A crutch is pressed against the sidewalk with a force F c along its own direction as
Question:
A crutch is pressed against the sidewalk with a force Fc along its own direction as in Figure. This force is balanced by the normal force Fn and a frictional force fs.
(a) Show that when the force of friction is at its maximum value, the coefficient of friction is related to the angle θ by μs = tan θ.
(b) Explain how this result applies to the forces on your foot when you are not using a crutch.
(c) Why is it advantageous to take short steps when walking on ice?
Step by Step Answer:
a f smax s F n F n F c cos For equilibrium f s F c sin If ...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
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