Mechanics: An Elementary Study Prepared for the Use of the Midshipmen at the United States Naval Academy |
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Mechanics: An Elementary Study Prepared for the Use of the Midshipmen at the ... Harry Eaton Smith No preview available - 2016 |
Mechanics: An Elementary Study Prepared for the Use of the Midshipmen at the ... Harry Eaton Smith No preview available - 2017 |
Mechanics: An Elementary Study Prepared for the Use of the Midshipmen at the ... Harry Eaton Smith No preview available - 2016 |
Common terms and phrases
accelerating force algebraic sum angle angular acceleration angular velocity axes belt force called center of force center of gravity center of motion central field circle co-ordinate component constant cord curve curvilinear cylinder diameter displacement distance dt dt earth equal to zero equation of motion f/s² foot-pounds forces acting forces which act formula horizontal inclined plane inertia instant Integrating kinetic energy kinetic equilibrium length line of action linear velocity mass moment of inertia normal oscillation particle path pendulum perpendicular position pound preceding article Problems radial radius of gyration rectilinear Referring to Fig represented resolved rest resultant retardation revolutions per minute rigid body smooth space traversed square straight line substituting surface tangent tangential component tension three forces tion total acceleration triangle unit vector quantity vertical weight wheel
Popular passages
Page 106 - To every action there is always an equal and contrary reaction ; or the mutual actions of two bodies are always equal and oppositely directed.
Page 106 - I. 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 20 - The moment of a force about any point is the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.
Page 22 - The moment of the couple about any point in the plane of the forces is equal to the product of one of the forces and the perpendicular distance between the lines of action of the forces.
Page 20 - 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 63 - Since the algebraic sum of the moments of all the forces about any point equals zero...
Page 182 - The squares of the periods of the planets are proportional to the cubes of their mean distances from the sun; ie, t? : t} : : ai3 : a.j3. This is the so-called
Page 17 - The Arm of a couple is the perpendicular distance between the lines of action of the two forces...
Page 36 - ... is equal to the product of the area and the length of the path traced by the centroid of the area.
Page 35 - II. // an arc of a plane curve is revolved about a line which lies in its plane but does not intersect the arc, then the surface area generated by the arc is equal to the product of the length of the arc and the distance traveled by its center of gravity.