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The portion of the cable attached to the spring is at an angle of o = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle 0 = 62.5° with the ceiling.Draw the free-body diagram of the pulley. Recall that the pulley is massless. Start all forces at point B in the center of the pulley. Draw all forces as tensile forces, or pulling forces. All angles should be measured from the positive x axis. They are positive in the counterclockwise direction. Note - You can click on the attributes button after selecting a vector and enter angle value of the vector in the angle field.

The portion of the cable attached to the spring is at an angle of o = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle 0 = 62.5° with the ceiling.Draw the free-body diagram of the pulley. Recall that the pulley is massless. Start all forces at point B in the center of the pulley. Draw all forces as tensile forces, or pulling forces. All angles should be measured from the positive x axis. They are positive in the counterclockwise direction. Note - You can click on the attributes button after selecting a vector and enter angle value of the vector in the angle field.

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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**Learning Goal:** To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at B. (Figure 1) **Part A - Drawing the free-body diagram of the pulley** The portion of the cable attached to the spring is at an angle of ϕ = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle θ = 62.5° with the ceiling. Draw the free-body diagram of the pulley. Recall that the pulley is massless. * Start all forces at point B in the center of the pulley. * Draw all forces as tensile forces or pulling forces. * All angles should be measured from the positive x axis. * They are positive in the counterclockwise direction. * Note: You can click on the attributes button after selecting a vector and enter the angle value of the vector in the angle field. **Figure Description:** The figure shows a schematic diagram of a setup where a mass hangs from a cable, which passes over a frictionless, massless pulley, and connects to a linear elastic spring. - Point A represents the mass hanging vertically. - Point B represents the pulley. - Point C shows the other end of the spring anchored to the ground at an angle φ = 35°. - The spring constant is k = 15.5 kN/m. - The pulley is connected to the ceiling via rod BD, which forms an angle θ = 62.5° with the ceiling. **Diagram:** The diagram on the right side shows a circular representation of the pulley at point B with forces acting on it. **Instructions:** Select the elements from the list and add them to the canvas setting the appropriate attributes. **Note:** Use the provided toolbar and attributes settings to draw the forces accurately on the pulley diagram. **Pearson**
Transcribed Image Text:**Learning Goal:** To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at B. (Figure 1) **Part A - Drawing the free-body diagram of the pulley** The portion of the cable attached to the spring is at an angle of ϕ = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle θ = 62.5° with the ceiling. Draw the free-body diagram of the pulley. Recall that the pulley is massless. * Start all forces at point B in the center of the pulley. * Draw all forces as tensile forces or pulling forces. * All angles should be measured from the positive x axis. * They are positive in the counterclockwise direction. * Note: You can click on the attributes button after selecting a vector and enter the angle value of the vector in the angle field. **Figure Description:** The figure shows a schematic diagram of a setup where a mass hangs from a cable, which passes over a frictionless, massless pulley, and connects to a linear elastic spring. - Point A represents the mass hanging vertically. - Point B represents the pulley. - Point C shows the other end of the spring anchored to the ground at an angle φ = 35°. - The spring constant is k = 15.5 kN/m. - The pulley is connected to the ceiling via rod BD, which forms an angle θ = 62.5° with the ceiling. **Diagram:** The diagram on the right side shows a circular representation of the pulley at point B with forces acting on it. **Instructions:** Select the elements from the list and add them to the canvas setting the appropriate attributes. **Note:** Use the provided toolbar and attributes settings to draw the forces accurately on the pulley diagram. **Pearson**
--- ### Learning Goal: To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. ***As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at $B$.*** #### *Figure 1* ![Force Diagram](https://link-to-image.com) *Presented Diagram as per Figure 1* #### Figure Description: In the figure, there is a mass \( A \) hanging from a point \( D \). The cable extends upwards from this mass, passes over a pulley at \( B \), and connects to a spring at point \( C \). The spring and the rod \( BD \) form respective angles \( \phi \) and \( \theta \) with the horizontal line \( x \). ### Part B - Finding the Weight of the Hanging Mass --- Find the weight of the hanging mass when the spring, with a spring constant of \( 15.5 \, \text{kN/m} \), has been stretched \( 11.7 \, \text{cm} \). The tension in rod \( BD \) is \( 3217 \, \text{N} \). Recall that the pulley is massless. **Express your answer to three significant figures and include the appropriate units.** #### Input Field \[ W = \text{_______} \, \text{Units} \] *Submit Button* ### Part C - Determining the Displacement of a Spring --- The cable segment attached to the spring is at an angle of \( \phi = 50.0^\circ \) from the ground. The spring has a spring constant of \( k = 15.5 \, \text{kN/m} \). The pulley is attached to the ceiling by rod \( BD \) that forms an angle \( \theta = 70.0^\circ \) with the ceiling. The hanging mass causes a tension of \( 3408 \, \text{N} \) in rod \( BD \). What is the displacement of the spring? **Express your answer to three significant figures and include the appropriate units.** #### Input Field \[ s = \text{_______} \, \text{Units} \]
Transcribed Image Text:--- ### Learning Goal: To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. ***As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at $B$.*** #### *Figure 1* ![Force Diagram](https://link-to-image.com) *Presented Diagram as per Figure 1* #### Figure Description: In the figure, there is a mass \( A \) hanging from a point \( D \). The cable extends upwards from this mass, passes over a pulley at \( B \), and connects to a spring at point \( C \). The spring and the rod \( BD \) form respective angles \( \phi \) and \( \theta \) with the horizontal line \( x \). ### Part B - Finding the Weight of the Hanging Mass --- Find the weight of the hanging mass when the spring, with a spring constant of \( 15.5 \, \text{kN/m} \), has been stretched \( 11.7 \, \text{cm} \). The tension in rod \( BD \) is \( 3217 \, \text{N} \). Recall that the pulley is massless. **Express your answer to three significant figures and include the appropriate units.** #### Input Field \[ W = \text{_______} \, \text{Units} \] *Submit Button* ### Part C - Determining the Displacement of a Spring --- The cable segment attached to the spring is at an angle of \( \phi = 50.0^\circ \) from the ground. The spring has a spring constant of \( k = 15.5 \, \text{kN/m} \). The pulley is attached to the ceiling by rod \( BD \) that forms an angle \( \theta = 70.0^\circ \) with the ceiling. The hanging mass causes a tension of \( 3408 \, \text{N} \) in rod \( BD \). What is the displacement of the spring? **Express your answer to three significant figures and include the appropriate units.** #### Input Field \[ s = \text{_______} \, \text{Units} \]
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