Home
Class 12
PHYSICS
A solid sphere of mass m & radius R is c...

A solid sphere of mass m & radius R is cut into two equal parts and kept as shown. Find the height of centre of mass from the ground.

A

`R/2`

B

`(3R)/8`

C

`(7R)/8`

D

`(9R)/8`

Text Solution

Verified by Experts

The correct Answer is:
C
`y_(cm)=(m/2xx(3R)/8+m/2xx((3R)/8+R))/m`
`(3R)/16+(3R)/16+R/2`
`=(3R+4R)/8=(7R)/8`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (A)|32 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART (B)|3 Videos

  • TEST PAPERS

    BANSAL|Exercise PHYSICS PART- C|4 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

From a hemisphere of radius R a cone of base radius R/w and height R is cut as shown in figure. Find the height of centre of mass of the remaining object.

Three solid spheres of mass M and radius R are placed in contact as shown in figure. Find the potential energy of the system ?

A solid sphere of mass M and radius R is divided into two unequal parts. The first parts has a mass of (7M)/8 and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere. Let I_(1) be the moment of inertia of the uniform disc about its axis and I_(2) be the moment of inertia of the sphere made from remaining part about its axis. The ratio I_(1)//I_(2) is 140/x . Find the value of x.

A uniform sphere has radius R . A sphere of diameter R is cut from its edge as shown. Then the distance of centre of mass of remaining portion from the centre of mass of the original sphere is

A solid hemisphere of radius R is mounted on a solid cylinder of same radius and density as shown .the height of cylinder is such that the resulting centre of mass is at O. if radius of sphrere is 2sqrt(2)m , what is the height of the cylinder (in m ) ?

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A solid sphere of mass M and radius R is pulled horizontally on a rough surface as shown in Fig. Choose the incorrect alternatives.

A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the figure. A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if rltxlt2r

BANSAL-TEST PAPERS-PHYSICS
  1. During the winter vacation, children use snow and water to build frict...

    Text Solution

    |

  2. If energy (E ) , velocity (V) and time (T) are chosen as the fundament...

    Text Solution

    |

  3. A solid sphere of mass m & radius R is cut into two equal parts and ke...

    Text Solution

    |

  4. A block is connected to a relaxed spring and kept on a smooth floor. T...

    Text Solution

    |

  5. Two blocks sit on a horizontal frictionless surface connected to an id...

    Text Solution

    |

  6. A flexible smooth track is fixed in two alternate arrangments, as show...

    Text Solution

    |

  7. Two masses m(1)and m(2) are connected by a massless spring of spring c...

    Text Solution

    |

  8. Two identical rings A and B are acted upon by torques tau(A) and tau(B...

    Text Solution

    |

  9. A unifrom solid disk of radius R and mass M is free to rotate on a fri...

    Text Solution

    |

  10. A 60 cm metal rod M(1) is joined to another 100 cm metal rod M(2) to f...

    Text Solution

    |

  11. A body is subjected to a conservative force given by F=b-2ax where a ...

    Text Solution

    |

  12. Two plates each of mass m are connected by a massless spring shown ...

    Text Solution

    |

  13. A bullet is fired normally towards an immovable wooden block. If it lo...

    Text Solution

    |

  14. A ship is travelling due north at 40 kmph. The captain of the finds th...

    Text Solution

    |

  15. As shown in the figure, a wedge of mass M is placed on a smooth incli...

    Text Solution

    |

  16. A small 1.0 kg mass is launched form the top of the cliff with speed V...

    Text Solution

    |

  17. A samll object of mass 10.0 g is at rest 30.0 cm from a horizontal dis...

    Text Solution

    |

  18. A different force is applied to each of four 1-kilogram blocks to slid...

    Text Solution

    |

  19. A small block of mass m(1) is released from rest at the top of a curve...

    Text Solution

    |

  20. A juggler tosses a ball up in the air with initial speed u. at the ins...

    Text Solution

    |