Directions: show ALL of your work. Write out your thought process and/or every step mathematically throughout each problem. Draw FBDs when appropriate.
1. A structure is fixed to a surface at point O and supports 300 and 400 N couples as shown. Determine the resultant couple moment vector, using both scalar and vector approaches (solve twice).
![2228_Determine the resultant couple moment vector.jpg](https://secure.tutorsglobe.com/CMSImages/2228_Determine the resultant couple moment vector.jpg)
2. All members of the truss have the same length. Determine the force supported by members CE and DF if P = 1kN, Q = 2kN, and R = 3kN using method of joints.
![355_Determine the force supported by members.jpg](https://secure.tutorsglobe.com/CMSImages/355_Determine the force supported by members.jpg)
3. Determine F if the moment about line AB is to be 2000 in-lb.
![860_Determine F if the moment.jpg](https://secure.tutorsglobe.com/CMSImages/860_Determine F if the moment.jpg)
4. Write an expression in terms of L, F, and P for each reaction force in each scenario (a, b, c, and d). Your analysis should include a FBD of each scenario.
![2105_reaction force.jpg](https://secure.tutorsglobe.com/CMSImages/2105_reaction force.jpg)
5. Determine the support reaction for the beam. Express your answer in terms of the parameters.
![238_Determine the support reaction.jpg](https://secure.tutorsglobe.com/CMSImages/238_Determine the support reaction.jpg)
6. A 2m long concrete barrier is used to provide safety during highway construction. If h = 45cm, determine the force P that will cause motion of the barrier, and specify if the motion is due to sliding or tipping. The concrete has 0.024N/cm3 specific weight, and the interface between the barrier and pavement has static and kinetic coefficients of friction of 0.45 and 0.40, respectively.
![338_static and kinetic coefficients of friction.jpg](https://secure.tutorsglobe.com/CMSImages/338_static and kinetic coefficients of friction.jpg)