A uniform thin square sheet 60 cm on a side has a rectangular section 20 cm wide and…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A uniform thin square sheet 60 cm on a side has a rectangular section 20 cm wide and 40 cm tall removed from its upper-right corner. The original sheet’s lower-left corner is the origin, and its sides lie along the positive x- and y-axes. Determine the coordinates (xCM,yCM)(x_{CM},y_{CM}) of the center of mass of the remaining L-shaped plate. (a) (27.1 cm,  24.3 cm)(27.1\,\text{cm},\;24.3\,\text{cm}) (b) (30.0 cm,  30.0 cm)(30.0\,\text{cm},\;30.0\,\text{cm}) (c) (24.3 cm,  27.1 cm)(24.3\,\text{cm},\;27.1\,\text{cm}) (d) (27.1 cm,  32.9 cm)(27.1\,\text{cm},\;32.9\,\text{cm})

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