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.

As part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff springs arranged side by side so that they are parallel to each other. when you push the platform, you compress the springs. you do an amount of work of 79.0 j when you compress the springs a distance of 0.230 m from their uncompressed length. (a) what magnitude of force must you apply to hold the platform in this position? (b)how much additional work must you do to move the platform a distance 0.230 m farther? (c) what maximum force must you apply to move the platform a distance 0.230 m farther?