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FE Review Statics Spring 2013

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**VII. Engineering Mechanics (Statics and Dynamics) 10%**

A. Statics 1. Resultants of force systems 2. Concurrent force systems 3. Equilibrium of rigid bodies 4. Frames and trusses 5. Centroid of area 6. Area moments of inertia 7. Friction B. Dynamics 1. Linear motion (e.g., force, mass, acceleration, momentum) 2. Angular motion (e.g., torque, inertia, acceleration, momentum) 3. Mass moments of inertia 4. Impulse and momentum applied to: a. particles b. rigid bodies 5. Work, energy, and power as applied to: 6. Friction

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**Determine the x and y components of the 700 lb force.**

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**Cable 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.

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**The 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.

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**Determine the moment of the force FC about the axis a-a. **

Express the result as a Cartesian vector.

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Determine the normal reaction at the roller A and horizontal and vertical components at pint B for equilibrium of the member.

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Determine the horizontal and vertical components of reaction at the pin A and the force in the cable BC. Neglect the thickness of the members.

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Determine the horizontal and vertical components of reaction that pins A and B exert on the two member frame. Set F = 500 N.

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**Determine the area and the centroid (x,y) of the area.**

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**Locate the centroid (xbar, ybar) of the composite area.**

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**Determine the moment of inertia of the shaded figure about the x and y axis.**

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**Determine the moment of inertia of the composite area about the x-axis.**

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**The 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.

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