A Classical Approach of Newtonian Mechanics

3 MOTION IN 3 DIMENSIONS 3.12 Relative velocity x y N W E S Figure 19: Coordinates for relative velocity problem N E r sin Fig ...

3 MOTION IN 3 DIMENSIONS 3.12 Relative velocity v v g y As an illustration, suppose that the plane’s velocity relative to the ai ...

3 MOTION IN 3 DIMENSIONS 3.12 Relative velocity ×− 1 if vg (^) x < 0. These expressions can be derived from simple trigonomet ...

3 MOTION IN 3 DIMENSIONS 3.12 Relative velocity ‚ ., g Thus, the plane’s velocity relative to the ground is 289.9 km/h at a comp ...

3 MOTION IN 3 DIMENSIONS 3.12 Relative velocity × qv + v + 2 g z (^0 0) Worked example 3. 2 : Cannon shot Question: A cannon pl ...

4 NEWTON’S LAWS OF MOTION 4.Newton’s laws of motion 4.1 Introduction In his Principia, Newton reduced the basic principles of me ...

4 NEWTON’S LAWS OF MOTION 4.3 Newton’s second law of motion Nowadays, Newton’s first law strikes us as almost a statement of the ...

4 NEWTON’S LAWS OF MOTION 4.4 Hooke’s law Figure 21: Hooke’s law 4.4 Hooke’s law One method of quantifying the force exerted on ...

4 NEWTON’S LAWS OF MOTION 4.5 Newton’s third law of motion f (^2) f f 2 f 1 f 1 m Figure 22: Addition of forces Suppose that we ...

4 NEWTON’S LAWS OF MOTION 4.6 Mass and weight a fab b f ba Figure 23: Newton’s third law then, in Newton’s language, fba is the ...

4 NEWTON’S LAWS OF MOTION 4.6 Mass and weight Figure 24: Weight by forces of the same magnitude then the resulting acceleration ...

4 NEWTON’S LAWS OF MOTION 4.6 Mass and weight Figure 25: Weight in an elevator So far, we have established that the weight W of ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines Hence, W − m g = m a. (4.5) This equation can be rearranged to give ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines T m beam string block mg Figure 26: Block suspended by a string is ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines Figure 27: Block suspended by three strings T 2 , in these strings, ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines (^) T 2 30 o T 1 60 o T Figure 28: Detail of Fig. 27 tension T is − ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines Figure 29: Block sliding down an incline component of any inward fo ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines whilst the second is suspended over the edge of the table by means ...

4 NEWTON’S LAWS OF MOTION 4.7 Strings, pulleys, and inclines (^1) T m (^2) m T m 2 g Figure 30: Block sliding over a smooth tabl ...

4 NEWTON’S LAWS OF MOTION 4.8 Friction T m 2 T . m^2 .^ (^) g 1 m 1 g Figure 31: An Atwood machine their weights partially cance ...