Home
Class 11
PHYSICS
Consider a rectangular plate of dimensio...

Consider a rectangular plate of dimensions `axxb`. If this plate is considered to be made up of four rectangles of dimensions `a/2xxb/2` and we now remove one out of four rectangles. Find the position where the centre of mass of the remaining system will lie?

Text Solution

Verified by Experts

The correct Answer is:
`x_(cm)=-(a)/(12),y_(cm)=(b)/(12)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-1 [SINGLE CORRECT CHOICE TYPE]|23 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-2 [PARAGRAPH TYPE]|10 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise Solved Examples|15 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -4 Section - B|6 Videos

Similar Questions

Explore conceptually related problems

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 square of side 4 cm and of uniform thickness is divided into four equal squares. If one of them is cut off (OECF), then the position of the centre of mass of the remaining portion from O is (sqrt2)/k cm . Find the value of K.

A rectangular plate of dimensions l xx b is in x -y plane as shown in Fig. If the portion of this plate lying in quadrant I is removed, find the position of centre of mass of remaining part of plate.

Rectangle MNOP is made up of four congruent rectangles (Fig. 9.31). If the length of one of the rectangle is 8 m and breadth is 2 m, then find the perimeter of MNOP.

Four particles of mass m are connected by massless rods to form a rectangle-of sides 2a and 2b as shown. The assembly, rotates about an axis in the plane of the figure through the centre. Find the moment of inertia about the axis:,

The centre of mass of three particles of masses 1 kg, 2kg and 3 kg lies at the point (3m, 3m, 3m) where should a fourth particles of mass 4 kg be positioned so that centre of mass of the four particle system at (1m, 1m, 1m) ?

The centre of mass of three particles of masses 1kg, 2 kg and 3kg lies at the point (3m, 3m, 3m). Where should a fourth particle of mass 4 kg be positioned so that the centre of mass of the four particle system lies at the point (1m, 1m, 1m)?

There is a rectangular metal plate in which two cavities in the shape of rectangle and circle are made, as shown with dimensions. P and Q are the centres of these cavities. On heating the plate, which of the following quantities increases?

The coordinates of the centre of mass of a system of three particles of mass 1g,2g and 3g are (2,2,2). Where should a fourth particle of mass 4 g be positioned so that the centre of mass of the four particle system is at the origin of the three-dimensional coordinate system ?

Four point particles of masses 1.0 kg, 1.5 kg, 3.0 kg and 2.5 kg are placed at four corners of a rectangle of sides 4.0 cm and 3.0 cm as shown in the figure. The centre of mass of the system is at a point:

BANSAL-CENTRE OF MASS & MOMENTUM CONSERVATION-Practice Exercise
  1. If all the particlke of a system lie in X-Y plane is it necessary that...

    Text Solution

    |

  2. If all the particle of a system lie n a cube is it necessary that the...

    Text Solution

    |

  3. Find centre of mass of a system of three particle kept at the corner e...

    Text Solution

    |

  4. Find the Xcm of center of mass of a barbell consisting of 50kg and 80k...

    Text Solution

    |

  5. Consider the previous problem, at what point must the rod be picked ov...

    Text Solution

    |

  6. A baseball bat of uniform density is cut at the location of its center...

    Text Solution

    |

  7. Calculate centre of mass of the system

    Text Solution

    |

  8. Seven homogeneous bricks, each of length L are arranged as shown in fi...

    Text Solution

    |

  9. Consider a rectangular plate of dimensions axxb. If this plate is cons...

    Text Solution

    |

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

    Text Solution

    |

  11. The ring R in the arrangement shown can slide along a smooth fixed, ho...

    Text Solution

    |

  12. This figure shows a man of mass m standing at the end A to a trolley o...

    Text Solution

    |

  13. A man of mass 60kg jumps from a trolley of mass 20kg standing on smoot...

    Text Solution

    |

  14. Three particles of masses 20g, 30g and 40g are initially moving along ...

    Text Solution

    |

  15. A bullet of mass m strikes a block of mass M connected to a light spri...

    Text Solution

    |

  16. Find the final velocities of the masses after in collision the given s...

    Text Solution

    |

  17. Two spheres are moving towards each other. Both have same radius but t...

    Text Solution

    |

  18. Two spheres are moving towards each other. Both have same radirs but t...

    Text Solution

    |

  19. A ball of mass m moving with a speed u(1) collides elasticity with ano...

    Text Solution

    |

  20. Two equal sphere of mass m are in contact o a smooth horizontal table....

    Text Solution

    |