Home
Class 11
PHYSICS
A heavy circular disc is revolving in a ...

A heavy circular disc is revolving in a horizontal plane about the centre which is fixed. An insect of mass `1/n th` that of the disc walks from the centre along a radius and then flies away. Show that the final angular velocity is `n/(n+2)` times the original angular velocity of the disc.

Text Solution

Verified by Experts

`I_(1)omega_(2) =I_(2)omega_(2) , (1//2) mr^(2) + (1//n) mr^(2)]omega_(2), omega_(2) = nomega_(1)//n +2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCULAR MOTION

    ICSE|Exercise MODULE 2 (FROM ANGULAR MOMENTUM - CONSERVATION)|14 Videos
  • COMPETITION CARE UNIT

    ICSE|Exercise OBJECTIVE QUESTIONS FROM PREVIOUS IAS EXAMINATIONS |50 Videos

Similar Questions

Explore conceptually related problems

A circular disc is made to rotate in horizontal plane about its centre at the rate of 2 rps. The greatest distance of a coin placed on the disc from its centre so that it does not skid is ( mu is coefficient of friction)

A thin horizontal circular disc is roating about a vertical axis passing through its centre. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc.

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity omega . Another disc of same dimensions but of mass (1)/(4) M is placed gently on the first disc co-axially. The angular velocity of the system is

A uniform rod of mass m and length L lies radialy on a disc rotating with angular speed omega in a horizontal plane about vertical axis passing thorugh centre of disc. The rod does not slip on the disc and the centre of the rod is at a distance 2L from the centre of the disc. them the kinetic energy of the rod is

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity omega. another disc of the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is 2 omega //sqrt5.

A cockroach is moving with velocity v in anticlockwise direction on the rim of a disc of radius R of mass m . The moment of inertia of the disc about the axis is I and it is rotating in clockwise direction with an angular velocity omega . If the cockroach stops, the angular velocity of the disc will be

A man of mass m stands on a horizontal platform in the shape of a disc of mass m and radius R , pivoted on a vertical axis thorugh its centre about which it can freely rotate. The man starts to move aroung the centre of the disc in a circle of radius r with a velocity v relative to the disc. Calculate the angular velocity of the disc.

The angular velocity of circular disc of radius 2cm is 20 rad s^(-1) . Calculate the linear velocity of the disc.

The angular velocity of circular disc of radius 2cm is 20 rad s^(-1) . Calculate the linear velocity of the disc.

A round disc of moment of inertia I_2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_1 rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of discs is.