Apps-On-Physics/C2/Inclined-Plane/English-timed

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Time Narration
00:01 Welcome to the Spoken Tutorial on Inclined Plane.
00:05 In this tutorial we will learn to,
00:08 Simulate the motion of a load on an inclined plane.
00:12 Resolve the vector components using basic trigonometry.
00:17 Calculate the vector components.
00:20 Here I am using,

Ubuntu Linux OS version 16.04 and Firefox Web Browser version 62.0.3

00:32 To follow this tutorial, learner should be familiar with Apps on Physics.
00:39 For the pre-requisites tutorials please visit this site.
00:44 Let us define an inclined plane.
00:47 An inclined plane, is a flat supporting surface tilted at an angle.
00:52 It has one end higher than the other.
00:56 It is used for raising or lowering a load.
01:00 Use of an inclined plane provides greater mechanical advantage.
01:05 Examples of an inclined plane are ramps, slides, stairs, water slides and others.
01:14 Use the given link to download the Apps.
01:18 I have already downloaded Apps on Physics to my Downloads folder.
01:23 In this tutorial we will use,

Inclined Plane App.

01:29 After downloading, html5phen folder appears in the Downloads folder.
01:35 Double click on html5phen folder.
01:39 Now double-click on the phen folder.
01:42 In this folder, we see Apps in java script and htm format.
01:48 We will use the Apps with htm file format.
01:52 To open Inclined Plane press Ctrl, F keys simultaneously.
01:58 In the search bar type inclined plane.
02:02 Right click on inclinedplane_en.htm file.
02:07 Select the option Open With Firefox web Browser.
02:12 Inclined Plane App opens in the browser.
02:16 This is the interface of Inclined plane.
02:20 The green panel shows different parameters that we can change.
02:25 Reset button on the top of the green panel helps to edit values.
02:30 The yellow Start button is a toggle button for Start/Pause and Resume.
02:37 Slow motion check-box is used to observe the motion steadily.
02:42 Then we have Springscale and Force vectors radio buttons.

By default Springscale is selected.

02:52 Click on Start button.
02:55 Notice that a load is pulled by the springscale.
02:59 Click on the Pause button.
03:02 Now select Force vectors radio button.
03:06 Observe that there are five arrows pointing in different directions.
03:11 We can change the values of: Angle of inclination, Weight and Coefficient of friction in the white colour boxes.
03:20 Note that these values can be changed within certain limits.
03:25 Click on Reset button.
03:28 Here we can change the Angle of inclination from 0 degrees to 90 degrees.
03:35 Let’s change the Angle of inclination to 45 degrees and press Enter.
03:41 Now click on Start button.
03:44 When the load reaches the middle of the inclined plane click on Pause button.
03:50 Notice that the pink vector shows the force of gravity(mg).
03:54 It tries to pull the load towards the center of the Earth.
03:59 The blue and red vectors are the resolution vectors of gravity.
04:04 The red vector is perpendicular to the surface of the inclined plane.
04:09 The blue vector is parallel to the surface of the inclined plane.
04:15 If theta(θ) is 45 degrees, then this angle is 90 degrees.

As it is perpendicular to the surface of the earth.

04:23 From the triangle’s geometry this angle would be (90-θ).
04:29 To calculate the magnitude of the forces we need to know theta value.
04:35 Now these two lines are parallel and if we assume that this line is a transversal line.

Then angle (90-θ) is equal this angle through interior angle property.

04:48 Recall that red vector is perpendicular to the inclined plane.
04:53 Here the angle would be 90 degrees.
04:57 Let us assume this angle as x.
05:01 So 90 minus theta plus 90 plus x equals to 180

Therefore, x equals to theta

05:12 Using basic trigonometry we can resolve the parallel and perpendicular components.

Consider this right angle triangle.

05:21 Here the blue parallel component is equal to the black line.
05:26 Parallel force is Sin theta.
05:29 Sin theta equals to F(parallel) upon mg.
05:34 Let’s rearrange the equation.

F(parallel) equals to mg sin theta.

05:41 Similarly we can resolve the perpendicular component.
05:46 F(perpendicular) equals to mg cos theta.
05:50 Let us solve this numerical and verify the answers with the ones shown in the App.
05:57 Click on the Reset button to reset the App.
06:01 In the App change the values according to the numerical.
06:06 First let us convert 1.02 Kg into Newton and enter the value in the Weight box.
06:14 Next change the Angle of inclination to 30 degrees and press Enter.
06:21 Now click on Start button.
06:24 Again click on Pause button when the load reaches the center of the inclined plane.
06:30 Observe that the App has calculated the parameters.
06:36 Next we will calculate using the formulae.
06:40 Calculated value of the parallel component is 4.99 Newton and that of normal component is 8.65 Newton.
06:51 And the necessary force is equal to the parallel force but in the opposite direction.
06:59 Let us compare the answers with the ones shown in the App.
07:04 Observe that the calculated values are comparable to the measured values.
07:10 Let's observe the effect of friction.
07:13 Click on the Reset button.
07:16 In the Coefficient of friction box type 0.5 and press Enter.
07:23 Click on the Start button.
07:26 When the load reaches the middle of the inclined plane click on Pause button.
07:31 Notice that a black vector is added to the blue vector.

This vector represents Force of friction.

07:40 In the green panel Force of friction is measured as 4.3 Newton.
07:46 Notice that the Necessary force required to pull the load has changed to 9.3 Newton.
07:53 This is because the total necessary force is, sum of parallel and frictional forces.
08:00 As an assignment solve this numerical and compare your answer with the ones shown in the App.
08:08 Let us summarise
08:10 Using this App we have Simulated the motion of a load on an inclined plane.
08:17 Resolve the vector components using basic trigonometry.
08:22 Calculated the vector components.
08:26 These Apps are created by Walter-fendt and his team.
08:31 The video at the following link summarizes the Spoken Tutorial project.

Please download and watch it.

08:39 The Spoken Tutorial Projectteam, conducts workshops using spoken tutorials

and gives certificates. For more details, please write to us.

08:48 Please post your time queries on this forum
08:53 Spoken Tutorial Project is funded by MHRD, Government of India.
08:59 This is Himanshi Karwanje from IIT-Bombay.

Thank you for joining.

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