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JP 1 JP 2 JP 3 (1686) Philosophiae Naturalis Principia Mathematica In this work, he proposed three “laws” of motion: JP 4 NEWTON’S FIRST LAW : “Every body continues in a state of rest or uniform motion in a straight line unless impressed forces act upon it.” JP 5 parked up NEWTON’S FIRST LAW : “Every body continues in a state of rest or uniform motion in a straight line unless impressed forces act upon it.” JP 6 AAAAAAA H STATE OF REST JP UNLESS ……. ! 7 NEWTON’s FIRST LAW … constant velocity, unless …….. YOU UNDERSTAND WHAT I AM SAYING JP 8 NEWTON’s FIRST LAW INTRODUCES THE IDEA OF INERTIA THE RELUCTANCE OF A BODY AT REST TO MOVE (OR OF A MOVING BODY TO CHANGE ITS STATE OF MOTION) THE PRACTICAL MEASURE OF INERTIA IS JP MASS 9 The greater the mass of a body, the greater its INERTIA Make me JP 10 locking rod pivots seat belt Car stops but inertia carries pendulum forward ratchet wheel Direction of motion JP 11 WHEN FORCES ARE BALANCED OBJECTS IN MOTION, STAY IN MOTION OBJECTS AT REST, STAY AT REST [SAME SPEED & DIRECTION] JP 12 A body is in a state of equilibrium if the forces acting on it are in balance 8N 8N 8N 2 forces balanced 8N 1200 1200 1200 3 forces balanced 8N JP 13 THERE ARE TWO CONDITIONS FOR A BODY TO BE IN EQUILIBRIUM: • THE SUM OF THE FORCES IN ANY DIRECTION IS ZERO • THE SUM OF THE MOMENTS ABOUT ANY POINT IS ZERO JP 14 CAN YOU EXPLAIN WHAT HAPPENS BELOW? JP 15 WHEN FORCES ARE NOT BALANCED A RESULTANT FORCE CHANGES A BODY’S VELOCITY JP 16 NEWTON’S SECOND LAW : “THE RATE OF CHANGE OF MOMENTUM OF A BODY IS DIRECTLY PROPORTIONAL TO THE RESULTANT EXTERNAL FORCES ACTING UPON IT, AND TAKES PLACE IN THE DIRECTION OF THAT FORCE” JP 17 A RESULTANT FORCE PRODUCES A CHANGE IN A BODY’S MOMENTUM A RESULTANT FORCE AN JP ACCELERATION 18 JP 19 NEWTON’S SECOND LAW units • F in Newtons • m in kilograms • a in metres per second2 JP 20 ACCELERATION IS DIRECTLY PROPORTIONAL TO THE APPLIED FORCE acceleration / ms-2 force / N N.B. - STRAIGHT LINE THROUGH THE ORIGIN JP 21 GRAPH OF ACCELERATION VERSUS MASS acceleration / ms-2 mass / kg 1 a m F=ma JP 22 ACCELERATION IS INVERSELY PROPORTIONAL TO MASS OF THE BODY acceleration / ms-2 1 / kg 1 m N.B. - STRAIGHT LINE THROUGH THE ORIGIN JP 23 NEWTON’S SECOND LAW IS USED IN TWO FORMS (mv) F t F ma Where F is the RESULTANT FORCE JP 24 JP 25 NEWTON’S THIRD LAW : “ACTION AND REACTION ARE ALWAYS EQUAL AND OPPOSITE” “IF A BODY A EXERTS A FORCE ON BODY B, THEN B EXERTS AN EQUAL AND OPPOSITELY DIRECTED FORCE ON A” JP 26 I’LL PULL HIM devishly clever WELL ACTION AND REACTION ARE ALWAYS EQUAL AND OPPOSITE!! JP 27 ACTION AND REACTION ARE ALWAYS EQUAL AND OPPOSITE!! WELL ACTION AND REACTION ARE SO WHY DOES THE GIRL MOVE FASTER? ALWAYS EQUAL AND OPPOSITE!! JP 28 NEWTON’S THIRD LAW PAIRS • THEY ARE EQUAL IN MAGNITUDE • THEY ARE OPPOSITE IN DIRECTION • THEY ACT ON DIFFERENT BODIES JP 29 NEWTON’S THIRD LAW PAIRS SIMILARITIES DIFFERENCES The 2 forces act for the same length of time The 2 forces act on different bodies The 2 forces are the same size The 2 forces are in opposite directions The 2 forces act along the same line Both forces are of the same type JP 30 THE CLUB EXERTS A FORCE F ON THE BALL THE BALL EXERTS A N EQUAL AND OPPOSITE FORCE F ON THE CLUB F JP 31 Drawing Free-Body Diagrams A free-body diagram singles out a body from its neighbours and shows the forces, including reactive forces acting on it. Free-body diagrams are used to show the relative magnitude and direction of all forces acting upon an object in a given situation. The size of an arrow in a free-body diagram is reflective of the magnitude of the force. The direction of the arrow reveals the direction in which the force is acting. Each force arrow in the diagram is labeled to indicate the exact type of force. JP 32 Tug assisting a ship Free body diagram for the ship Upthrust [buoyancy] Thrust from engines SHIP Friction Pull from tug weight JP 33 EXAMPLE 1 - A LIFT ACCELERATING UPWARDS If g = 10 ms-2, what “g force” does the passenger experience? The forces experienced by the passenger are her weight, mg and the normal reaction force R. The resultant upward force which gives her the same acceleration as the lift is R – mg. Apply F = ma R a = 20 ms-2 R – mg = ma Hence the forces she “feels”, R = ma + mg mg The “g force” is the ratio of this force to her weight. ma mg m(a g ) 20 10 3 mg mg 10 JP © 34