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In this lesson, we will learn how to solve problems on the negative mass method.

Q1:

A uniform lamina is in the form of a rectangle π΄ π΅ πΆ π· in which π΄ π΅ = 6 4 c m and π΅ πΆ = 2 4 0 c m . The corner π΄ π΅ πΈ , where πΈ is the midpoint of π΄ π· , was cut off. The resulting lamina π΄ πΆ π· πΈ was freely suspended from the vertex πΆ . Determine the size of the angle the side πΆ π΅ makes to the vertical when the lamina is hanging in its equilibrium position stating your answer to the nearest minute.

Q2:

A uniform lamina π΄ π΅ πΆ π· is in the form of a square of side length 51 cm. The points πΈ and πΉ are the midpoints of π΄ π΅ and π΄ π· , respectively. The corner π΄ πΈ πΉ has been folded over along the line πΈ πΉ so that the point π΄ aligns with π , the center of the square, as shown in the diagram. Determine the coordinates of the center of gravity of the lamina in this form.

Q3:

Find the coordinates of the centre of mass of the following figure, which is drawn on a grid of unit squares.

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