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Multiple Choice Questions 1. The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A. A) MA = (- 132i + 229j) Ib-ft B) MA = (- 132i - 229j – 216k) Ib-ft C) MA = 216k Ib-ft D) MA = (- 229i + 132j) Ib-ft 2. Determine the magnitude and direction of the couple moment. 120 lb 6t 120 lb A) M = 3120 lb - ft CW B) M = 2496 Ib - ft CW C) M = 3900 lb ft CW D) M = 2496 Ib · ft CCW %3!

Multiple Choice Questions 1. The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A. A) MA = (- 132i + 229j) Ib-ft B) MA = (- 132i - 229j – 216k) Ib-ft C) MA = 216k Ib-ft D) MA = (- 229i + 132j) Ib-ft 2. Determine the magnitude and direction of the couple moment. 120 lb 6t 120 lb A) M = 3120 lb - ft CW B) M = 2496 Ib - ft CW C) M = 3900 lb ft CW D) M = 2496 Ib · ft CCW %3!

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**ENGR 2301** **CH 4 Exam Review Problems** **Multiple Choice Questions** 1. The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A. Diagram: A pole with a height of 24 ft supports a 22-lb traffic light. The horizontal distance from the pole to the light is 18 ft. A) \( M_A = (-132\mathbf{i} + 229\mathbf{j}) \) lb-ft B) \( M_A = (-132\mathbf{i} - 229\mathbf{j} - 216k) \) lb-ft C) \( M_A = 216k \) lb-ft D) \( M_A = (-229\mathbf{i} + 132\mathbf{j}) \) lb-ft 2. Determine the magnitude and direction of the couple moment. Diagram: Two parallel forces, each 60 lb, act at points A and B, which are 6 ft apart along the x-axis. A) \( M = 3120 \) lb-ft CW B) \( M = 2496 \) lb-ft CW C) \( M = 3900 \) lb-ft CW D) \( M = 2496 \) lb-ft CCW 3. Determine the magnitude and direction of the moment of the force if the force at A about point P. Diagram: A force of 260 N is applied at point A. The position vector from P to A has components 12/13 in the y-direction and 5/13 in the x-direction. Points A and P are separated by a horizontal distance of 4 m and a vertical distance of 2 m. A) \( M_P = 600 \) Nm ↶ B) \( M_P = 600 \) Nm ↷ C) \( M_P = 1440 \) Nm ↷ D) \( M_P = 1440 \) Nm ↶
Transcribed Image Text:**ENGR 2301** **CH 4 Exam Review Problems** **Multiple Choice Questions** 1. The pole supports a 22-lb traffic light. Using Cartesian vectors, determine the moment of the weight of the traffic light about the base of the pole at A. Diagram: A pole with a height of 24 ft supports a 22-lb traffic light. The horizontal distance from the pole to the light is 18 ft. A) \( M_A = (-132\mathbf{i} + 229\mathbf{j}) \) lb-ft B) \( M_A = (-132\mathbf{i} - 229\mathbf{j} - 216k) \) lb-ft C) \( M_A = 216k \) lb-ft D) \( M_A = (-229\mathbf{i} + 132\mathbf{j}) \) lb-ft 2. Determine the magnitude and direction of the couple moment. Diagram: Two parallel forces, each 60 lb, act at points A and B, which are 6 ft apart along the x-axis. A) \( M = 3120 \) lb-ft CW B) \( M = 2496 \) lb-ft CW C) \( M = 3900 \) lb-ft CW D) \( M = 2496 \) lb-ft CCW 3. Determine the magnitude and direction of the moment of the force if the force at A about point P. Diagram: A force of 260 N is applied at point A. The position vector from P to A has components 12/13 in the y-direction and 5/13 in the x-direction. Points A and P are separated by a horizontal distance of 4 m and a vertical distance of 2 m. A) \( M_P = 600 \) Nm ↶ B) \( M_P = 600 \) Nm ↷ C) \( M_P = 1440 \) Nm ↷ D) \( M_P = 1440 \) Nm ↶
**ENGR 2301:** **4. Determine the moment of the force about point O.** A diagram shows an L-shaped beam with point O at the corner. The beam extends 3 meters downward and 2 meters horizontally with a 500 N force acting 1 m away from point O. Options: A) 600 N·m counterclockwise B) 600 N·m clockwise C) 200 N·m counterclockwise D) 200 N·m clockwise **5. The force F is acting along DC. Using the triple scalar product to determine the moment of F about the bar BA, you could use any of the following position vectors except ____.** A diagram of a tetrahedron is provided with labeled points A, B, C, and D. Measurement indicators show the distances and directions. Options: A) \(\mathbf{r}_{BC}\) B) \(\mathbf{r}_{AD}\) C) \(\mathbf{r}_{AC}\) D) \(\mathbf{r}_{DB}\) E) \(\mathbf{r}_{BD}\) **6. Determine the resultant moment of the forces acting about the x, y, z axes.** A diagram shows a rectangular plate with forces acting in various directions: 100 N in the y-direction, 50 N upward in the z-direction, and 300 N horizontally in the x-direction. Dimensions are labeled as 3 m, 2 m, and 3 m. Options: A) \(M_x = 300 \, \text{N·m}, M_y = 400 \, \text{N·m}, M_z = 600 \, \text{N·m}\) B) \(M_x = -300 \, \text{N·m}, M_y = -400 \, \text{N·m}, M_z = -600 \, \text{N·m}\) C) \(M_x = -600 \, \text{N·m}, M_y = -400 \, \text{N·m}, M_z = 300 \, \text{N·m}\) D) \(M_x = 300 \, \text{N·m}, M_y = 600 \, \text{N·m}, M_z = -400 \, \text{N
Transcribed Image Text:**ENGR 2301:** **4. Determine the moment of the force about point O.** A diagram shows an L-shaped beam with point O at the corner. The beam extends 3 meters downward and 2 meters horizontally with a 500 N force acting 1 m away from point O. Options: A) 600 N·m counterclockwise B) 600 N·m clockwise C) 200 N·m counterclockwise D) 200 N·m clockwise **5. The force F is acting along DC. Using the triple scalar product to determine the moment of F about the bar BA, you could use any of the following position vectors except ____.** A diagram of a tetrahedron is provided with labeled points A, B, C, and D. Measurement indicators show the distances and directions. Options: A) \(\mathbf{r}_{BC}\) B) \(\mathbf{r}_{AD}\) C) \(\mathbf{r}_{AC}\) D) \(\mathbf{r}_{DB}\) E) \(\mathbf{r}_{BD}\) **6. Determine the resultant moment of the forces acting about the x, y, z axes.** A diagram shows a rectangular plate with forces acting in various directions: 100 N in the y-direction, 50 N upward in the z-direction, and 300 N horizontally in the x-direction. Dimensions are labeled as 3 m, 2 m, and 3 m. Options: A) \(M_x = 300 \, \text{N·m}, M_y = 400 \, \text{N·m}, M_z = 600 \, \text{N·m}\) B) \(M_x = -300 \, \text{N·m}, M_y = -400 \, \text{N·m}, M_z = -600 \, \text{N·m}\) C) \(M_x = -600 \, \text{N·m}, M_y = -400 \, \text{N·m}, M_z = 300 \, \text{N·m}\) D) \(M_x = 300 \, \text{N·m}, M_y = 600 \, \text{N·m}, M_z = -400 \, \text{N
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