Chapter study guide

Forces include gravity, friction, and forces from devices such as ropes or springs. Many forces may act on an object simultaneously. The net force is the vector sum of all forces acting on an object. The net force determines acceleration. Zero net force means zero acceleration. A nonzero net force causes acceleration equal to the net force divided by the object’s mass. Normal forces act between objects and supporting surfaces. A free-body diagram is a sketch showing the location and direction of all forces acting on an object. Forces always exist in action–reaction pairs. Each force in a pair is equal in magnitude and opposite in direction to its partner and the two forces in a pair always act on different objects. The force from a spring is proportional to its deformation according to Hooke’s law. Friction is a catch-all term for forces that act to oppose motion. Kinetic friction acts between moving surfaces, rolling friction acts between rolling surfaces, viscous friction applies to fluids, and static friction acts between surfaces with no relative motion.


By the end of the chapter you should be able to
calculate the net force from any combination of one-, two-, or three-dimensional forces;
draw a free-body diagram of a two-dimensional system of forces;
identify and represent action–reaction, weight, friction, and normal forces on free-body diagrams;
solve problems including forces from static, kinetic, and rolling friction; and
solve problems involving forces from extension and compression springs.


5A: Newton’s second law
5B: Hooke’s law
5C: Static and kinetic friction

132Forces
133Weight
134Normal forces and free-body diagrams
135Center of mass
136Drawing free-body diagrams
137Net force
138Equilibrium and statics
139Section 1 review
140Newton’s laws
141Newton’s second law
142Determining motion from forces
143Determining forces from motion
1445A: Newton’s second law
145Reaction forces and the third law
146Section 2 review
147Springs and Hooke’s law
1485B: Hooke’s law
149Solving spring problems
150Generalization of Hooke’s law
151Section 3 review
152Friction
153Static friction
154Sliding friction
1555C: Static and kinetic friction
156Rolling friction
157Viscosity and air resistance
158Section 4 review
159Chapter review
F w =mg
g=9.8 N/kg
F 1 + F 2 + F 3 +=0
a= F m
F=kx
F f = μ s F N
F f = μ k F N
F f = μ r F N
F f = 1 2 c d ρA v 2
 
forcenewton (N)pound (lb)
weightfree-body diagramnormal force
center of massnet forceequilibrium
frictionNewton’s first law of motionNewton’s second law of motion
Newton’s third law of motionreaction forcespring constant
springHooke’s lawelasticity
brittlematerial strengthstatic friction
coefficient of static frictioncoefficient of kinetic frictionlubrication
sliding frictionrolling frictioncoefficient of rolling friction
viscositydrag coefficient

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