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fskondhor School Grade 8 Physics CEruTRE qF GRAVITY Centre of gravituJ$ass'l of a body is the point about which the entire weight (mass) of the body seems to act. " " " ' The centre of gravity may be regarded as the point of balance. The centre of gravity of a body is in the same position as its centre of m'ass. The centres of gravity of regular shaped objects are at their geometrical centre. For a uniform ruler, C.G is at the centre and when supported at this point it balances and when supported at any other point it topples. Square { it i * t' r Suspend the shape from a location near an edge. Drop p plumb line and mark on the object. a E , : a \-, Suspend the shape from another location net too close {o the first. Drop a plumb tine again and mark. I. 4., g /\ a 1t) \t/ 3- t= g E E *,.., ; 6 g ' E a. .E The intersection of the two lines is the center of mass. 1 Centre of gravity **, + F * & f t a 4 E a a- Poge 1 of 5 Notei Term 2, 2O1? fskondhor School Grade B Physics Topplinq + A body states stable if the vertical line ihrough its centre of gravity falls within the base. "& A hody topples if ihe vertical line tl'lrough the centre of gravity falls outside the base. Centre of gravity Weight (W) Weight (W) Stabilitv can be increased bv ,$. Lowering the centre of gravity. "I " lncreasing the base area. Racing cars have low centre of gravity and a wider wheel base for higher stability. t g , t \-- e iI .i 5 .a ta 4 a q .s .E E $' .g i E & $ { & g ig * E r!. Page ? of 5 Irlotes Term 2, 2Al2 fskondhar School Grade I Physics Stabilitv Stability is the abitity of an object to regain its original position after it has been displaced slightly. There are three types of equilibrium " o Stable equilibrium " Neutral equilibrium Unstable equilibrium Eleltessuitiuriue A body is said to be in stable equilibrium if when slightly (isplaced and then released it I, returns to its original position. e A cylinder on its base is in stable equilibrium. The vertical line from the centre of gravity falls inside the base and so, when the cylinder is displaced slightly to one side, it returns to its original position. g i Centre of gravity I 2 e t \-f t I Weight (W) Weight (w) s : E I t € I When the vertical line from the centre of gravity falls juSt outside the base, the body topples over. '-{ * _-*r Centre of gravity , 4., :I a E" r' $ { Weight (W) I * q a :c 4 * t. Poge 3 of 5 Notes Term 2, 2A1? fskondhor School U Grade 8 Physics ngtab [e equilibrilrs'n A body is said to be in unsiable equilibrium if when slightly displaced and then released moves further away from its previous position. ':" The cone is in unstable equilibrium because when it is given a small displacement it moves further away from its original position (it topples over). The vertical line from the centre of gravity soon falls outside the base and tfte bottle topples over. Centre of graviiy --- Weight (W) -- --- -FCentre of gravity weight (w) Neutral equilibrium ; A body is said to be in neutral equilibrium if it stays in its new position when displaced. a * The ball is in neutral equilibrium. When it is slightly displaced, it will stay in its position. lts centre of gravity remains at the same height. 2 L Centre gravity ; of +--_ : I € : I; Weight (W) Weight (W) 6 I 1 { .i I t&-6 * E *. f g E ! E Page 4 of 5 Notes Term 2, 2At2 fskondhor School Grade B Physics eentre of gravity Expenif,nent Aim: To find the centre'of gravity of an irregurarly shaped lamina Materials reguired: " ' o lrregular lamina Thread and a bob Nail clamped in a stand Diaqram: nailclamped in stand lamina centre of gravity t L -' .' Plumb line € .a va i a I t Procedure: * E , e E * 'i' f !& , E .l 4 a E. rq e ,E Make a hole 'A' on the lamina and hang it so that it can swing freely on a nail clamped in a stand. lt comes to rest wrth its centre of gravity verticaily berow A To find the vertical line (plumb line), tie a thread and a mass to the nailand mark its position AD on the lamina . n Now, Centre of gravity is on the line AD * Hang the lamina from another position C * Repeat the procedure and mark the plumb line ag CE + Centre of gravity lies on the line CE * centre of gravity of the irregular lamina is exactty at the point of intersection of AD and CE E B €.- € E ? 6 Poge 5 of 5 Notes Term 2, ZOI?