Applied Mechanics: A Treatise for the Use of Students who Have Time to Work Experimental, Numerical, and Graphical Exercises, Illustrating the Subject |
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acceleration amount angular velocity axis balance beam bending bending moment body calculate called centre of gravity centrifugal force compressive stress constant cubic curvature curve cylinder deflection diagram direction distance draw elasticity engine equal EXERCISES feet per second fixed fluid foot foot-pounds force acting friction girder given Hence horizontal horse-power inertia kinetic energy length load mass material modulus moment of inertia momentum motion moving multiplied parallel pendulum pipe plane plate pound of water pressure produce proportional pull pulley pump radians radius resistance revolutions per minute right angles rotation shaft shape shear stress shearing force speed spring square inch steel strain strength strut student Suppose surface tensile stress thickness tube twisting vertical vibration w₁ weight wheel wire wrought iron Young's modulus
Popular passages
Page 7 - Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Page 6 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Page 619 - Now, we know that the sum of the moments of all the forces about any point must be nothing. Take all the moments about the point p. The force at P...
Page 139 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes.
Page 221 - ... State and prove the rule for estimating the relative speeds of two pulleys connected by a belt. Also, the velocity ratio between the first driver and the last follower in belt gearing, where there are two or more drivers and a corresponding number of followers. [A main shaft carrying a pulley of 12 inches diameter and running at 60 revolutions per minute, communicates motion by a belt to a pulley of 12 inches diameter, fixed to a countershaft. A second pulley on the countershaft, of 8| inches...
Page 129 - ... then, that the force polygon alone is sufficient to find the resultant of any number of forces if the forces meet at a point, but we need also the link polygon if the forces do not meet at a point. The link polygon really shows that the sum of the turning moments of the forces 1, 2, 3, 4 (Fig 76) about any point is equal to the moment of the resultant about the same point. The force polygon pays no regard to turning moments...
Page 7 - From eight times the chord of half the arc, subtract the chord of the whole arc, and divide the remainder by 3, and the quotient will be the length of the arc, nearly.
Page 7 - Take the sum of the extreme ordinates (in many cases each of the extreme ordinates is of no length), four times the sum of the even ordinates, and twice the sum of the odd ordinates (omitting the first and last) ; multiply the total sum by one-third of the distance between any two successive ordinates.
Page 25 - Telocity of 1 radian per second at the end of the first second, its average angular acceleration during this time is 1 radian per second per second. 113. Exercises. — (1.) A shaft revolves at 800 revolutions per minute. What is its angular velocity in radians per second ? ' Ans., 83'79. (2.) A point is 3,000 miles from the earth's axis, and revolves once in 23 hours 56 minutes 4 seconds. What is its velocity in miles per hour?