Name: sliding friction between moving surfaces
Uploaded: 2023-09-22T11:49:28.000Z
Duration: 1 min 26 s
Channel: JoVE

停車している車を動かそうとしているトラックを考えてみましょう。トラックが車を引っ張ろうとすると、接触面に静摩擦が発生します。
加えられた力が限界静摩擦力を超えると、界面での摩擦力は運動摩擦力と呼ばれるより小さな値に減少します。その後、車は速度を上げながら滑り始めます。
動摩擦力の大きさは垂直抗力に比例し、比例定数は動摩擦係数です。
インターフェースの継続的な破壊は、車の動きに抵抗する動摩擦を生み出す原因となります。
車の速度が上がると、最初は動摩擦がゆっくりと減少します。ただし、速度が速いほど、大幅な減少を示します。
動摩擦力と結果として生じる垂直抗力との間の角度が動摩擦の角度です。これは常に最大静摩擦角度以下です。
動摩擦係数は、サーフェスの状態と 2 つのサーフェス間の相対速度によって異なります。

<ol>
	<li>ヒベラー、RC(2016)。エンジニアリングメカニクス:静力学。第14版、ニュージャージー州:ピアソン。404ページ。</li>
	<li>メリアム、JL、クレイジ、LGおよびボルテン、JN(2016)。エンジニアリングメカニクス:静力学とダイナミクス。第8版、シンガポール:John Wiley & Sons。334-336ページ。</li>
</ol>

運動摩擦

トラックが停止している車を引こうとしている場合を考えてみましょう。トラックが車に力を加えると、2つの表面の接触点で静止摩擦が生じます。この摩擦力は、車の動きに抵抗をかけ、それを静止させます。しかし、トラックによる加わる力が静止摩擦力の限界を超えると、興味深い現象が起こります。インタフェースでの摩擦力は、一定値よりも低い値に減少し、運動摩擦力として知られるようになります。この時点で、車は滑り始め、速度が増加します。

運動摩擦、または動摩擦または滑り摩擦とも呼ばれる運動中の2つの接触物体の相対運動に反対する力です。接触面に平行かつ運動方向と逆方向に働きます。トラックと車の例では、運動摩擦は車の滑り始めに抵抗をかける役割を果たします。

運動摩擦力の大きさは、接触物体に作用する法線力に比例し、比例定数である運動摩擦係数によって表されます。これは次元を持たない量であり、接触面の特性と状態に依存します。

車が速度を増すにつれて滑り始め、トラックと車のインタフェースは連続的に破壊が起こります。このプロセスにより、運動摩擦が生成され、車の運動に反対します。興味深いことに、車の速度が増加するにつれて、運動摩擦の大きさは一定ではありません。最初は運動摩擦はゆっくりと減少しますが、高速度ではより大きく減少します。

運動摩擦力と垂直合力の間の角度を運動摩擦の角度といいます。この角度は、最大静止摩擦角よりも小さくなるか等しいです。特に、運動摩擦の角度は接触物体の材料と状態に依存します。

接触面の状態や相対速度など、さまざまな要素が運動摩擦係数に影響を与えます。表面が粗いほど、運動摩擦係数が高くなり、一方で滑らかな表面は低い値を示します。また、潤滑剤や汚染物は表面条件を変えることで運動摩擦係数を変化させることができます。

停車している車を引っ張ろうとするトラックを考えてみましょう。トラックが車に力を加えると、車間の接触点に静摩擦が発生します...

Education

JoVE Core

Mechanical Engineering

機械工学

Unit 1

ユニット1

Friction

摩擦

KEY TERMS AND CONCEPTS

主要用語と概念

Kinetic Friction

sliding friction between moving surfaces

Kinetic friction is the sliding friction that acts when two surfaces move against each other. It opposes relative motion and acts parallel to the contact surface, in the opposite direction of travel. In the truck and car example, the car first stays still because static friction holds it in place.

When the truck’s force becomes greater than the limiting static frictional force, the friction at the contact surface drops to a lower value. The car then begins to slide, and its speed increases. At that point, kinetic friction resists the motion of the sliding car.

The size of the kinetic frictional force depends on the normal force, which is the force pressing the surfaces together. It is proportional to that normal force through the coefficient of kinetic friction. This coefficient is a dimensionless value, and it depends on the materials and the condition of the surfaces in contact.

As the car keeps sliding, the interface between the truck and the car continues to break down. That breakdown helps produce kinetic friction. The force does not stay exactly constant as speed rises. It decreases slowly at first, then drops more at higher velocities.

The angle of kinetic friction is the angle between the kinetic friction force and the resultant normal force. It is always less than or equal to the maximum static friction angle. This angle also depends on the materials and surface conditions. Rougher surfaces usually have higher coefficients of kinetic friction, while smoother surfaces have lower values. Lubricants or contaminants can also change the coefficient by altering the surface conditions.

Sliding Friction Between Moving Surfaces

dry friction

Dry Friction in Crates and Everyday Motion

Dry friction appears when two solid surfaces touch and try to move past each other. Students can see it when they walk, slide a box across a table, or rub their hands together. Even though it is common, the forces behind it are not easy to see. A simple crate on a rough horizontal floor helps explain the idea. When an external force pushes the crate sideways, two main forces act on it. The normal force acts perpendicular to the surface and helps balance the crate’s weight, while the frictional...

static friction

Static Friction at the Point of Slip

Static friction is the force that keeps two surfaces from starting to slide past each other. It acts when there is a tendency for motion, but not yet actual slipping. This force helps explain everyday actions like walking on the ground and driving a car. A towing example shows how static friction changes as force is applied. A truck pulls a car with a rope, and the car stays still at first. The car is in static equilibrium, which means the forces on it are balanced. Gravity and the normal...

kinetic friction

Kinetic friction is the sliding friction that acts when two surfaces move against each other. It opposes relative motion and acts parallel to the contact surface, in the opposite direction of travel. In the truck and car example, the car first stays still because static friction holds it in place. When the truck’s force becomes greater than the limiting static frictional force, the friction at the contact surface drops to a lower value. The car then begins to slide, and its speed increases. At...

characteristics of dry friction

Static and Kinetic Dry Friction

Dry friction is the resistance between two solid surfaces that move against each other without lubrication or any fluid. A common example is a gardener pushing a wheelbarrow across the ground. The wheel and the ground create dry friction that slows the motion. Before the wheelbarrow starts to move, static friction acts at the contact surface. Static friction is the force that opposes motion before slipping begins, and it helps keep the wheelbarrow stable. It is present only when there is no...

types of friction problems

Dry Friction in Crate, Ladder, and Frame Problems

Dry friction problems often focus on crates, ladders, and frames that are close to slipping. Dry friction is the force that resists relative motion, or the tendency for motion, between two surfaces in contact. In many physics and engineering problems, this force helps keep an object still or defines the point where motion is about to begin. One common case has no clear impending motion. A force may be applied to a crate, but the crate stays at rest. The friction force between the floor and the...

friction: problem solving

Friction on a Banked Road

Friction on a banked road affects whether a bus stays steady while it moves at constant speed. In this problem, a bus with a mass of three megagrams travels on a sloped road. The coefficient of static friction between the tires and the road is 0.5. The goal is to find the maximum bank angle where the bus will not slip or tip. To solve the motion part, the forces on the bus must be shown first. These include gravity, the normal force, and friction. The normal force is the push from the road,...

wedges

Wedges and Self-Locking Stability

A wedge is a simple machine that can lift, support, and split heavy objects. It can also change the height of structural or mechanical parts. Because it amplifies force, a wedge makes it easier to move or hold large loads with less effort. One example is lifting a heavy slab. In that case, the wedge turns the applied force into a much larger force that acts almost perpendicular to the original push. That force change helps raise the load without requiring a large input force. To analyze wedge...

frictional forces on screws

Square-Thread Screw Mechanics and Friction

Square-threaded screws use a helical thread to turn force into lifting motion. They are common fasteners, but they are also useful for transmitting power and motion in machines. A jack with a square-threaded screw lifts heavy loads when force is applied at the handle and the screw turns. A screw can be viewed as a cylindrical shaft with an inclined square ridge wrapped around it. The distance between two neighboring threads is called the pitch. The lead is the distance the screw advances in...

upward impending motion

Screw Jack Force and Friction Analysis

A square-threaded screw jack lifts heavy loads by turning handle force into a twisting moment. Its upward motion depends on overcoming static friction between the screw threads and the jack. To study this motion, the thread can be treated as if it were a block on the groove of the jack after the thread is completely unraveled. A free-body diagram helps show the forces acting on this simplified system. The force at the handle creates a horizontal force that pushes the movable thread up the...

self-locking screw

Screw Jack Self-Locking Behavior

A square-threaded screw jack can hold a heavy load because of its self-locking behavior. This feature makes the device more reliable when it is used to lift large weights or apply a strong force. If the screw keeps its position after the turning moment is removed, the jack is self-locking. Self-locking happens because friction changes the way the forces act on the thread. The friction force reverses direction, and the reaction force moves to the other side of the thread’s normal. In this case,...

screw: problem solving

Screw Torque and Self-Locking

Screw torque and self-locking are analyzed by looking at a threaded screw shaft and a plate gear. The shaft has a mean radius and a lead. The plate gear also has a mean radius. The coefficient of static friction between the screw and the gear is part of the setup. The first step is to find the static friction angle, φ. This angle is defined by the coefficient of static friction. Next, the lead angle is calculated from the lead and the mean radius of the shaft. It gives the screw geometry...

frictional forces on flat belts

Flat Belt Tension and Friction

Flat belt tension and friction control how power moves from one pulley to another. Flat belts are used in many industrial systems to transmit power between pulleys. As the belt wraps around the pulleys, the tension changes because of friction between the belt and the pulley surface. When a pulley turns counterclockwise, the belt side moving away from the pulley has the higher tension, called T2. The side moving toward the pulley has the lower tension, called T1. To estimate these tensions, the...

flat belts: problem solving

Flat Belt Forces and Pulley Moment

Flat belts transmit power from one pulley to another, and the forces on the belt help determine the moment on a pulley. In this example, a belt wraps around pulleys A and B, with radii of 30 cm and 10 cm. The belt meets the pulleys at a 20 degree angle from the horizontal, which sets up the force balance in the system. As pulley B rotates clockwise, it drives pulley A. That motion creates tension T2 on one side of the belt and tension T1 on the other side. The belt-to-surface contact angle, β,...

pivot bearings

Axial Load Support in Pivot Bearings

Pivot bearings support axial loads on a rotating shaft. A bearing helps two parts move relative to each other while reducing friction and wear. In this design, the pivot is placed at the end of the shaft to carry the axial thrust. The pivot surface can be flat, conical, or truncated, depending on the application. In a flat pivot bearing, the axial load is spread over the bearing area. The pressure is uniform and can be found by dividing the load by the area. To study the forces more closely,...

collar bearings

Friction Torque in Collar Bearings

Collar bearings support axial loads on rotating shafts, and their friction helps determine the torque needed to start motion. They are used in many machines and may have a single collar or multiple collars, depending on the application and load needs. For a single collar bearing under an axial load, the contact area is the ring-shaped region between the external radius and the internal radius of the collar. If the bearing is assumed to support the load evenly, the uniform normal pressure is...

journal bearings

Friction Moment in Journal Bearings

Journal bearings support rotating shafts and axles while helping keep them stable. They are used in machines such as engines, turbines, and pumps. Their job is to reduce friction, wear, and vibration. A journal bearing works by keeping a thin film of lubricant between the bearing surface and the rotating shaft. This film limits direct contact and lowers frictional force. The video uses a rope winch with dry or only partly lubricated journal bearings to show the idea. As the spool turns...

bearings: problem solving

Double-Collar Bearing Torque Calculations

Double-collar bearing torque calculations show how friction and axial force affect bearing performance. Engineers use these calculations to test whether the bearing can handle the forces and moments it experiences during operation. This helps them choose and design bearings for specific applications and setups. For a double-collar bearing with set dimensions and an axial force applied, the maximum frictional moment can be found with a standard expression. The equation is rearranged, and the...

rolling resistance

Tire Deformation and Rolling Resistance

Tire deformation and rolling resistance explain why a rolling wheel still needs a driving force. When a solid cylinder or tire rolls on a rigid surface, the normal force is perpendicular to the surface at the contact point. But real materials are not perfectly rigid, so the surface pushes back with a spread of normal pressures instead of one single force. A hard cylinder on a softer surface compresses the material under it. As the cylinder moves forward, the material in front of the contact...

rolling resistance: problem solving

Lawn Roller Force Calculation

Rolling resistance is the force that makes a rolling object harder to move across a surface. It is also called rolling friction. It comes from deformation in the object and the surface that touch each other. Internal friction, hysteresis, and other energy losses in the materials also play a role. Because of this force, extra energy is needed to keep a wheel, tire, or ball moving. The video applies this idea to a lawn roller. The roller has a mass of 100 kg, a radius of 25 cm, and a coefficient...

key terms and concepts

Learn how kinetic friction acts during sliding motion, why it changes as surfaces move, and how surface type, normal force, and lubrication affect it.

Sliding Friction Between Moving Surfaces | JoVE K12

JoVE Core 機械工学は、平衡、力、トラス解析、構造力学などの重要なトピックをカバーする簡潔でわかりやすいアニメーション ビデオを提供します。実際のアプリケーションを探索し、科学者主導の実験を通じてこれらのコンセプトが実際に動作しているのを目撃してください。

mechanical engineering

Sliding Friction Between Moving Surfaces

Description

Transcript