A uniform rectangular sheet measures 8 cm by 6 cm and has its lower-left corner at…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform rectangular sheet measures 8 cm by 6 cm and has its lower-left corner at the origin with edges along the axes. A smaller rectangular section 2 cm wide and 3 cm tall is cut out of the sheet; this void occupies the region 6 cm≤x≤8 cm6\,\text{cm}\le x\le8\,\text{cm} and 0 cm≤y≤3 cm0\,\text{cm}\le y\le3\,\text{cm}. Calculate the coordinates (xCM,yCM)(x_{CM},y_{CM}) of the center of mass of the remaining shape. (a) (3.6 cm,  3.0 cm)(3.6\,\text{cm},\;3.0\,\text{cm}) (b) (3.6 cm,  3.2 cm)(3.6\,\text{cm},\;3.2\,\text{cm}) (c) (4.0 cm,  3.0 cm)(4.0\,\text{cm},\;3.0\,\text{cm}) (d) (3.3 cm,  3.4 cm)(3.3\,\text{cm},\;3.4\,\text{cm})

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