4. Two girls hold a pleture against the wall to measure its height before their mother hammers a picture hook into the wall. One girl exerts a force of 35 t and the other girl exerts a force of 55 N . The angle between their arms is 90 a) Draw a free-body diagram of the forces acting on the picture. b) Draw a triangle of forces acting on the picture. c) Calculate the weight of the plcture. ( 65 N ) 5. The diagram shows the result from an experiment that determined the resultant of three non-linear forces acting on a point. The system is in equilibrium.
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When two forces act at right angles, you can find the resultant using the Pythagorean theorem. In this case, if one girl exerts 35 N vertically and the other exerts 55 N horizontally, you can calculate the total force using the formula \( F_{resultant} = \sqrt{(35^2 + 55^2)} \), which comes out to about 65 N to balance the downward force of the picture's weight. A common mistake when dealing with forces in equilibrium is neglecting the vector nature of forces. Remember, forces acting at angles need to be resolved into their components correctly. Always ensure to add up forces in both the horizontal and vertical directions to check for equilibrium. This guarantees that your resultant force balances out with weights or other forces acting on the system!
