Solving a Tension Angle Physics Problem with Three Equations | Physics Forum

In summary, the given problem involves finding the tension in AB, BC, and CD as well as the mass of Q. Three equations are provided but have not led to a solution. The tension in BC pulls downwards at C and upwards at B, with angles and masses given for various components.
  • #1
frozen7
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The angle between A and horizontal is 60, angle between D and horizontal is 70,angle between BC and horizontal is 30. Mass of P is 2kg.
Find: (a) Tension in AB, BC and CD
(b) Mass of Q.

I have been trying to solve this question by using the following 3 equations but I still can't get the answer: ABsin60 + BCsin30 = 2g
CDsin70 + BCsin30 = m(Q)g
ABcos60 = CDcos70 + BCcos30
Can anyone help me to solve this question? Thanks. :smile:
 

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  • #2
frozen7 said:
ABsin60 + BCsin30 = 2g
This one's OK (vertical forces at B).
CDsin70 + BCsin30 = m(Q)g
Vertical forces at C. Problem: Tension "BC" pulls down at C.
ABcos60 = CDcos70 + BCcos30
Where did this one come from? Instead, consider horizontal forces at B and C.
 
  • #3
The part I don't understand the most is about the horizontal force...
Is ABcos60 = BC cos30 and BCcos30 = CDcos70 ??
 
  • #4
frozen7 said:
Is ABcos60 = BC cos30 and BCcos30 = CDcos70 ??
That looks correct to me.
 
  • #5
Some more...may I know how to identify the direction of tension BC vertically?
Thanks.
 
  • #6
frozen7 said:
Some more...may I know how to identify the direction of tension BC vertically?
I'm not sure I understand your question. The angle of BC is given. The tension pulls upwards at B and downwards at C.
 
  • #7
Thanks a lot...
 

1. What is the tension angle in a physics problem?

The tension angle in a physics problem refers to the angle at which a string or rope is pulled in order to maintain tension in the system. This angle is typically measured from the horizontal or vertical axis, depending on the problem.

2. How is the tension angle calculated?

The tension angle can be calculated using trigonometric functions, specifically the sine or cosine. The exact calculation will depend on the specific problem and the given information.

3. What factors affect the tension angle?

The tension angle is affected by the force and direction of the applied tension, as well as the weight and position of any objects attached to the string or rope. Friction and other external forces may also play a role.

4. How does the tension angle impact the overall system?

The tension angle is an important factor in determining the stability and equilibrium of the system. It can affect the forces acting on different components and determine whether the system is in balance or not.

5. Can the tension angle be manipulated to achieve a desired outcome?

Yes, the tension angle can be manipulated by adjusting the tension force or the position of objects attached to the string or rope. This can be useful in solving physics problems and designing systems that require specific angles of tension for optimal performance.

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