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

Find the area bounded by the parabola x^(2) = y and line y = 1 .

Find the area bounded by the parabola x^(2) = y and line y = 1 .

From a 16cmxx8cm rectangular uniform plane sheet, exactly one quarter of the sheet is removed as shown in figure. If the origin be taken at the centre of the sheet considered as shown in the figure the coordinates of the centre of mass of the remaining sheet is

From a 16cmxx8cm rectangular uniform plane sheet, exactly one quarter of the sheet is removed as shown in figure. If the origin be taken at the centre of the sheet considered as shown in the figure the coordinates of the centre of mass of the remaining sheet is

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

A uniform thin rod is bent in the form of closed loop ABCDEFA as shown in the figure. The y- coordinate of the centre of mass of the system is

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.

Find the x coordinate of the centre of mass of the bricks shown in figure :