Chapter 5:Using Newton’s Laws: Friction, Circular Motion, Drag Forces

Question Which of the following always stays the same: A) Your mass B) Your weight C) Your apparent weight D) A and B E) B and C

Problem 51:The Figure below shows a block of mass m A on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block of mass m B which hangs vertically. (a) Draw a free-body diagram for each block, showing the force of gravity on each, the force (tension) exerted by the cord, and any normal force. (b) Apply Newton’s second law to find formulas for the acceleration of the system and for the tension in the cord. Ignore friction and the masses of the pulley and cord.

Applications of Newton’s Laws Involving Friction Friction is always present when two solid surfaces slide along each other.

Applications of Newton’s Laws Involving Friction Sliding friction is called kinetic friction. Approximation of the frictional force: F fr = μ k F N. Here, F N is the normal force, and μ k is the coefficient of kinetic friction, which is different for each pair of surfaces. This equation is not a vector equation.

Applications of Newton’s Laws Involving Friction Static friction applies when two surfaces are at rest with respect to each other (such as a book sitting on a table). The static frictional force is as big as it needs to be to prevent slipping, up to a maximum value. F fr ≤ μ s F N Usually it is easier to keep an object sliding than it is to get it started.

Contact Force: frictional force Static friction  Object is stationary  Direction is parallel to contact surface  Is equal and opposite to the sum of the other forces parallel to the contact surface with a maximum value of f=µ s N  µ s =coefficient of static friction Kinetic friction  Object is moving  Direction is parallel to contact surface and opposite motion  Is equal to f=µ k N  µ k =coefficient of Kinetic friction

Applications of Newton’s Laws Involving Friction Note that, in general, μ s > μ k.

Applications of Newton’s Laws Involving Friction Example 5-1: Friction: static and kinetic Our 10.0-kg mystery box rests on a horizontal floor. The coefficient of static friction is 0.40 and the coefficient of kinetic friction is Determine the force of friction acting on the box if a horizontal external applied force is exerted on it of magnitude: (a)0, (b) 10 N, (c) 20 N, (d) 38 N, and (e) 40 N. (f) Determine the acceleration of the box after it moves.

Applications of Newton’s Laws Involving Friction Conceptual Example 5-2: A box against a wall. You can hold a box against a rough wall and prevent it from slipping down by pressing hard horizontally. How does the application of a horizontal force keep an object from moving vertically?