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- Determine the Y-Component (My) of the couple acting on the frame below at point O due to the shown forces. Given that F=532 N and a= 0.7 m. y F (N) 15 B 0.45 m 15° F (NY Select one: O A. -912.4 N.m OB. 718.7 N.m OC.-193.6 N.m OD. 193.6 N.m OE. -718.7 N.mA Find the moment at A of the beam shown, El is constant. (kN m) 30 KN 40 KN 50 kN 60 kN/m ↓ 2 m 4 m 157.39 248.28 349.75 O451.24 2 m 2m |1m| i BFind the position of the centroid as well as the moment of inertia with respect to a horizontal axis passing through the centroid in two different ways: (a) By adding the areas. (b) Considering the absence of area as a negative area Answer: 1503.79cm4
- 3. Compute the reacting forces RA and Rg at the ends of the beam shown. These reacting forces are neccessary to maintain equilibrium. pª 3m 130N Fa 112 5mDetermine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. +105 mm - 15 mm 135 mm 15 mm 15 mm +105 mm Answers: i (106) mm4 i (106) mm4At what angle theta must the 400N force be applied in order that the resultant R of the two forces have a magnitude of 1000N? For this condition what will be the angle beta between R and the horizontal
- Зт 4.5m 1.) Determine the location of the general centroid from the x and y-axes 2.) Determine the centroidal moment of inertia about x and y 3.) Determine the polar moment of inertia 4.) Determine the base moment of inertia 5.) Determine the radius of gyrationDetermine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. 17 mm Answers: Ixo 165 mm Iyo = i = i 140 mm -Xo 17 mm 140 mm- 17 mm (106) mm² (106) mm²In the photo, the 190N force makes an angle of 50 degrees with the horizontal. The 26ON force makes an angle of 65 degrees with the 190N force direction. With this information, find the angles a and b in degree. Also, determine the magnitude of R and find the angle R makes with the horizontal. 26ON 190N
- 9.54 The motions of two pins A and B are constrained in such a way that they remain in the vertical slot of member C and in the circular path at all times as shown. If the relative velocity vRA = 40 mm/s when x = 100 mm, determine the velocity ve of member C. %3D B 260 mm A 4.4 Which of the following gives the bending moment at 10 meters from A on the beam shown, respectively? (kN m) (FIG. 2) 60 KN 30 kN/m 7 A Hinge B CO E -12 m- 306.667 123.333 236.667 666.667 D Hinge +sm+sm+ -12 m- 40 kN m 5Which of the following gives the bending moment at 10 meters from A on the beam shown, respectively? (kN m) (FIG. 2) (2 Points) 60 KN 30 kN/m +↓↓ A Hinge B C D Hinge -12 m +sm+sm+ 306.667 O 123.333 236.667 O 666.667 -12 m- E 40 kN m 5