The coefficient of friction is the tangent of the angle theta where the angle is measured from horizontal when the mass first starts to slip
Coefficient of kinetic friction can be calculated by using the formula Coefficient of kinetic friction = Kinetic friction /Force
This coefficient of static friction is needed to find the frictional force between a body and a surface on which body has to move. If u (mu) is the coefficient of friction then uR gives the frictional force between moving body and surface. There is no unit for coefficient of friction. Here R is reaction which equals to the weight of the body
You can't. However, you can find the COEFFICIENT of friction, which in many practical problems is independent of the mass: the FORCE of friction will depend on the mass, but the RATIO between the force of friction and the normal force - i.e., the coefficient of friction - will not. For your calculations, use a variable, such as "m", for mass; for the coefficient of friction, this variable will cancel (disappear).
Use the formula: FsMAX=μsFN if you want to do it experimentally, get the two different surfaces, and angle one until the object on top starts moving. take the tangent of the angle that starts the objects sliding past one another, and that is your coefficient of static friction.
There is no minimum value for the coefficient of friction. And the linear acceleration will depend on its unknown value.
You need to know both material involved in the friction to find the coefficient
T1/T2=e^(mu*theta)where T1/2 are the tensions in the circlemu is the coefficient of frictiontheta is the angle of the circle in contact with the rope.
first, calculate the normal force on the object. second, if the object is in motion find the coefficient of friction for the surface. third, input the data (frictional force = coefficient of friction * normal force).
Get a block of known mass, a protractor and a board; the materials should be chosen as those for which you want to find the friction coefficients. Place the block on the board and gradually increase the angle of the board while keeping track of the angle the board makes with horizontal. The angle at which the block slips is crucial. The friction force opposes the movement of the block based on the normal force applied on the block by the board. As you increase the angle, the normal force decreases. F = uN where F is the friction force, N is the normal force and u is the coefficient of friction, in this case, static. Using the angle at which the block slips, calculate N; N = m sin(@) where m is the mass of the block, and @ is the measured angle. Now F must be equal to the force of gravity pulling on the block parallel to the board, otherwise the block would slip (and it does precisely at the measured angle) so; F = m cos(@) where m is the mass of the block and @ is the measured angle. Now that F and N are known, use the aforementioned relationship to calculate u. This value should be non-negative and has no units. As for dynamic friction; let the block slide from the top of the board when it is at a high angle and gradually decrease the angle until the block comes to a stop on the board due to friction. This should be done in trials of larger degrees until a working angle is found, then more precise trials can commence. When such an angle is found that any higher angle allows the block to keep going all the way to the bottom, the same calculations as above must be repeated to find the coefficient of dynamic friction.
Experiments with Friction: Measuring Static Sliding Coefficient of Friction with a Rampby Ron Kurtus (revised 3 November 2005)The goal of this experiment is to measure the static sliding coefficient of friction between two surfaces by using a ramp and measuring its inclination.The idea is that if you put a solid object on a ramp and start to tilt the ramp upward, there is a point where the object will start to slide. That is the angle where the force of gravity is strong enough to overcome the static friction.By simply knowing the angle or the inclination, you can then calculate the static sliding coefficient of friction between the two materials. You can cover the ramp with various materials to determine different coefficients.MaterialsA flat board to be used as a rampOptional covering material for the rmapObjects to slide down the rampStepsPlace the ramp on the ground and put the object on the rampSlowly raise one end of the ramp until the object starts to slideMeasure the height (A) and length (B) of the inclination, as in the drawing belowCalculate the coefficient of friction between the surfaces: fr = A / BDifferent combinationsYou can use different combinations of materials to measure their coefficients of friction. For example, you can use a:Wooden board and a brick to calculate the kinetic coefficient of friction between wood and brick materialSheet of iron on the board and an iron block to slide down the rampSheet of iron with film of oil on it and an iron block to slide down the rampCovering of wet linoleum and a shoe to see how slippery a floor can beThere are many combinations that you can measure.ExplanationAlthough the equation to find the static coefficent of friction is very simple, the principles behind it require some knowledge of Mathematics.Physical science backgroundThe coefficient of friction between two surfaces is a number that determines how much force is required to move an object that is held back by friction when the two sufaces are pressed together.The friction equation is Fr = fr x N, where Fr is the resistive force of friction or the amount of force required to overcome friction, fr is the coefficient of friction between the two surfaces, and N is the normal or perpendicular force pushing the two surfaces together. If the force pushing to surfaces together is gravity, then N equals the weight of the upper object.Static and kinetic frictionFor a sliding object, the static coefficient of friction results in the force required to start the object moving. Once the object is sliding at a steady rate, the kinetic coefficient of friction results in the force required to keep the object moving at that velocity.Using rampA clever way to determine the static coefficient of friction is to start an object sliding down a ramp. The component of gravitational force that causes the object to just start moving is equal to the resistive force to keep the object stationary. That is the static force of friction.Note that you must record what the two surfaces are. The coefficient of friction is always for two surfaces. For example, you could find the friction between wood and steel, wood on wood, rubber on wet pavement, and so on.Knowing the force required to overcome the friction and the force pushing the object onto the ramp, will allow you to determine the static coefficient of friction.MathematicsThe coefficient of friction is calculated using trigonometry. Consider the triangle in the drawing below.C is the length of your ramp, which is inclined at an angle a and is at a height of A. The length of the sides of the triangle are A, B, and C. The relationship between the sides are the trigonometric functions sine of angle a, which is abbreviated sin(a), cosine of a or cos(a) and tangent of a or tan(a).Since sin(a) = A / C and cos(a) = B / C, then sin(a) / cos(a) = tan(a).Components of gravityWhen an object that weighs W is on a ramp, the force of gravity can be divided into components in perpendicular directions.Normal force componentThe force pushing the object against the surface of the ramp is reduced because of the incline. The normal force N = W x cos(a), as show in the picture below. In the case where there is no incline, a = 0 degrees and N = W.Component down the rampThe component of gravity is pulling the object along the ramp is F = W x sin(a).Object starts to moveNow when the angle a become steep enough, the object starts to move and F = Fr, which is the force of static friction required to start the object moving.But you know that Fr = fr x N.And for the object on the ramp, N = W x cos(a).Thus W x sin(a) = fr x W x cos(a).Using a little Algebra, we get fr = sin(a) / cos(a) or fr = tan(a).Finally, since tan(a) = A / B, we have fr = A / B.So, all you need to know is the angle the object starts to slide or the lengths of its sides, and you can easily determine the coefficient of friction between the two surfaces.Experiments with Friction:Measuring the Coefficient of Friction Using a Scale by Ron Kurtus (26 January 2001)Friction is a resistive force caused when two objects are in contact with each other. There are some simple experiments to determine the force of friction and the coefficient of friction.The coefficient of friction is a number that determines how much force is required to move an object that is held back by friction.BackgroundThe equation for this is Fr = fr x N, where Fr is the resistive force of friction or the amount of force required to overcome friction, fr is the coefficient of friction between the two surfaces, and N is the normal or perpendicular force pushing the two surfaces together. If the force pushing to surfaces together is gravity, then N equals the weight of the upper object.Static and kineticFor a sliding object, the static coefficient of friction results in the force required to start the object moving. Once the object is sliding at a steady rate, the kinetic coefficient of friction results in the force required to keep the object moving at that velocity.Two surfacesNote that you must record what the two surfaces are. The coefficient of friction is always for two surfaces. For example, you could find the friction between wood and steel, wood on wood, rubber on wet pavement, and so on.MethodOne way to determine the coefficient of friction between two surfaces is to pull on an object, using a spring scale that is used to measure weight. If you lay an object on another surface and then pull it, you can determine the amount of force required to move the object.The coefficient is then fr = Fr / W, where W is the weight of the upper object.First you pull slowly until the object just starts to move. Record the force and calculate the static coefficient of friction.Then drag the object along at a steady velocity. Record the force on the scale and calculate the kinetic coefficient of friction.
It depends how they are in contact. If one is simply resting on top of the other you need to take into account, the friction coefficient which can be calculated from the Reynolds number of the particular material; and the mass of the object as the heaver it is the more friction will come into play.
In physics a number known as the 'coefficient of friction' is used to calculate the frictional force between any two surfaces. Ff=µFn, Meaning that the frictional force (Ff) is equal to the coefficient of friction (µ) multiplied by the normal force (Fn). If one wishes to calculate the coefficient of friction for two objects, you can pull an object of whatever material you wish along a floor of whatever material you wish. As long as the object remains at a constant speed, the force which you use to pull the object (which can be measured by a force meter) is equal to the frictional force. Once you find the normal force (to find the normal multiply the mass of the object by the acceleration due to gravity on your part of the world, Fn= mg) you simply divide the frictional force by the normal force and you have the coefficient of friction. or just ask your teacher lol
To find kinetic friction, you can use the conservation of energy. The kinetic energy plus the potential energy at some initial point in time will equal the sum of kinetic energy, potential energy, and thermal energy lost due to friction at a later point in time (in a closed system). The difference in mechanical energy between the two points in time will be the thermal energy. You can use this to find friction by the following relationship: Thermal energy = (coefficient of kinetic energy)(normal force)(distance). The coefficient of kinetic friction depends on the surface. There is also a coefficient of static friction for a particular surface. This only applies when static friction is at its maximum, that is, when any additional force applied would send the body into motion. Static friction can be calculated if you know the other forces acting on the body. Since force = mass x acceleration, the frictional force will be precisely the amount needed to keep the acceleration at zero.
The equation for friction is F=uN. F (friction), u (coefficient of friction), and N (normal). So you first need to solve for the normal by using Newton's second law. Also solve for the x component of the gravity force. Since it is static friction, you know it should be at rest, so that x component force should be the same as the force of friction. Knowing that and the normal, plug it into the equation and solve for u.
When you rub two things together, the friction between the two things will produce heat.
by experiment. attach a pulley to the edge of a table. attach a known weight to a string through the pulley to another known weight on the table-top. put the particular surface who's coefficient of friction you wish to measure between the table top and the second known weight set on the table top. allow the first know weight to fall. measure its rate of descent. compare its rate of descent with that of the free fall acceleration of gravity for your particular latitude. you now have all the data you need to figure out the coefficient of kinetic friction. can you do that yourself or do you need to know more?
variables used here:f = frictionN = normal forceu = coefficient of frictionBecause the box is sliding at a constant rate, we know that the forces are balanced, so the force due to friction must be 6.0 N. We can use the equation f = uN to find the coefficient of friction. We know friction (6.0 N) and the normal forces (18 N), so plugging them in to the equation gives us 6 = u18. Solving for u:u = 0.33
explement of the angle or conjugate of an angle
The answer depends on the what the leading coefficient is of!
Any angle between 0 and 180 degrees or 0 and pi radians.
Im doing a CO2 dragster thingy at skool and i cant find the answer. i couldn't actually care less but i have to find out :-)
The angle of depression of a point is the angle between the line joining that point and the point of observation and the horizontal from the point of observation.
It's 60 degrees.
i have no idea son