4. Refer to the graph as shown in Figure A4, determine (a) the second moment of...
4. Refer to the graph as shown in Figure A4, determine (a) the second moment of area about x axis (1x); (4 marks) (b) the second moment of area about y axis (19); (4 marks) (c) the second moment of area of about z (I.), where z axis is perpendicular to x and y axes. (2 marks) 5 y = 1.25x Figure A4
3. Refer to the graph as shown in Figure A3. (a) Determine the first moment of area of the shaded region formed by arc y=x? about y-axis, as shown in Figure A3. (5 marks) (b) Calculate the area of the shaded region, as shown in Figure A3. (3 marks) 40 35 30 25 y = x2 (V) 20 15 10 5 0 2 (x) Figure A3
Consider the area shown in Figure 4. Determine; a) The 2nd Moment of Area (Ix and ly) about the axis system shown. b) The Polar Moment of Inertia (Jo) about point O. c) The 2nd Moment of Area (lx and ly) about an axis system that runs through the centroid of the area and the Polar Moment of Inertia (Jo) about the centroid of the area. [5+3+5 = 13 marks] 100 mm-100 mm 150 mm 150 mm 150 mm 75...
Determine the total area enclosed by the points A, B, C, and D as shown in the figure below [units]^2. The coordinates of D are not at the position shown but are at x 6, y = 4 5 4 3 2 1 X 0 2 3 5 Answer: Determine the second moment of area about the x-axis enclosed by the points A, B, C and D [units]^4 Answer: Determine the second moment of area about the y-axis enclosed by...
Suppose that a 5.29 in. and b 2.3 in. (Figure 1) Part A Determine the moment of inertia for the shaded area about the y axis Express your answer using three significant figures. Figure 1 of 1 Iy 12.9 in Previous Answers Request Answer Submit X Incorrect; Try Again; 2 attempts remaining Provide Feedback
Compute the area moments of inertia (Iz and Iy) about the horizontal and vertical centroidal (x and y) axes, respectively, and the centroidal polar area moment of inertia (J-Iz -Iz +Iy) of the cross section of Problem P8.12. Answer: 1x-25.803 in. Ц-167.167 in. and J-192.97 in P8.12 The cross-sectional dimensions of the beam shown in Figure P8.12 are a 5.o in., b moment about the z centroidal axis is Mz--4.25 kip ft. Determine 6.o in., d -4.0 in., and t-...
Please show ALL YOUR WORK and organize it in a logical and neat manner.Determine by direct integration the moment of inertia of the shaded area with respect to the x-axis (Ix) and the y-axis (Iy).HINT: Start by calculating the value of k.NOTE: Make sure to select differential areas parallel to the axis you are calculating the moment about.
For the shapes shown in figure Q1, determine the second moment of area of the shape with respect to the centroidal axes 5 다 Y 2 X | (cm) Figure Q1
Problem 10.21 4 of9 Part A The shaded area shown in (Figure 1) is bounded by the line y z m and the curve y -1.1z m2, where z is in m. Suppose that a 1.1 m Determine the moment of inertia for the shaded area about the z axis. Express your answer to three significant figures and include the appropriate units. Figure 1 of 1 x" x x10 I,Value Units Submit Previous Answers Request Answer X Incorrect; Try Again;...
Problem 10.14 The shaded area shown in (Figure 1) is bounded by 3, yaxes and the curve z? +3.24 y = 3.24 m, where r and y are in m Suppose that a = 1.8 m. Part A Determine the moment of inertia about the y axis. Express your answer to three significant figures and include the appropriate units. НА ? Iy = Value Units Submit Request Answer Provide Feedback Figure < 1 of 1 1 m