To use the equilibrium equations to solve for unknown forces in a coplanar force system.

A mass of $85$ kg

is suspended using ropes as shown in $($Figure $1).$ The angle between rope AB

and the vertical is $30$

$.$

Figure$1$ of $1$

A mass at D is suspended by a vertical rope BD$.$ The rope is connected to a ring at B$.$ A horizontal rope BC is attached extending to the right of the ring, with a force applied to the end of the rope. A rope AB is attached to the ring extending up and to the right to a bracket at A$.$ The angle between rope AB and the vertical is theta. A coordinate system is shown with x extending to the right and y extending up$.$

Part A

Draw the free$-$body diagram for the ring at B

$.$

Draw the vectors, starting at the black dots. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.

Select the elements from the list and add them to the canvas setting the appropriate attributes.Select to observe the list of the elements that can be added to the canvas. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$Q to quit the application.

Select to show$/$hide the vector for the sum of the drawn vectors. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$Q to quit the application.

Delete the selected element. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$Q to quit the application.

Press to go to keyboard navigation instructions below the canvas.

Select to remove all drawn elements. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$Q to quit the application.

Attributes panel is empty. Press CTRL$+$Y to get to the elements on the canvas. Press CTRL$+$M to return to the main menu. Press CTRL$+$Q to quit the application.No elements selected

The start point is $00.$ The end point is $00.$ The length is $0$ units. The angle counting from horizontal axis counterclockwise $0$ degrees. Use arrows to move the end point.

Press TAB to go to the next element.

FBC

FBD

FAB

Select the elements from the list and add them to the canvas setting the appropriate attributes. Press TAB to get to the main menu.Use arrow keys to apply parallel transition to the object. Press TAB to move to the next element on the canvas. Press SHIFT$+$TAB to return to selecting the end point. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press ESC to quit adding or editing this element. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press TAB to select the whole element. Press SHIFT$+$TAB to move to selecting the start point. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press TAB to move to the next element on the canvas. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.Press SPACE to get to the set of hotspots or use arrow keys to move on the canvas. Press ENTER to change the direction. Press TAB to move to the next element on the canvas. Press DEL to delete the element from the canvas. Press CTRL$+$A to modify the attributes. Press CTRL$+$M to get to the main menu. Press ESC to quit adding or editing this element. Press CTRL$+$Q to quit the application.

Previous Answers

Correct

Part B

What is the tension in rope BD

$?$

Express your answer to three significant figures with appropriate units.

View Available Hint$($s$)$for Part B

Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type

FBD

$=$

nothing

nothing

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Part C

There are two remaining tensions, FAB

and FBC

$.$ Which equilibrium equation depends on only one of them?