Supplement to High school physical science . are 20 inches. If BD = 24 inches, find the distance ofthe centre of gravity from A. 21. The sides of a five-sided board ABCDE are each = a, and theangles A and E are right angles. Prove that the distance of the centre of gravity from the side AE = 14 + 3/3—20— C 22. G is the centre of gravity of a triangle A line isdrawn from G parallel to BC cutting AB, AC in P and Q. Showthat the centre of gravity of PBCQ divides GD in the ratio of 8; 7,D being the middle point of BC. 23. ABCD is a square plate, E and F being the middle points ofthe sides AB
Supplement to High school physical science . are 20 inches. If BD = 24 inches, find the distance ofthe centre of gravity from A. 21. The sides of a five-sided board ABCDE are each = a, and theangles A and E are right angles. Prove that the distance of the centre of gravity from the side AE = 14 + 3/3—20— C 22. G is the centre of gravity of a triangle A line isdrawn from G parallel to BC cutting AB, AC in P and Q. Showthat the centre of gravity of PBCQ divides GD in the ratio of 8; 7,D being the middle point of BC. 23. ABCD is a square plate, E and F being the middle points ofthe sides AB and BC ; the plate is bent along EF so that thetriangle EBF lies flat on the other side of the plate. Find thecentre of gravity. 8. Given the weight and centre of^gravity of a body, and the weight fand centre of gravity of a portionof it, to find the centre of gravityof the remaining portion. Let W be the weight of the bodyand G its centre of gravity, and letWj be the weight and Gx the centre of gravity of thegiven portion. (Fig. 22.). w-w, Fig. 22. 60 SUPPLEMENT TO HIGH SCHOOL PHYSICAL SCIENCE. Then if G2 be the centre of gravity of the remainder itmust be in GXG produced at such a distance that (W - W1)xGG2 = W1xGG1 or GG,= Wl xGGv 2 w - W, 1 EXERCISE XII. 1. ABCD is a .square whose middle point is E and whose side = the triangle ECD is removed, find the centre of gravity of theremainder. 2. E and F are the middle points of the sides AB, AC of anequilateral triangle ABC. If the portion AEF is removed, findthe centre of gravity of the remainder. 3. ABCD is a square, O its centre, E and F the middle points ofAB, AD. If AEF is cut away, find G, the centre of gravity of theremainder. 4. From a square piece of paper ABCD a portion is cut away inthe form of an isosceles triangle whose base is AB and altitudeequal to one-third AB. Find the centre of gravity of the remainingportion. 5. ABCD is a rectangle, E the middle point of CD ; the triangleADE is cut away. Find the cen
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