Please help with showing steps for a and b. Thank you (10%) Problem 6: A rectang
ID: 1775124 • Letter: P
Question
Please help with showing steps for a and b. Thank you
(10%) Problem 6: A rectangular plate of length B-27 cm and height A-34 cm has a rectangular corner cut out of it of length D-10 cm and height C 12 cm. The plate is made of a material of uniform mass density . For this problem we set the origin at the lower left corner of the plate with the x-axis horizontal and the y-axis B Otheexpertta.com 50% Part (a) Find the numeric value of the y-coordinate for the center of mass of the plate in cm. Grade Summary 2% 98% sin0 cotan0asinO tan() | | ( 789 4 5 6 cos0 Submissions Attempts remaining: S (2% per attempt) detailed view atan0acotan) s0 cosh0tanh cotanh0 o Degrees oRadians 0 2% I give up! Hints: 0 for a 0% deduction. Hin ts remaining: 0 Feedback: 0% deduction per feedback. Submission History Hints Feedback 2% 2% 50% Part (b) Find the numeric value of the x-coordinate for the center of mass of the plate in cm. yo,-9.72 0% 0% 12% Totals 0% 0% | 2%Explanation / Answer
(a) Ycm = (m1 y1 + m2 y2)/ (m1 + m2)
= [(12 x (27 - 10))(34 - (12/2)) + (27 x (34-12))((34 - 12)/2)] / ((12 x (27 - 10)) + (27 x (34-12)) )
= [ (204)(28) + (594)(11)] / (204 + 594)
= 15.3 cm
(b) x_cm = (m1x1 + m2 x2)/(m1 + m2)
= [ (204)((27 - 10)/2) + (594)(27/2)] / (204 + 594)
= 12.2 cm