A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. 80.0⁰ TL = TR = i i -65.0°
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber. 80.0⁰ TL = TR = i i -65.0°
College Physics
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
Transcribed Image Text:**Problem Description:**
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 585 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope to the left and to the right of the mountain climber.
**Diagram Explanation:**
The diagram illustrates a mountain climber suspended between two cliffs. A rope is used to connect the two cliffs, with the climber hanging in between. The left segment of the rope makes an angle of 65.0° with the horizontal, while the right segment of the rope makes an angle of 80.0° with the horizontal.
**Variables:**
- \( T_L \): Tension in the left side of the rope.
- \( T_R \): Tension in the right side of the rope.
**Input Fields:**
Two input boxes are provided to fill in the values of \( T_L \) (left tension) and \( T_R \) (right tension).
**Goal:**
Calculate the tensions \( T_L \) and \( T_R \) based on the given angles and the weight of the climber (585 N).
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