In this lesson, we will learn how to find the center of gravity of a lamina that contains holes using the negative mass method.
Students will be able to
Q1:
The table shows the distribution of a system of masses on a uniform lamina.
Which of the following is the center of mass of this system?
Q2:
A uniform lamina of mass 15 kg has its center of mass at (2,6). If a piece of the lamina is cut out whose mass is 11 kg and whose center of mass is at (6,2), find the coordinates of the center of mass of the remaining part.
Q3:
An equilateral triangle 𝐴𝐵𝐶 has a side length of 82 cm. When three equal masses are placed at the vertices of the triangle, the centre of mass of the system is 𝐺. When the mass at vertex 𝐶 is removed, the centre of mass of the system is 𝐺′. Find the coordinates of the centre of mass of the two systems 𝐺 and 𝐺′.
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