Home
Class 12
PHYSICS
Five uniform circular plates, each of di...

Five uniform circular plates, each of diameter `b` and mass `m` are laid out in a pattern shown. Using the origin shown, find the `y` co-ordinate of the centre of mass of the five-plate system.
.

A

`2D//5`

B

`4D//5`

C

`D//3`

D

`D//5`

Text Solution

Verified by Experts

The correct Answer is:
B
Ans.(2)
`y_(cm)=(summ_(i)y_(i))/(summ_(i))=(mxx0+mxxD+mxx2D+mxxD+mxx0)/(m+m+m+m+m)=(4D)/(5)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two uniform thin rods each of length L and mass m are joined as shown in the figure. Find the distance of centre of mass the system from point O

Four particles of masses m, 2m, 3m, 4m are placed at corners of a square of side 'a' as shown in fig. Find out coordinateds of centre of mass.

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.

Find the centre of mass of uniform thin sheet as shown in figure.

Find the centre of mass of uniform thin sheet as shown in figure.

A thin sheet of metal of uniform thckness is cut into the shape bounded by the line x = a and y = +- kx^(2) , as shown. Find the coordinates of the centre of mass

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. The mass of the ink used to draw the outer circle is 6 m. The coordinates of the centres of the different parts are: outer cicle (0,0), left circle (-a, a), right inner circle (a,a), vertical line (0,0) and horizontal line (0 ,-a). The y-coordinate of the centre of mass of the ink in this drawing is

Infinite rods of uniform mass density and length L,L/2,L/4….. Are placed one upon another upto infinite as shown in figure. Find the x-coordinate of centre of mass.

To form a jeep, two squares of side length 10cm & 20cm and two circles of perimeter 15cm each are connected as shown. The centre of bigger square is at origin and x-y axes are as shown. The x coordinate of centre of mass of this model is :-

A uniformly thick plate in the shape of an arrow head has dimensions as shown. Find the distance of centre of mass from point O (in cm)

ALLEN -TEST PAPER-Exercise (Physics)
  1. A three part rocket begins intact as a single object in distant outer ...

    Text Solution

    |

  2. A three part rocket begins intact as a single object in distant outer ...

    Text Solution

    |

  3. Five uniform circular plates, each of diameter b and mass m are laid o...

    Text Solution

    |

  4. In the figure, the L-shaped shaded piece is cut from a metal plate of ...

    Text Solution

    |

  5. The centre of mass of a non uniform rod of length L whoose mass per un...

    Text Solution

    |

  6. Find the center of mass(x,y,z) of the following structure of four iden...

    Text Solution

    |

  7. A thick uniform wire is bent into the shape of the letter "U" as shown...

    Text Solution

    |

  8. In the given figure four rods AB,BC,CD and DA have mass m, 2m, 3m and ...

    Text Solution

    |

  9. A uniformly thick plate in the shape of an arrow head has dimensions a...

    Text Solution

    |

  10. An object comprises of a uniform ring of radius R and its uniform chor...

    Text Solution

    |

  11. In a head on collision between two identical particles A and B moving ...

    Text Solution

    |

  12. A machine gun fires 10 bullets per second in horizontal direction. Mas...

    Text Solution

    |

  13. Ball A of mass 1kg moving right with speed 2m//s bounces off ball B o...

    Text Solution

    |

  14. A cricket ball of mass 160g is moving horizontally directly towards a ...

    Text Solution

    |

  15. A particle of mass 4 m which is at rest explodes into masses m, m & 2m...

    Text Solution

    |

  16. Two girls of equal mass m jump off from the border line of a stationar...

    Text Solution

    |

  17. Two identical ball bearings in contact with each other and resting on ...

    Text Solution

    |

  18. Three different projectiles, each with the same mass, are fired with s...

    Text Solution

    |

  19. Three bodies are moving as shown below. The total kinetic energy of th...

    Text Solution

    |

  20. Two particles are projected at the same instant with speeds v(1) and v...

    Text Solution

    |