Tension, vectors and angles, oh my

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A block of weight W is suspended by a cord at a 30° angle to the vertical, with a tension of 20 N in the ceiling cord. To find the tension in the horizontal cord, one must analyze the equilibrium of forces, where the vertical and horizontal components must balance out. The vertical component of the tension supports the block's weight, while the horizontal component counteracts the tension in the horizontal cord. Since the textbook lacks practical examples, creating a sketch to visualize the forces can aid in understanding the problem. This approach is essential for solving typical statics questions effectively.
moonpearl
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hi, I'm having trouble with another question:

2. A block of weight W is attached to the ceiling by a cord which makes an angle
θ = 30° to the vertical, and to the wall by a horizontal cord. If the tension in the cord
attached to the ceiling is 20 N, the tension in the horizontal cord will be
A) 20 N
B) 17 N
C) 12 N
D) 10 N

I keep getting to wrong answer. I'm really bad with angles and stuff, so I'm not sure how to solve this. Any help would be appreciated.
 
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Since the block is in equilibrium, you should know that the vertical and horizontal components of the forces on it must add to zero. Hint: Consider the horizontal components.
 
This is a typical "Statics" question - there should be a lot of examples in your textbook.
 
my textbook is a conceptual physics textbook...only theory is covered...so there are no examples...
 
Make a sketch with the two ropes. Split the tension in the rope into horizontal and vertical components. The vertical component will be supporting the weight of the block. The horizontal component will be resisting the pull of the other, horizontal rope.

Clear?
 
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