Home
Class 12
PHYSICS
From a circular disc of radius R, a tria...

From a circular disc of radius `R`, a triangular portion is cut (sec figure). The distance of the centre of mass of the remainder from the centre of the disc is `-`

A

`(4R)/(3(pi-2))`

B

`(2R)/(3(pi-2))`

C

`(5R)/(7(pi-2))`

D

`(R)/(3(pi-1))`

Text Solution

Verified by Experts

The correct Answer is:
D

Ans.(4)
Lot mass per area be `sigma`

`Y_(cm)=(M_(1)(0)-M_(2)((R)/(3)))/(M_(1)-M_(2))=(-R)/(3(pi-1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The figure shows a disc of radius 3R from which a circular hole of radius R is cut as shown in the figure. The distance of the centre of mass of the remaining object from the point O is

Find the centre of mass of the shaded portion of a disc.

Knowledge Check

  • A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumference of the disc coincide. the centre of the mass of the new disc from the centre of bigger disc is is

    A
    `R/3`
    B
    `R/2`
    C
    `R/6`
    D
    `R/4`
  • A circular hole of raidus 1 cm is cut off from a disc of radius 6 cm. The centreof the hole is 3 cm from the centre of the disc. Then the distance of the centre of mass of the remaining disc from the centre of the disc is

    A
    `3/35 cm`
    B
    `1/35cm`
    C
    `3/10cm`
    D
    None of these
  • A circular disc of radius R is removed from a bigger circular disc of radius 2R, such that the circumference of the disc coincides. The centre of mass of the new disc is αR from the centre of bigger disc. The value of alpha is

    A
    `1/3`
    B
    `1/2`
    C
    `1/6`
    D
    `1/4`
  • Similar Questions

    Explore conceptually related problems

    Find the centre of mass of the shaded portion of a disc

    From a uniform circular dis of radius R , a circular dis of radius R//6 and having centre at a distance R//2 from the centre of the disc is removed. Determine the centre of mass of remaining portion of the disc.

    A circular hole is cut from a disc of radius 6 cm in such a way that the radius of the hole is 1 cm and the centre of 3 cm from the centre of the disc. The distance of the centre of mass of the remaining part from the centre of the original disc is

    A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumference of the discs coincoid . The centre of mass of the new disc is alphaR from the centre of the bigger disc . the value of alpha is

    A circular disc of radius R is removed from a bigger of the discs coincide. The centre of mass of the new disc is ar from the centre of the bigger disc. The value of alpha is