# CBSE Class 12-science Answered

**Find the Center of gravity**

Asked by sahilsah9211 | 21 Jun, 2023, 01:58: PM

Expert Answer

Centre of gravities of semi-circular segment, circular segment and triangle are show in the following figure.

For a semi circular segment , centre of gravity is at symmetry axis and at a distance (2/3)R from diameter , where R is radius of semi-circle.

For a circular segment , centre of gravity is at symmetry axis and at a distance (2/3)R from centre of curvature , where R is radius of semi-circle.

For a triangle , centre of gravity is at the median of triangle and at a distance (1/3)h from base .

The given shape can be divided into six areas each having a standard shape like semi-circle, circular segment and triangle as shown below

Area A

_{1}is semi-circle of radius 4m . Area A_{2}and A_{3}are circular segment of radius 4 m .Area A

_{4}is isoceless triangle of height 3 m and base 6m. Area A_{5}is isoceless triangle of height 4 m and base 6 m.Area A

_{6}is cut-out portion from the given shape which is a semicircle of radius 2m.As shown in figure , given shape is symmetrically placed on y-axis . Hence x-coordinate of centre of gravity is zero.

Y-coordinate of center of gravity Y is calculated from the following equation.

.........................(1)

Where A

_{1}, A_{2}, .......A_{5}and A_{6}are respective areas of parts and y_{1 }, y_{2}, ............y_{5}and y_{6}arey-coordinates of centre of gravity of respective part.

A

_{T}is total area.Total area A

_{T }isBy substituting relevant values in eqn.(1), we get y-coordinate of centre of gravity as

Answered by Thiyagarajan K | 23 Jun, 2023, 12:22: AM

## Concept Videos

CBSE 12-science - Physics

Asked by shivashikhar69 | 09 Dec, 2023, 02:27: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by nikhilsai2616 | 19 Nov, 2023, 01:05: AM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by mahantabibhutibhusan261 | 06 Nov, 2023, 09:04: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by tannusharan31 | 05 Nov, 2023, 05:31: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by simransimranpradhan28 | 21 Oct, 2023, 11:06: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by snehashiragannavar773 | 21 Oct, 2023, 02:38: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by glorialyanzaw | 13 Oct, 2023, 05:53: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by manishakumariroy321 | 10 Oct, 2023, 09:02: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by 11soumya09 | 29 Sep, 2023, 07:35: PM

ANSWERED BY EXPERT

CBSE 12-science - Physics

Asked by santhoshsindoora | 27 Sep, 2023, 08:26: PM

ANSWERED BY EXPERT