A uniform rectangular plate of length B = 27 cm and height A = 28 cm has a rectangular corner cut out of it of length D = 6 cm and height C = 9 cm (top right corner). The plate is made of a material of area mass density σ. For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal pointing right and the y-axis vertical pointing up.
Part a: Calculate the value of the y-coordinate, in centimeters, for the center of mass of the plate.
Part b: Calculate the value of the x-coordinate, in centimeters, for the center of mass of the plate.

Visualize the problem and identify special cases first examine the problem by drawing a picture and visualizing the motion. apply newton's 2nd law, ∑f⃗ =ma⃗ , to each body in your mind. don't worry about which quantities are given. think about the forces on each body: how are these consistent with the direction of the acceleration for that body? can you think of any special cases that you can solve quickly now and use to test your understanding later? one special case in this problem is if m2=0, in which case block 1 would simply fall freely under the acceleration of gravity: a⃗ 1=−gj^.