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A 25.O-kg box of textbooks rests on a loading ramp that makes an angle a with the

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A 25.O-kg box of textbooks rests on a loading ramp that makes an angle a with the horizontal. The coefficient of kinetic friction is 0.25, and the coefficient of static friction is 0.35.
(a) As the angle a is increased, find the minimum angle at which the box starts to slip.
(b) At this angle, find the acceleration once the box bas begun to move.
(c) At this angle, how fast will the box be moving after it bas slid 5.0 m along the loading ramp?
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IDENTIFY Apply F ma to the box When the box is ready to slip the static f...View the full answer


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Precalculus

Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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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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