EXPERIMENT 4 ADDITION OF FORCES AND VECTORS Objeetive: The purpose of this exper

Question

EXPERIMENT 4 ADDITION OF FORCES AND VECTORS Objeetive: The purpose of this experiment is to practice the addition of vectors graphically and analytically and to compare the results obtained by these two methods. Apparatus Cenco force table with pulleys, metal ring, string, mass hangers, masses, ruler, protractor force table provides a means for applying known forces at one or more points and in in the horizontal plane. The forces are the tensions in strings which various directions pass over pulleys attached to the rim of the circular table and from which masses are hung Terminology Objects called "weights" have both a mass measured in kilograms (or grams) and a weight measured in Newtons (or pounds). Weight is a measure of force (W-mg), NOT a measurement of mass. In the SI (metric) system, weights are sometimes designated by their mass. For example, a 100 gram "weight" is referred to by its mass of 100 grams. Theory: If several forces act on a body, the vector sum of these forces governs the motion of the body. According to Newton's 1 Law of Motion the body will remain at rest (if originally at rest) or will move with a constant velocity (if originally in motion) if the vector sum of all forces acting on it is zero (the vector sum is called the resultant force). The body is then said to be in translational equilibrium. -24-

Explanation / Answer

To find the magnitude of resultant force FR analytically, Just use the following formula

FR = sqrt(F12+ F22 + F32)

where, F1, F2, F3 are the three forces and sqrt stands for square root. Just square all the forces and add them up and then take the square root of the sum to get resultant force.

To solve this problem graphically, you may use vector addiction.

Each force can be represented as a vector. Just use head- to-tail method to join all the three forces. Then the resultant force will be given by the fourth vector which will join the head of third force to tail of first force.

In head to tail method, draw a force vector F1 as per the magnitude and direction, now draw another vector for F2 such that the arrow head of F1 joins to the tail of F2 . In the same way, arrow head of F2 SHOULD join tail of F3 . After you have drawn all three force vectors, draw resultant vector which will join between F3 Aand F1.

Remember to use graph paper for this method as it will give you an accurate resultant.

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