is place at a distance 9 cm from centre on a rotating turn table slip. If the angular velocity of the turn table is tripled, then the distance ofn the coin from the centre will be

A coin placed on a rotating turn table just slips if it is placed at a distance of 8 cm from the centre. If angular velocity of the turn table is doubled . It will just slip at a distance of

A coin placed on a rotating table just slip when it is placed at a distance 4 r from the centre, on doubling the angular velocity of the table , the coin will just slip now the coin is at a distance from centre is

A unifrom circular disc of mass 200g and radius 4 cm is rotated about one of its diameters at an angular speed of 10 rad//s . Find its abgular momentum about the axis of rotation ?

A rod of mass 2 kg ad length 2 m is rotating about its one end O wth an angular velocity omega=4rad//s . Find angular momentum of the rod about the axis rotation.

A ring of radius 0.5 m and mass 10 kg is rotating about its diameter with angular velocity of 20 rad/s. Its KE is :-

A small objective placed on a rotating horizontal trun table just slip when it is placed at a distance 4cm from the axis of rotation. If the angular velocity of the trun-table doubled, the objective slip when its distance from the axis of ratation is.

A circular of radius 20 cm is rotating about its own axis at an angular velocity omega . The angular velocity of a particle 'A' which is at a distance 10 cm from the axis of rotation is

A homogeneous disc of mass 2 kg and radius 15 cm is rotating about its axis with an angular velocity of 4 rad/s. the linear momentum of the disc is

Two blocks of mass m_(1)=10kg and m_(2)=5kg connected to each other by a massless inextensible string of length 0.3m are placed along a diameter of the turntable. The coefficient of friction between the table and m_(1) is 0.5 while there is no friction between m_(2) and the table. the table is rotating with an angular velocity of 10rad//s . about a vertical axis passing through its center O . the masses are placed along the diameter of the table on either side of the center O such that the mass m_(1) is at a distance of 0.124m from O . the masses are observed to be at a rest with respect to an observed on the tuntable (g=9.8m//s^(2)) . (a) Calculate the friction on m_(1) (b) What should be the minimum angular speed of the turntable so that the masses will slip from this position? (c ) How should the masses be placed with the string remaining taut so that there is no friction on m_(1) .