A climber of mass 80 kg is on a steep rock face. The force X that the rock exerts on the climber is at an angle of 50° to the vertical.Y, the other force on the climber, keeps him in equilibrium and is provided by a rope at an angle of 40° to the vertical. draw a sketch to show the forces acting on the climber
Answer
Sure! Here's a sketch showing the forces acting on the climber:
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In the sketch, the upward force provided by the rope is labeled as "Y", and the force exerted by the rock on the climber is labeled as "X". Both forces are at angles with respect to the vertical.
To understand the forces acting on the climber, we can draw a free-body diagram, which is a simplified sketch that shows all the forces acting on an object. Here's how to draw the free-body diagram:
1. Start by drawing a vertical line to represent the rock face. This line will represent the vertical direction.
2. At the bottom of the vertical line, draw an arrow pointing upward, representing the force X that the rock exerts on the climber. Since the force X is at an angle of 50° to the vertical, draw the arrow at a 50° angle from the vertical line.
3. At the top of the vertical line, draw an arrow pointing downward, representing the weight of the climber. The weight can be calculated using the formula: weight = mass * gravity, where gravity is approximately 9.8 m/s^2.
4. Next, draw another arrow starting from the top of the vertical line, pointing downward at a 40° angle to represent the force Y provided by the rope. Since force Y is at an angle of 40° to the vertical, draw the arrow at a 40° angle from the vertical line.
Your final sketch should show two forces: X at a 50° angle to the vertical and Y at a 40° angle to the vertical. The weight of the climber points directly downward.