# Elements of Mechanics; Including Kinematics, Kinetics and Statics with Applications

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 edition. Excerpt: ...ABC equilibrate (Art. 140a). 29. Define the CG. of a system of heavy particles, and show that in every case there exists only one such point. Suppose there are two such points G, G, . The direction of the resultant force of gravity is towards the earth's center no matter how the body is turned. Turn the body so that the line G, G, is perpendicular to the direction of this force. The force cannot therefore pass through both 0, and GT 30. A flat disk is not perfectly circular. How would you find its (LG.? 31. A body supported at its C.G. will remain at rest in any position. 32. A person going uphill appears to lean forwards and going down to lean backwards. Explain. 33. State a rule for finding the centroid of a uniform triangular (1) lamina, (2) wire. ' 34. Find the centroid of a trapezoid, the parallel sides being a and b respectively and their distance apart d. 35. Given the weights and C.G. of a body and of one part of it to find the C.G. of the remainder. 36. In an inclined plane AB a weight P suspended by a thread passing over the highest point B balances a weight Q on the plane. Show that the (LG. of P and Q remains at the same height above the base whatever the positions of the weights. (Torricelli's principle.) 37. Find the (LG. of a quadrilateral. 38. P is a point without a triangle ABC. Show that the resultant of the forces represented by PA, PB, PC passes through the C.G. of the triangle. 39. The three sections of a fishing-rod are 4ft, 2 ft, and 1 ft long and weigh 8 oz, 6 oz, and 4 oz respectively. Find the C.G. of the rod when drawn out to its full length. 40a. How does the property that every body has but one C.G. help us to solve geometrical theorems? Place weights at certain points. Combine in different order...show more

## Product details

• Paperback | 106 pages
• 189 x 246 x 6mm | 204g
• United States
• English
• black & white illustrations
• 1236893042
• 9781236893048