Question

5.4 Find the first moment of the upper shaded area (i.e. the shaded area above the x-axis and below the curve) about the y-axis

Answer 1

Find the first moment of upper shade area (i.e shaded area above the X anis and below curve) above Tanis. EXCEP Solution Here x a you bin The area of diff rential element parallel to xanis shown shaded in Fig above. DCA ) = (a-x) dy = a - a Moment of artia inertial Ex = fy²dA= (y²/a- a y'n dy a yhtz ay

Page No. Date حمله (ما - مطه - = ab² 3 (3n+1) Ix= a b3 3 (3nti) We require first moment in= 1 Ixoa) = abs 3 (361) + 1) ab3 3 (3+1) z ab3 12 First moment is given by abo