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Chapter 12: Q. 6 (page 330)

The three masses shown in FIGURE EX12.6 are connected by massless, rigid rods. What are the coordinates of the center of mass?

Short Answer

Expert verified

The position of the center of mass is(1.67cm,3.33cm)

Step by step solution

01

Step 1. Given information

Let us assume that the mass 300gbe at origin.

The co-ordinates of ball A 300gis (0,0)

The co-ordinates of ball 200gB is (0,10cm)

The co-ordinates of ball 100gC is (10cm,0)

02

Step 2. Explanation

The x-coordinate of center of mass is,

xcm=mAxA+mBxB+mCxCmA+mB+mCxcm=(300g)(0cm)+(200g)(0cm)+(100g)10cm100g+200g+300gxcm=1.67cm

The Y-coordinate of center of mass is,

ycm=mAyA+mByB+mCyCmA+mB+mCycm=(100g)(0cm)+(200g)(10cm)+(300g)(0cm)100+200+300ycm=3.33cm

Therefore, the position of the center of mass is (1.67cm,3.33cm).

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