Some Problems of Sidereal Astronomy (1917)(en)(26s) by Russell H. N.

By Russell H. N.

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9). Secondly, do not hurry to resolve the forces before it can be done properly. First you should find all forces applied to the body, and show them in the drawing. Only then can you begin to resolve some of them. Thirdly, you must remember that after you have resolved a force you should "forget" about its existence and use only its components. Either the force itself, or its components, no compromise. STUDENT: I—Iow do I choose the directions of resolution? TEACHER: In making your choice you should consider the nature of the motion of the body.

6. ward, perfnendicular to an inclined plane with an angle of inclination cz. I the initia velocity is vo, at what distance from the point from which it is thrown will the stone fall? 7. 5 m tall, standing at a distance of 15 m from a fence 5 m high, throws a stone at an angle of 45° to the horizontal. With what minimum velocity should the stone be thrown to fly over the fence? '__'_`_— TEACHER: In solving problems § 6- in dynamics it is especially imHOW DO YOU GO ABOUT portant to be able to determine sorvmo 1>RoBLEMs fggricggl (21;; ggies apphed tO IN DYNAMICS?

Newton’s second law establishes a relationship between force and acceleration. But force and acceleration are vector quantities, characterized not only by their numerical value (magnitude) but by their direction as well. Your statement of the law fails to specify the directions. This is an essential shortcoming. Your statement leaves out a vital part of Newton’s second law of motion. Correctly stated it is: the acceleration of a body is directly proportional to the resultant of all forces acting on the body, inversely proportional to the mass of the body and takes place in the direction of the resultant force.

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