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Inclined Plane: Forces
built 263 days ago
Image:inclined plane.gif An Inclined plane or a ramp is one of the basic machines. It reduces the force necessary to move a load a certain distanc'e up by providing a path for the load to move at a low angle to the ground. This lessens the needed force but increases the distance involved, so that the amount of work stays the same.
The applet in this content resource demonstrates the motion of an object on an inclined plane with constant velocity. The corresponding forces can be shown on a spring scale or as vectors. The "Reset" button brings the block to its initial position (outside of the picture). Students can start and stop simulation as needed. Depending on the selected radio button the applet will show a spring scale from which students can read the necessary force, or the vectors of the weight force with its two components (parallel and normal to the plane), the normal force, the frictional force and the force which is necessary for the motion. The angle of inclination, the weight of the block and the coefficient of friction can be changed within certain limits.
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A block of mass M is held stationary by a rope of negligible mass. The block rests on a frictionless plane which is inclined at $30^{\circ}$ to the horizontal. \\ %\scalebox{1} % Change this value to rescale the drawing. \begin{center} \begin{pspicture}(0,-1.32)(4.0,1.32) \psline[linewidth=0.04cm](0.0,-1.3)(3.98,-1.3) \psline[linewidth=0.04cm](3.98,1.3)(3.98,-1.3) \psline[linewidth=0.04cm](0.0,-1.28)(3.96,1.28) %\usefont{T1}{ptm}{m}{n} \rput(1.064375,-1.05){30$^{\circ}$} \psline[linewidth=0.04cm](1.08,0.22)(1.76,0.66) %\usefont{T1}{ptm}{m}{n} \rput(1.5615625,0.13){M} \psline[linewidth=0.04cm](1.08,0.22)(1.42,-0.34) \psline[linewidth=0.04cm](1.74,0.66)(2.1,0.12) \psline[linewidth=0.04cm](2.7,1.3)(3.06,0.72) \psline[linewidth=0.04cm](2.86,1.0)(1.94,0.4) \end{pspicture} \end{center} \begin{enumerate} \item Draw a labelled force diagram which shows all the forces acting on the block. \item Resolve the force due to gravity into components that are parallel and perpendicular to the plane. \item Calculate the weight of the block when the force in the rope is 8N. \end{enumerate}
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A plane surface inclined at an angle with the line of action of the force that is to be exerted or overcome. In the free-body diagram shown here, three forces act on the object when no friction is present. The forces are its weight W, the force Fp parallel to the surface, and a force Fn normal to the surface. The summation of the forces acting in any direction on a body in static equilibrium equals zero; therefore, the summation of forces parallel to and forces normal to the surface are given by Eqs. (1) and (2). A force slightly greater
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It is easier to understand how a wedge works by looking at the inclined plane, which is nothing more than a wedge sliced in half. the inclined plane is held stationary while the "wedged material" is moved over it. The secret of the plane's mechanical advantage lies in its ability to split the force of gravity into two smaller forces; one perpendicular to and one parallel to the plane. It is only the parallel force which needs to be counteracted by pushing an object laying on the plane. If there is no friction on the plane, the pushing effort required will be 1/10th the weight if the length of the plane is 10 times its height. A similar relationship holds for any plane: the extra distance makes it possible to apply an effort smaller than the weight.
Literature review showed that there were no studies carried out regarding the anterior inclined plane application that overcomes many disadvantages of the conventional functional appliances. In this study, the results of treatment with this type of appliance are evaluated. The inclined plane is a removable intramaxillary appliance that forces the mandible to move in a forward position during the mandibular functional activity, particularly during the swallowing period. Protractor muscle involvement results in the intermittent activation of the retractor muscles that leads to favorable bone remodeling.
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