 
									
								
									PhysCh7.78
									
... to maintain the object’s motion in a straight-line path. • In circular motion (I.e. a weight attached to a string), the string counteracts this tendency by exerting a force • This force is directed along the length of the string towards the center of the circle ...
                        	... to maintain the object’s motion in a straight-line path. • In circular motion (I.e. a weight attached to a string), the string counteracts this tendency by exerting a force • This force is directed along the length of the string towards the center of the circle ...
									Circular-Motion and forces
									
... Radial and Tangential • Always draw a picture where you can see the center of the circle • Use radial and tangential coordinate axes. • Set positive toward the center • Remember that radial acceleration is: ...
                        	... Radial and Tangential • Always draw a picture where you can see the center of the circle • Use radial and tangential coordinate axes. • Set positive toward the center • Remember that radial acceleration is: ...
									Non-Inertial Reference Frames
									
... An electromagnetic holds up a steel ball. When the current stops, the ball falls due to ...
                        	... An electromagnetic holds up a steel ball. When the current stops, the ball falls due to ...
									Newton`s Laws of Motion
									
... in algebra class. y corresponds to force, m to mass, x to acceleration, and b (the y-intercept) is zero. F ...
                        	... in algebra class. y corresponds to force, m to mass, x to acceleration, and b (the y-intercept) is zero. F ...
									Unit 5 Notes: Forces
									
... long as the elevator is in ________________________________. If the elevator accelerates upward, the scale reads a ________________________ force. (The floor presses harder into your feet.) If the elevator accelerates downward, the scale reads a ________________________ force. (The floor is falling ...
                        	... long as the elevator is in ________________________________. If the elevator accelerates upward, the scale reads a ________________________ force. (The floor presses harder into your feet.) If the elevator accelerates downward, the scale reads a ________________________ force. (The floor is falling ...
									Describing Motion - Science
									
... First we need to define the word FORCE: • The cause of motion (what causes objects to move) • Two types of forces – Pushes – Pulls ...
                        	... First we need to define the word FORCE: • The cause of motion (what causes objects to move) • Two types of forces – Pushes – Pulls ...
									Chapter Summary
									
... The standard method of solving force problems involves splitting the forces into components, applying Newton’s second law once for each direction, and combining the results. However, it should be kept in mind that some problems lend themselves to being solved with whole vectors. The steps in the sta ...
                        	... The standard method of solving force problems involves splitting the forces into components, applying Newton’s second law once for each direction, and combining the results. However, it should be kept in mind that some problems lend themselves to being solved with whole vectors. The steps in the sta ...
									Circular Motion
									
... Linear speed – distance/time Tangential speed – speed along a circular path Rotational speed – number of rotations per unit of time Example: Carousel horses travel at same rotational speed but different tangential speed ...
                        	... Linear speed – distance/time Tangential speed – speed along a circular path Rotational speed – number of rotations per unit of time Example: Carousel horses travel at same rotational speed but different tangential speed ...
									2-11. Third Law of Motion
									
... and then begin to fall with the acceleration due to gravity. When it passes the thrower, it will be traveling at the same rate at which it was thrown. ...
                        	... and then begin to fall with the acceleration due to gravity. When it passes the thrower, it will be traveling at the same rate at which it was thrown. ...
									Ch 4 Forces in 1D
									
... • Determine the magnitude and direction of a net force that causes a change in the motion of an object • Classify forces according to their cause ...
                        	... • Determine the magnitude and direction of a net force that causes a change in the motion of an object • Classify forces according to their cause ...
Newton's theorem of revolving orbits
In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.
 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									 
									