2 P₂ 12 in. 15 in. B 15 in. x A 20 in. 32 in. y
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The resultant of the three forces shown is the force R=200k lb. Determine P1,
P2 , and P3.


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- 1.0 MPa 2.0 MPa 1.5 MPa Figure Q4A stick of butter at 35°F measures 1.25 in. x 1.25 in. x 4.65 in. and weighs 4.0 ounces. Find its specific weight. y = i lb/ft³7. Which of the following is false: a. The coefficient of thermal expansion is larger if the bond energy is smaller b. Ceramics are generally ionic bonding c. Van der Waals bonding is generally stronger than covalent bonding d. The free electrons in metallic bonding is reason for electrical conductivity 8. Which of the following is true: a. Polymers are generally denser than ceranmics b. Young's modulus of ceramics are similar to polymers c. Composites have higher tensile strength than metals d. Ceramics have low resistance to fracture than metals
- 3. During tug of war, the bicep muscle generated 4k N force that was perpendicular to the forearm bone. The bicep muscle was attached 4 cm from the elbow joint as shown in figure below. (a) Compute the bending moment at section a-a (b) If a circular solid bone with allowable compressive stress of 130 MPa, what is the minimum permissible radius of the bone?Based on the diagram, determine the magnitude of resultant vector in the cartesian form.How are we getting 35.42 and 485?
- Determine the x, y, z components of reaction at the journal bearing C if 0 = 0°.Aluminum Rod#1 has a length L and a diameter d. Aluminum Rod#2 has a length 2L and a diameter 2d. If Rod#1 is under tension T and Rod#2 is under tension 2T, how do the changes in length of the two rods compare?F2 F2 Fig. Q1.a. Complete 3D view Fig. Q1.b. Front view Fig. Q1.c. Cross section Point P is on the inclined plane (i.e., shaded plane) and on the front surface of the beam, which is subjected to external force F: (Fig. Q1.a.). The shaded plane is inclined by angle e with respect to negative Z axis (Fig. Q1.b.). The point P is in-plane stress state – stresses in X axis are zero - since point P is on the beam surface. At the point P, a normal vector of the cross-section, of which angle with Z axis is zero, is in parallel with Z axis. The cross-section dimension is shown in Fig. Q1.c. Assumption: Disregard Poisson's effect. Given: F = 50 N; h = 220 mm; w = 900 mm 1. Draw a 2D Mohr's circle (M.C.) – present explicitly radius, center, and principal stresses in the M.C. - by considering only stress components in Y-Z space at point P in Fig. Q1.b. - 2. For a case when 0 is 35°, please calculate a normal stress and a shear stress, which occur on the shaded plane, at point P. Also, draw the…

