1. Engineering
  2. Mechanical Engineering
  3. 6c magnifying a glass b earth exercise 26 schematic diagram...

Question: 6c magnifying a glass b earth exercise 26 schematic diagram...

Question details

6-c magnifying a glass b Earth EXERCISE 2-6. Schematic diagram of two ball bearings falling onto Earths surface. Not to scale.Consider two ball bearings near the surface ot Earth and originally separated horizontally by 20 meters (Section 2.3). Demonstrate that when released from rest (relative to Earth) the particles move closer to gether by 1 millimeter as they fall 315 meters, using the following method of similar triangles or some other method Each particle falls from rest toward the center of Earth, as indicated by arrows in the figure. Solve the problem using the ratio of sides of similar triangles abc and abc. These triangles are upside down with respect to each other. However, they are similar be- cause their respective sides are parallel: Sides ac and ac are parallel to each other, as are sides be and bc and sides ab and ab. We know the lengths of some of these sides. Side ac - 315 meters is the height of fall (greatly exaggerated in the diagram); side ac is effectively equal to the radius of Earth, 6,371,000 meters. Side ab - (1/2) (20 meters) equals half the original separation of the particles. Side ab equals HALF their CHANGE in separation as they fall onto Earths surface. Use the ratio of sides of similar trian gles to find this half-change and therefore the en- tire change in separation as two particles initially 20 meters apart horizontally fall from rest 315 meters onto the surface of Earth

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution