obtain the expression for the maximum angle of an inclined plane just before a wooden box placed on it begins to slide the coefficient of static friction between the plane and the box is new Us
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An inclined plane, also known as a ramp, is a flat supporting surface tilted at an angle, with one end higher than the other, used as an aid for raising or lowering a load.[1][2][3] The inclined plane is one of the six classical simple machines defined by Renaissance scientists. Inclined planes are widely used to move heavy loads over vertical obstacles; examples vary from a ramp used to load goods into a truck, to a person walking up a pedestrian ramp, to an automobile or railroad train climbing a grade.[3]
Moving an object up an inclined plane requires less force than lifting it straight up, at a cost of an increase in the distance moved.[4] The mechanical advantage of an inclined plane, the factor by which the force is reduced, is equal to the ratio of the length of the sloped surface to the height it spans. Due to conservation of energy, the same amount of mechanical energy (work) is required to lift a given object by a given vertical distance, disregarding losses from friction, but the inclined plane allows the same work to be done with a smaller force exerted over a greater distance.[5][6]
The angle of friction,[7] also sometimes called the angle of repose,[8] is the maximum angle at which a load can rest motionless on an inclined plane due to friction, without sliding down. This angle is equal to the arctangent of the coefficient of static friction μs between the surfaces.[8]
Two other simple machines are often considered to be derived from the inclined plane.[9] The wedge can be considered a moving inclined plane or two inclined planes connected at the base.[5] The screw consists of a narrow inclined plane wrapped around a cylinder.[5]
The term may also refer to a specific implementation; a straight ramp cut into a steep hillside for transporting goods up and down the hill. It may include cars on rails or pulled up by a cable system; a funicular or cable railway, such as the Johnstown Inclined Plane.
Take the limiting case, the angle reached just before the block begins to slide, and draw the free-body diagram. because this is the angle at which the force of static friction equals its maximum value. Use a coordinate system with +x down the slope and +y perpendicular to the slope.
If the externally applied force (F) is just equal to the force of static friction, Fs, then the object is ... In order to find the coefficient of kinetic friction between two surfaces, the following two ... Place the wooden box on the incline and add a mass of 100.g to it. ... Clamp the plane in this position and read the value of the angle