Explanation Given info: The mass of the irregular object is 5.00 kg , the additional mass of 1.50 kg is added to the system in order to move the original center of gravity 2.20 cm to the left. The following figure shows the centre of gravity of the irregular shape object, Figure - (I) The given system can be considered as in equilibrium, if the vector sum of the all forces acting on the object is zero and the sum of the torques acting in the system due to external forces is zero. The following figure shows the centre of gravity of the new system after the additional mass is added, Fig-(II) In the figure, m 1 is the additional mass added to the object, m is the mass of the system by considering the additional mass and irregular object as a single object. Formula to calculate the position of the additional mass added to system by taking origin as the centre of gravity of the irregular object is, x c m = m ( x 1 ) + m 1 x 2 m + m 1 x c m is the position of new centre of gravity of the system from the original centre of gravity. m is the mass of the irregular object. x 1 is the position of mass m from the its centre of gravity. m 1 is the mass of the additional object added to the system

University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)

14th Edition

ISBN: 9780133978049

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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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 11, Problem 11.2E

To determine

The position of the centre of gravity of the additional mass added to the object.

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Chapter 11 Solutions

University Physics with Modern Physics, Volume 1 (Chs. 1-20) (14th Edition)

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The position of the centre of gravity of the additional mass added to the object.

Solution Summary: The author calculates the centre of gravity of the additional mass added to the object.

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The position of the centre of gravity of the additional mass added to the object.

Chapter 11 Solutions