A Classical Approach of Newtonian Mechanics

4 NEWTON’S LAWS OF MOTION 4.8 Friction ering the law of electrostatic attraction). The frictional force exerted on a body slidin ...

4 NEWTON’S LAWS OF MOTION 4.8 Friction R W Figure 32: Friction which is μ time the magnitude of the normal reaction, or μ m g co ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference f m^ mg sin mg cos  mg  mg cos (^)   Figure 33: Block sliding down a ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference of our coordinate system, or rotate the coordinate axes. Clearly, in general, ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference P O’ O Figure 34: A moving observer as v = dr . (4.29) dt Hence, the correspon ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference 1 3 40 o^2 40 o M M^ which Newton’s laws of motion are equally valid—all movin ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference F m 25 o Combining the above two expressions, making use of the fact that T 4 ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference pulley F the block’s weight acting down the incline is m g sin 25 ◦. Hence, us ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference the upward acceleration a of the platform is 2 T − W a =. m Since T = F and m ...

4 NEWTON’S LAWS OF MOTION 4.9 Frames of reference frictional force (which acts upwards) must exceed the downward acting weight, ...

5 CONSERVATION OF ENERGY 5 Conservation of energy 5.1 Introduction Nowadays, the conservation of energy is undoubtedly the singl ...

5 CONSERVATION OF ENERGY 5.2 Energy conservation during free-fall 0 v^2 = v 2 − 2 g s. Suppose that the mass falls from height h ...

5 CONSERVATION OF ENERGY 5.2 Energy conservation during free-fall we have already analyzed free-fall under gravity using Newton’ ...

5 CONSERVATION OF ENERGY 5.3 Work previous example, there is no way in which we can deduce how long it takes the mass to rise to ...

5 CONSERVATION OF ENERGY 5.3 Work will return this energy to the mass—without loss—if the mass falls by the same distance. In ph ...

5 CONSERVATION OF ENERGY 5.3 Work 0 · which the force acts is both 1-dimensional and parallel to the line of action of the force ...

5 CONSERVATION OF ENERGY 5.3 Work m x z Figure 35: Coordinate system for 2 - dimensional motion under gravity can be rewritten ∆ ...

5 CONSERVATION OF ENERGY 5.3 Work X ' · A ̧ X ∫^ f |f| |s| cos   Figure 36: Definition of work that the vector displacement o ...

5 CONSERVATION OF ENERGY 5.3 Work B A Figure 37: Possible trajectory of an object in a variable force-field B A Figure 38: Appro ...

5 CONSERVATION OF ENERGY 5.3 Work ∫ m dt^2 dx = m dt^2 dt dt = (^) dt 2 (^) dt, (5.20) xA xB x -> Figure 39: Work performed b ...