From a uniform square plate, one-fourth ...

From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on

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From a uniform square plate the shaped portions are removed as shown in figure. The coordinates of centre of mass of the remaining plate are x,y Axes and origon are shown in figure.

Figure shows a square plate of uniform thickness and side length sqrt 2 m . One fourth of the plate is removed as indicated. The distance of centre of mass of the remaining portion from the centre of the original square plate is

A square plate of edge a//2 is cut out from a uniform square plate of edge 'a' shown in figure. The mass of the remaining portion is M . The moment of inertia of the shaded portion about an axis passing through 'O'( centre of the square of side a) and perpendicular to plane of the plate is :

A semicircular portion of radius 'r' is cut from a uniform rectangular plate as shown in figure. The distance of centre of mass 'C' of remaining plate, from point 'O' is

In the figure shown a semicircular area is removed from a uniform square plate of side l and mass ‘m’ (before removing). The x-coordinate of centre of mass of remaining portion is (The origin is at the centre of square)

A square of side a and uniform thickness is divided into four equal parts. If upper right part is removed, then find the coordinates of centre of mass of remaining part. .

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.

From a square sheet of uniform density , a portion a removed shown shaded in fig. Find the centre of msas of the remaining portion is the side of the square is alpha

From a uniform circular dis of radius R , a circular dis of radius R//6 and having centre at a distance R//2 from the centre of the disc is removed. Determine the centre of mass of remaining portion of the disc.

Fig. shown a uniform square plate from identical squares at the corners can be removed. (a) Where is the centre of mass of the plate originally ? (b) Where is it after square 1 is removed ? (c ) where is it after squares 1 and 2 are removed ? (d) Where is c.m after squares 1, 2, 3, are removed ? (f) Where is c.m after all the four squares are removed ? Answer in terms of quadrants and axes.

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