1. Dynamics

2. Dynamics Newton’s Laws Of Motion

3. Dynamics Newton’s Laws Of Motion Law 1 “ Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter, nisi quatenus a viribus impressis cogitur statum illum mutare.”

4. Dynamics Newton’s Laws Of Motion Law 1 “ Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter, nisi quatenus a viribus impressis cogitur statum illum mutare.” Everybody continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.

5. Dynamics Newton’s Laws Of Motion Law 1 “ Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter, nisi quatenus a viribus impressis cogitur statum illum mutare.” Everybody continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it. Law 2 “ Mutationem motus proportionalem esse vi motrici impressae, et fieri secundum rectam qua vis illa impritmitur.”

6. Dynamics Newton’s Laws Of Motion Law 1 “ Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter, nisi quatenus a viribus impressis cogitur statum illum mutare.” Everybody continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it. Law 2 “ Mutationem motus proportionalem esse vi motrici impressae, et fieri secundum rectam qua vis illa impritmitur.” The change of motion is proportional to the motive force impressed, and it is made in the direction of the right line in which that force is impressed.

10. (constant = mass)

11. (constant = mass) Law 3 “ Actioni contrariam semper et aequalem esse reactionem: sive corporum duorum actions in se mutuo semper esse aequales et in partes contrarias dirigi.”

12. (constant = mass) Law 3 “ Actioni contrariam semper et aequalem esse reactionem: sive corporum duorum actions in se mutuo semper esse aequales et in partes contrarias dirigi.” To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal, and directed in contrary parts.

13. Acceleration

14. Acceleration

15. Acceleration (acceleration is a function of t )

16. Acceleration (acceleration is a function of t ) (acceleration is a function of x )

17. Acceleration (acceleration is a function of t ) (acceleration is a function of x ) (acceleration is a function of v )

18. Acceleration (acceleration is a function of t ) (acceleration is a function of x ) (acceleration is a function of v ) e.g. (1981) Assume that the earth is a sphere of radius R and that, at a point r from the centre of the earth, the acceleration due to gravity is proportional to and is directed towards the earth’s centre. A body is projected vertically upwards from the surface of the earth with initial speed V .

19. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface.

20. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. O

21. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. O

22. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. O

23. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. O

24. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. O

25. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

26. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

27. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

28. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

29. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

30. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

31. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

32. ( i ) Prove that it will escape the earth if and only if where g is the magnitude of the acceleration due to gravity at the earth’s surface. resultant force O

37. If particle never stops then

38. If particle never stops then

39. If particle never stops then

40. If particle never stops then

41. If particle never stops then

42. If particle never stops then

43. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is;

44. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is;

45. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is;

46. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is;

47. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is; (cannot be –ve, as it does not return)

48. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is; (cannot be –ve, as it does not return)

49. ( ii ) If ,prove that the time taken to rise to a height R above the earth’s surface is; (cannot be –ve, as it does not return)

58. Exercise 8C; 3, 15, 19