A Collection of Problems in Illustration of the Principles of Theoretical Mechanics |
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Page v
... Friction . II . Friction CHAPTER II . 43 45 49 CHAPTER III . Equilibrium of a Single Body 1 . No Friction II . Friction 33F 53 55 71 CHAPTER IV . Equilibrium of several Bodies I. No Friction ** 84 84 92 II . Friction 96 III . Systems of ...
... Friction . II . Friction CHAPTER II . 43 45 49 CHAPTER III . Equilibrium of a Single Body 1 . No Friction II . Friction 33F 53 55 71 CHAPTER IV . Equilibrium of several Bodies I. No Friction ** 84 84 92 II . Friction 96 III . Systems of ...
Page 45
... Friction . ( 1 ) P and W ( fig . 17 ) are two heavy particles ; W is attached to the end of a fine thread , and P is suspended from a fixed point C of the thread ; the thread has one extremity attached to a fixed point A , and passes ...
... Friction . ( 1 ) P and W ( fig . 17 ) are two heavy particles ; W is attached to the end of a fine thread , and P is suspended from a fixed point C of the thread ; the thread has one extremity attached to a fixed point A , and passes ...
Page 48
... will be no position of equilibrium unless the latus rectum of the parabola be equal to ; and under this condition 2g μ every point of the tube will be a position of rest . SECT . 2. Friction . ( 1 ) Two heavy 48 EQUILIBRIUM OF A PARTICLE .
... will be no position of equilibrium unless the latus rectum of the parabola be equal to ; and under this condition 2g μ every point of the tube will be a position of rest . SECT . 2. Friction . ( 1 ) Two heavy 48 EQUILIBRIUM OF A PARTICLE .
Page 49
... friction on the planes CA , C'A , and R , R ' , their reactions ; a , a ' , the inclinations of the two planes , and 0 , 0 ' , of the two portions of the string , to the vertical . Then , since by hypothesis the friction on P will be ...
... friction on the planes CA , C'A , and R , R ' , their reactions ; a , a ' , the inclinations of the two planes , and 0 , 0 ' , of the two portions of the string , to the vertical . Then , since by hypothesis the friction on P will be ...
Page 50
... friction , a the inclination of the plane to the horizon , W the weight of the particle . Then , since the friction must in this case act down the plane , we have for the equi- librium of the particle , resolving forces parallel to the ...
... friction , a the inclination of the plane to the horizon , W the weight of the particle . Then , since the friction must in this case act down the plane , we have for the equi- librium of the particle , resolving forces parallel to the ...
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Common terms and phrases
absolute force acted angular velocity attraction axes axis body catenary centre of force centre of gravity circle co-ordinates coefficient of friction collision cos² curve cylinder d²x denote density determine direction distance dx dy dx² elastic ellipse equal equation Euler find the centre find the position fixed point formula given velocity hence horizontal plane inclined plane integrating James Bernoulli John Bernoulli latus rectum middle point motion oscillation parabola particle perpendicular position of equilibrium pressure problem projection radius of gyration rest right angles SECT shews sin² smooth sphere square straight line string supposing surface taking moments tan² tangent tension triangle tube unit of mass varying inversely vertical plane virtual velocities Vis Viva weight zero
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