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Figure shows a disc of radius R=20cm wit...

Figure shows a disc of radius R=20cm with a portion of it removed symmetrically. The removed part is a disc of radius R/2. The removed part is now placed in contact with the larger disc. Centres of all the three discs lie on x-axis. Disc has uniform mass distribution. With respect to origin at centre of larger disc find x-coordinate of center of mass of system (in cm).

Answer

Step by step text solution for Figure shows a disc of radius R=20cm with a portion of it removed symmetrically. The removed part is a disc of radius R/2. The removed part is now placed in contact with the larger disc. Centres of all the three discs lie on x-axis. Disc has uniform mass distribution. With respect to origin at centre of larger disc find x-coordinate of center of mass of system (in cm). by PHYSICS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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The given figure shows a disc of radius R=20 cm with a portion of it removed symmetrically. The removed part is a disc, of radius R / 2 . The removed part is now placed in contact with the larger disc as shown in the figure. The disc has uniform mass distribution. With respect to origin O at centre of larger disc, find x -coordinate (in cm ) of the centre of mass of system. '(##CEN_KSR_PHY_JEE_C08_E01_011_Q07##)'

Determine the coordinates of centre of mass of a half disc. Of mass M and radius R, assuming uniform mass disribution.

Knowledge Check

  • A disc of radius r is cut from a larger disc of radius 4r in such a way that the edge of the hole touches the edge of the disc. The centre of mass of the residual disc will be a distance from centre of larger disc :-

    A
    `(r)/(5)`
    B
    `(r)/(4)`
    C
    `(r)/(2)`
    D
    `(r)/(3)`
  • A circular disc of radius 20cm is cut from one edge of a larger circular disc of radius 50cm . The shift of centre of mass is

    A
    `5.7 cm`
    B
    `-5.7 cm`
    C
    `3.2 cm`
    D
    `-3.2 cm`
  • The moment of inertia of a uniform circular disc of radius R and mass M about an axis passing from the edge of the disc and normal to the disc is

    A
    `MR^(2)`
    B
    `1/2MR^(2)`
    C
    `3/2MR^(2)`
    D
    `7/2MR^(2)`
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