Thaddeus Russell Week 3 Questions 1. What was alcohol use like in the early American colonies? Give at least two examples (Worth 30 points) 2. What was sexuality like in the early American colonies? Give at least two examples (Worth 30 points) 3. Russell argues that people have different amounts of liberty under a monarchy than under a democracy. Under which form of government do the people have the most liberty? Why? (Worth 40 points)

Thaddeus Russell Week 3 Questions 1. What was alcohol use like in the early American colonies? Give at least two examples (Worth 30 points) 2. What was sexuality like in the early American colonies? Give at least two examples (Worth 30 points) 3. Russell argues that people have different amounts of liberty under a monarchy than under a democracy. Under which form of government do the people have the most liberty? Why? (Worth 40 points)

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A sphere having a 200-N weight is suspended using three rigid bars (OD, AD and BD), All the dimensions are in meters (OA=2 m, OB=6 m). (a) Draw free body diagram for the sphere . (b) Express all known and unknown forces in Cartesian vector form , (c) write equations of equilibrium including the known and unknown forces , (d) set up equations in matrix form.

A sphere having a 200-N weight is suspended using three rigid bars (OD, AD and BD), All the dimensions are in meters (OA=2 m, OB=6 m). (a) Draw free body diagram for the sphere . (b) Express all known and unknown forces in Cartesian vector form , (c) write equations of equilibrium including the known and unknown forces , (d) set up equations in matrix form.

Assignment: Signals & Systems Fundamentals Problem Set Complete the following problems. Please submit your solutions to these problems in a PDF document to the course site. Use the lastname_firstname_PS01.pdf format for your file name. 1. Find a closed form expression for the energy E of the two-sided sequence , for 0 < a < 1. Verify your result in Matlab by letting a = 0.5 and computing the partial energy sum for n = 5:5 and n = 20:20. Please show your Matlab commands in your solution. 2. Consider the continuous-time signal plotted below. Sketch . 3. Consider the sequence Plot (using stem) the sequence in Matlab for n = 0:50. Is the sequence periodic? If yes, what is the fundamental period of the sequence? 4. Plot (using stem) the discrete-time sinusoid . Find and plot a second discrete-time sinusoid with a different frequency that yields exactly the same sample values as . 5. A linear continuous-time system is observed to have the following input-output pairs. a. Could the system be time-invariant? b. Find the output signal if the input signal is x3(t) shown below: 6. The following input-output pairs have been observed during the operation of a discrete-time system: What conclusions can you draw regarding the causality of the system?

Assignment: Signals & Systems Fundamentals Problem Set Complete the following problems. Please submit your solutions to these problems in a PDF document to the course site. Use the lastname_firstname_PS01.pdf format for your file name. 1. Find a closed form expression for the energy E of the two-sided sequence , for 0 < a < 1. Verify your result in Matlab by letting a = 0.5 and computing the partial energy sum for n = 5:5 and n = 20:20. Please show your Matlab commands in your solution. 2. Consider the continuous-time signal plotted below. Sketch . 3. Consider the sequence Plot (using stem) the sequence in Matlab for n = 0:50. Is the sequence periodic? If yes, what is the fundamental period of the sequence? 4. Plot (using stem) the discrete-time sinusoid . Find and plot a second discrete-time sinusoid with a different frequency that yields exactly the same sample values as . 5. A linear continuous-time system is observed to have the following input-output pairs. a. Could the system be time-invariant? b. Find the output signal if the input signal is x3(t) shown below: 6. The following input-output pairs have been observed during the operation of a discrete-time system: What conclusions can you draw regarding the causality of the system?

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A bar is supported by a ball-and-socket joint and two cables as shown below. a) Draw a clear and neat free body diagram (FBD) for the bar. This FBD must be a figure that is separately from the figure given below. b) Determine the reaction at support A (the ball-and-socket joint). Express the force in Cartesian vector form. c) Determine the magnitude of the tension in each cable.

A bar is supported by a ball-and-socket joint and two cables as shown below. a) Draw a clear and neat free body diagram (FBD) for the bar. This FBD must be a figure that is separately from the figure given below. b) Determine the reaction at support A (the ball-and-socket joint). Express the force in Cartesian vector form. c) Determine the magnitude of the tension in each cable.

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The plate in figure is uniform and weigh 300 Ib. It is supported in a horizontal position by a hinge in the middle of CD and by a cable at point B. a) Draw a complete free body diagram for the plate . b) Determine the tension in the cable .

The plate in figure is uniform and weigh 300 Ib. It is supported in a horizontal position by a hinge in the middle of CD and by a cable at point B. a) Draw a complete free body diagram for the plate . b) Determine the tension in the cable .

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The pole is subjected to the two forces shown

The pole is subjected to the two forces shown

3 ways in which the body gains water?

3 ways in which the body gains water?

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The equipotential lines represent the potential produced by charges in the plane of the paper. At which point could a proton be placed so that it experiences a force to the left ? a) A, b) B, c) C, d) D, e) E.