Home
Class 11
PHYSICS
From a uniform circular disc of diameter...

From a uniform circular disc of diameter `d,a` circular disc of diameter `d//6` and having centre at a distance `d//4` from the centre of the disc is scooped out. Determine the centre of mass of remaining portion.

Text Solution

AI Generated Solution

To determine the center of mass of the remaining portion of a uniform circular disc after scooping out a smaller disc, we can follow these steps: ### Step 1: Define the Parameters - Let the diameter of the larger disc be \( d \). Therefore, its radius \( R \) is given by: \[ R = \frac{d}{2} \] - The diameter of the smaller disc being scooped out is \( \frac{d}{6} \), which means its radius \( r_s \) is: ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise VALUE BASED QUESTIONS|5 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise CURIOSITY QUESTIONS|4 Videos
  • SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

    PRADEEP|Exercise ADDITIONAL EXERCISES|11 Videos
  • RAY OPTICS

    PRADEEP|Exercise Problem For Practice(a)|25 Videos
  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

From a uniform circular disc of diameter D, a circular disc or hole of diameter D//6 and having its centre at a distance of D//4 from the centre of the disc is scopped out. Determine the centre of mass of the remaining portion.

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 disc of radius (R)/(4) is cut from a uniform circular disc of radius R. The centre of cut portion is at a distance of (R)/(2) from the centre of the disc from which it is removed. Calculate the centre of mass of remaining portion of the disc.

From a uniform disc of radius R , a circular section of radius R//2 is cut out. The centre of the hole is at R//2 from the centre of the original disc. Locate the centre of mass of the resulating flat body.

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

A uniform circular plate of uniform thickness has a diameter of 56 cm. A circular portion of diameter 42 cm is removed from the edge of the plate. Find the position of the centre of mass of the remaining portion.

A circular plate of uniform thickness has a diameter fo 56cm. A circular portion of diameter 42 cm is removed from one edge of the plate as shown in figure. Find the position of the centre of mass of the remaining portion.

A circular plate of uniform thickness has a diameter of 28 cm . A circular portion of diameter 21 cm is removed from the plate as shown. O is the centre of mass of complete plate. The position of centre of mass of remaining portion will shift towards left from 'O' by