Explanation Given info: A 5.00 kg object has centre of gravity at ( 0 , 0 ) m , a 3.00 kg object has center of gravity at ( 0 , 4.00 ) m , a 4.00 kg object has center of gravity at ( 3.00 , 0 ) m , the mass of fourth object is 8.00 kg and the centre of gravity for the complete four-object arrangement is ( 0 , 0 ) . Formula to calculate center of gravity is, ( x cm , y cm ) = ( m 1 x 1 + m 2 x 2 + m 3 x 3 + m 4 x 4 m 1 + m 2 + m 3 + m 4 , m 1 y 1 + m 2 y 2 + m 3 y 3 + m 4 y 4 m 1 + m 2 + m 3 + m 4 ) Here, m 1 is the mass of first object. m 2 is the mass of second object. m 3 is the mass of second object. m 4 is the mass of the four object. x 1 is the positions of centre of gravity of the m 1 . x 2 is the positions of centre of gravity of the m 2 . x 3 is the positions of centre of gravity of the m 3 . x 4 is the positions of centre of gravity of the m 4 . y 1 is the position of the centre of gravity of the m 1 . y 2 is the position of the centre of gravity of the m 2 . y 3 is the position of the centre of gravity of the m 3 . y 4 is the position of the centre of gravity of the m 4 . Substitute 5.00 kg for m 1 , 3.00 kg for m 2 , 4.00 kg for m 3 , 8.00 kg for m 4 , 0 m for x 1 , 0 m for x 2 , 3.00 m for x 3 , 0 m for y 1 , 4.00 m for y 2 , 0 m for y 3 and 0 m for x cm and 0 m for y cm in the above equation. ( 0 , 0 ) = ( ( 5

9th Edition

ISBN: 9780100461260

Author: SERWAY

Publisher: YUZU

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

Chapter 12, Problem 12.4P

To determine

The position of fourth mass so that center of gravity for the four object arrangement to be at (0,0) .

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Chapter 12, Problem 12.3P

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The position of fourth mass so that center of gravity for the four object arrangement to be at ( 0 , 0 ) .

Solution Summary: The author determines the position of fourth mass so that center of gravity for the four-object arrangement to be at (0,0).

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The position of fourth mass so that center of gravity for the four object arrangement to be at (0,0) .

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Chapter 12 Solutions