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Book Elements of dynamics: kinetics and statics. with exercises. A text-book for junior students

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Elements of dynamics: kinetics and statics. with exercises. A text-book for junior students

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    Available in PDF - DJVU Format | Elements of dynamics: kinetics and statics. with exercises. A text-book for junior students.pdf | Language: ENGLISH
    John Lovell Robinson (Author)

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1890 Excerpt: ...I. 62. If a right-angled triangle be suspended from either of the points of trisection of the hypothenuse, show it will rest with one side horizontal. 63. A triangular lamina, when suspended from a point Pin the side AB, rests with the side BC vertical: show that AP=2BP. Miscellaneous. 64. Give examples of bodies in stable, unstable, and neutral equilibrium, and show how in each case the C. G. is affected by a slight displacement of the body. 65. If the C. G. of a triangle coincide with the C. G. of the inscribed circle, show that the triangle is equilateral. 66. Show that a body has one, and only one, Centre of Gravity. 67. Show that the locus of the C. G.'s of all right-angled triangles which can be described upon the same hypothenuse is a circle, and find the radius of that circle. 68. If a point be kept in equilibrium by forces represented in magnitude and direction by OP, OQ, OR, show that O is the C. G. of the triangle PQK. 69. Four 8-inch shells, each touching the other three, form a pyramid on a horizontal floor: find distance of their common C. G. from the floor. 70. Each of the sides AD, DG, GA, of an isosceles right-angled triangle (A--90) is divided into three equal parts. At the successive points of division A,B,C,... I, are placed particles whose weights are proportional to 1, 2, 3,... 9 respectively. Find the distance of their C. G. from the sides AD and AG. 71. If G be the C. G. of a triangle ABC, and from G and A two parallel lines be drawn to meet BC in E and D respectively, then DE=BDDC). 72. Weights, P, Q, R, are placed at the vertices A, B, C respectively of a triangle, and their C. G. is at the centre of the circle described about the triangle. Prove that P Q R sin 2.A'sin 2B-sin 2C 73. If G be the C. G. of a triangle ABC (A-ytf),...
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