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Three inextensible cables are connected at A and pinned to the ground at pins B, C and D. Applied forces P and Q are applied at point A as shown. Force P is applied along the y-axis, while force Q is applied along the z-axis. 0.800 m Given that the direction angles of T are given as: 0 = 135.0° Oy = 124.449° 0₂ = 64.896° AC P y A 55° D 40° x B 0.900 m Z 0.200 m For items 1 to 3, consider the case when the magnitude of force P is 850 directed along the positive y-axis, and force Q is 400 N, directed along the negative z-axis: 1. Draw the force diagram of the system at point A. 2. Set up the equilibrium equations along x,y, and z axes. 3. Determine the magnitudes of the three tension cables. For items 4 and 5, consider the case when the magnitude of P is 850 N and the magnitude of Q is unknown (HINT: Some cables might slack (i.e., will not carry any force/tension) with the given situations/configurations.): 4. Determine the range of magnitudes of Q (when Q is directed along the negative z-axis away from point A) which will make cable AD taut. 5. Determine the range of magnitudes of Q (when Q is directed along the positive z-axis towards point A) which will make cable AB taut.

Three inextensible cables are connected at A and pinned to the ground at pins B, C and D. Applied forces P and Q are applied at point A as shown. Force P is applied along the y-axis, while force Q is applied along the z-axis. 0.800 m Given that the direction angles of T are given as: 0 = 135.0° Oy = 124.449° 0₂ = 64.896° AC P y A 55° D 40° x B 0.900 m Z 0.200 m For items 1 to 3, consider the case when the magnitude of force P is 850 directed along the positive y-axis, and force Q is 400 N, directed along the negative z-axis: 1. Draw the force diagram of the system at point A. 2. Set up the equilibrium equations along x,y, and z axes. 3. Determine the magnitudes of the three tension cables. For items 4 and 5, consider the case when the magnitude of P is 850 N and the magnitude of Q is unknown (HINT: Some cables might slack (i.e., will not carry any force/tension) with the given situations/configurations.): 4. Determine the range of magnitudes of Q (when Q is directed along the negative z-axis away from point A) which will make cable AD taut. 5. Determine the range of magnitudes of Q (when Q is directed along the positive z-axis towards point A) which will make cable AB taut.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Three inextensible cables are connected at A and pinned to the ground at pins B, C and D. Applied forces P and Q are applied at point A as shown. Force P is applied along the y-axis, while force Q is applied along the z-axis. 0.800 m Given that the direction angles of T are given as: 0 = 135.0° Oy = 124.449° 0₂ = 64.896° AC P y A 55° D 40° x B 0.900 m Z 0.200 m For items 1 to 3, consider the case when the magnitude of force P is 850 directed along the positive y-axis, and force Q is 400 N, directed along the negative z-axis: 1. Draw the force diagram of the system at point A. 2. Set up the equilibrium equations along x,y, and z axes. 3. Determine the magnitudes of the three tension cables. For items 4 and 5, consider the case when the magnitude of P is 850 N and the magnitude of Q is unknown (HINT: Some cables might slack (i.e., will not carry any force/tension) with the given situations/configurations.): 4. Determine the range of magnitudes of Q (when Q is directed along the negative z-axis away from point A) which will make cable AD taut. 5. Determine the range of magnitudes of Q (when Q is directed along the positive z-axis towards point A) which will make cable AB taut.
Transcribed Image Text:Three inextensible cables are connected at A and pinned to the ground at pins B, C and D. Applied forces P and Q are applied at point A as shown. Force P is applied along the y-axis, while force Q is applied along the z-axis. 0.800 m Given that the direction angles of T are given as: 0 = 135.0° Oy = 124.449° 0₂ = 64.896° AC P y A 55° D 40° x B 0.900 m Z 0.200 m For items 1 to 3, consider the case when the magnitude of force P is 850 directed along the positive y-axis, and force Q is 400 N, directed along the negative z-axis: 1. Draw the force diagram of the system at point A. 2. Set up the equilibrium equations along x,y, and z axes. 3. Determine the magnitudes of the three tension cables. For items 4 and 5, consider the case when the magnitude of P is 850 N and the magnitude of Q is unknown (HINT: Some cables might slack (i.e., will not carry any force/tension) with the given situations/configurations.): 4. Determine the range of magnitudes of Q (when Q is directed along the negative z-axis away from point A) which will make cable AD taut. 5. Determine the range of magnitudes of Q (when Q is directed along the positive z-axis towards point A) which will make cable AB taut.
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