By Milton Galembo
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Extra resources for Work-a-text in physical science (Cambridge work-a-text)
Forces. 15. Three parallel forces are acting simultaneously at the same point on an object. One force is pulling to the left with a force of 25 lbs. and the other two are pulling to the right with forces of 10 lbs. and 5 lbs. respectively. (a) Graphically represent these forces by using the following scale. Scale : 1 inch 10 lbs. ( b ) The magnitude and the direction of the resultant of the applied forces is . . . . . . . . 16. If the difference between all forces acting at a point is zero, the forces are in .
Example: R = y25 R = 5 lbs The magnitude of the resultant can be ob tained by drawing the applied forces to scale and completing the parallelogram with the two forces acting at the given angle as sides. Draw in the diagonal as shown by the dotted line in the above diagram. Measurement of the diagonal gives the magnitude of the resultant. If the concurrent forces (forces acting si multaneously ) act at an angle other than a right angle, the approximate value of the resultant can be obtained. We can construct a parallelogram to scale using the two vectors as the sides of the parallelogram.
If the plane were 6 feet high, how much effort would the man exert in raising the object this distance? R X H 200 lbs. X 6 ft. -lb. E = = = = E X L E X 1 2 ft. 12 E 1 00 lbs. The actual mechanical advantage of the inclined plane is obtained by dividing the resistance by the effort. Thus, the MA of this inclined plane is determined as follows : MA =R= E 200 lbs. 1 00 lbs. =2 Useful applications of the inclined plans. inclined plane, remember that this force must be exerted over a longer distance.