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Newton’s Laws Chapter 4 – Force and Motion Newton 1 Law of Inertia “In the absence of an unbalanced force (Fnet = 0) a body at rest remains at rest and a body in motion remains in motion with a constant velocity. Inertia – the tendency of objects to resist changes in motion Newton 2 Fnet = ma A net unbalanced force changes a body’s velocity. The acceleration caused by an unbalanced force is directly proportional to the net force and inversely proportional to the mass of the body. Weight Weight is the force of gravity pulling a body towards Earth. Since the Earth accelerates all objects near the surface at g = -9.8 m/s2, weight is calculated using Newton’s second law: F = ma W = mg Newton 3 For every force (action) there is an equal and opposite force (reaction). Forces The come in pairs! normal force is the reaction to an object’s weight. Action Reaction Pairs When considering the motion of an object, we consider only forces acting on the object and ignore the reaction pair.. Identify the action reaction pairs on page 114 Normal Force Calculations Figure 4.11 page 113 To find the normal force, resolve all forces acting on a body into components both parallel and perpendicular to the surface on which the body rests. The normal force is found by ensuring an equilibrium of all components perpendicular to the surface. Free Body Diagrams Force vectors are sometimes drawn to indicate their point of application on an object. In a free-body diagram, all forces are shown as emanating from a common point (the origin) Forces don’t have to be drawn to scale but the diagram should show whether there is a net force. Drawing Free Body Diagrams 1. 2. 3. 4. 5. Sketch the situation and identify the forces acting on each body of the system. Isolate the body for which the free-body diagram is to be constructed. Draw a set of axes through the body, with one axis aligned with the object’s acceleration. Draw properly oriented force vectors (include angles) emanating from the origin. Resolve vectors into components. See Example 4.6 page 117