Elements of Dynamics (kinetics and Statics): With Numerous Exercises. A Text-book for Junior Students

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Rivingtons, 1888 - Dynamics - 348 pages
 

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Page 74 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 79 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 65 - A balloon has been ascending vertically at a uniform rate for 4-5 seconds, and a stone let fall from it reaches the ground in 7 seconds ; find the velocity of the balloon and the height from which the stone is let fall.
Page 185 - If two forces acting perpendicularly at the extremities of the arms of any lever balance each other, they are inversely as the arms. Prop. 6. If two forces acting at any angles on the arms of any lever balance each other, they are inversely as the perpendiculars drawn from the fulcrum to the directions in which the forces act Prop.
Page 99 - To every action there is always an equal and contrary reaction ; or the mutual actions of any two bodies are always equal and oppositely directed.
Page 59 - Describe a circle which shall touch a given straight line at a given point, and bisect the circumference of a given circle.
Page 136 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 124 - CB and CD. Prove that the resultant force is represented in magnitude and direction by four times the line joining the middle points of the diagonals of the quadrilateral.
Page 234 - A uniform rod rests with one extremity against a rough vertical wall (M=£), 'he other extremity being supported by a string three times the length of the rod attached to a point in the wall...
Page 123 - Ib. respectively act at a point in directions parallel to the sides of an equilateral triangle taken in order : find their resultant in magnitude and direction.

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