3VII. Engineering Mechanics (Statics and Dynamics) 10% A. Statics1. Resultants of force systems2. Concurrent force systems3. Equilibrium of rigid bodies4. Frames and trusses5. Centroid of area6. Area moments of inertia7. FrictionB. Dynamics1. Linear motion (e.g., force, mass, acceleration, momentum)2. Angular motion (e.g., torque, inertia, acceleration, momentum)3. Mass moments of inertia4. Impulse and momentum applied to:a. particlesb. rigid bodies5. Work, energy, and power as applied to:6. Friction
4Determine the x and y components of the 700 lb force.
5Cable AB exerts a force of 80 N on the end of the 3-m-long boom OA Cable AB exerts a force of 80 N on the end of the 3-m-long boom OA. Determine the magnitude of the projection of the force along the boom.
6The 500 lb crate is hoisted using the ropes AB and AC The 500 lb crate is hoisted using the ropes AB and AC. Each rope can withstand a maximum tension of 2500 lb before it breaks. If AB always remains horizontal, determine the smallest angle θ to which the crate can be hoisted.
7Determine the moment of the force FC about the axis a-a. Express the result as a Cartesian vector.
8Determine the normal reaction at the roller A and horizontal and vertical components at pint B for equilibrium of the member.
9Determine the horizontal and vertical components of reaction at the pin A and the force in the cable BC. Neglect the thickness of the members.
10Determine the horizontal and vertical components of reaction that pins A and B exert on the two member frame. Set F = 500 N.
11Determine the area and the centroid (x,y) of the area.
12Locate the centroid (xbar, ybar) of the composite area.
13Determine the moment of inertia of the shaded figure about the x and y axis.
14Determine the moment of inertia of the composite area about the x-axis.
15The truck has a mass of 1. 25 Mg and a center of mass at G The truck has a mass of 1.25 Mg and a center of mass at G. Determine the greatest load that it can pull if (a) the truck has a rear-wheel drive while the front wheels are free to roll, and (b) the truck has four wheel drive. The coefficients of friction between the wheels and the ground is μs = 0.5, and between the crate and the ground, it is μs = 0.4.