- Parent Category: 02 Newtonian Mechanics
- Category: 02 Dynamics
- Created: Thursday, 20 August 2015 15:00
- Last Updated: Thursday, 25 May 2017 11:14
- Published: Sunday, 12 June 2016 15:00
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- To explain and understand phenomena when there is no net force acting on a stationary object, or on an object that is moving in a straight line using modelling technique [diagrammatic models, mathematical models (dynamics equations), or any set of predictive and explanatory rules/principles].
- To predict changes in motion (if any) of an object based on the forces acting on it using modelling technique [diagrammatic models, mathematical models (dynamics equations), or any set of predictive and explanatory rules/principles].
- Dynamics - student worksheet (gwf - dl - wlk).docx
- Dynamics - student worksheet (gwf - dl).docx
- Dynamics - student worksheet (lyna).docx
Frictional force modelling with simulation activity by lookang lawrence wee
Imagine you put a playing card on top of a cup, then a coin on top of the playing card. Quickly pull the playing card away. What will happen to the coin? Explain your answer. Watch the video at http://tinyurl.com/ast2016-1 and check your prediction
Newtons 1st Law-coin and glass by Nick Alsleben
Engage for Newton's 1st Law
Imagine placing a strip of tape on the floor. Then you ask a friend to run towards you from about 30 meters as fast as possible and to stop exactly on the tape. What will happen to your friend when he or she tries to stop? Explain your answer
What you demonstrated in your two thought experiments, is Newton’s First Law. It states that
“an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.”
In case 1 (video above), the coin stayed in place, as the card was pulled away so fast, that friction did not act. In case 2 (engage for newton's 1st law), your friend had some forward motion, that could not be removed immediately.
Pre Modeling Activity
In this activity, you will be asked to draw forces in diagrams. Forces are usually indicated by arrows. The length of the arrow tells us how strong a force is: the longer the arrow, the larger the force.
In the example, we see two vertical forces acting on a Wooden Block resting on a slope. Its Fgrav= Weight is pulling it down and Fnorm = contact force on block by slope, an upward force. The Ffrict is the frictional force arising when there is a Fapp = Push to the right. The fact that the arrows are equally large, tells us that the two forces have the same magnitude.
Modeling Activity using this #html5 simulation
No Net Force (no Push Force )Model
Tom has just been promoted and is pushing a file cabinet down the hall to his new office. He begins by looking at the file cabinet and considers how to best go about his task. Select Fx = 0 to model the zero force model. Note the motion of the block is no change in position and velocity is zero all the time.
Activity 1: Using the model builder, select Fnet_x = 0 to simulate this effect
No Net Force ( 0<|Push| => Maximum Static Friction) Model
He then begins pushing on the file cabinet, which, at first, does not move at all. To simulate this case, select Push to be 3 N and observe what happens to the motion of the block. Note that the Push is cancel out by the Friction Force. Even at Push = 4.905 N is balanced out by Friction Force and the block does not move.
Activity 2: Using the model builder, select Fnet_x = 0 to simulate this effect
Just Enough Push force (Push> Maximum Static Friction) to move Model
He pushes it slightly harder than the maximum static friction, and it is sliding . Thus, applying a Push force just larger than 4.905 N, the object begins to slide. But at t >0, the Friction becomes Kinetic Friction.
Eventually the file cabinet begins to slide across the floor, slowly moving towards his new office with acceleration.
Activity 3: Using the model builder, select Fnet_x = 3.038 to simulate this effect. note that the static force is just a force to overcome initial when v = 0, after |v|>0, kinetic friction replaces as the frictional force.
Thus, the evidences and model building process above suggests the condition of acceleration is the presence of non zero net force, which is F = ma, Newton's Second Law.
Students may think that it is possible to experience is pushing the file cabinet, and it is moving to the right with constant velocity.
Added Moments Calculations
as suggested by workshop participant from JJC, moments are calculated and reflected in simulation!
|angle = 0, block does not rotate
|angle = 45, block does not rotate, normal contact force shifts to the extreme lower end of the block, just in position to not rotate clockwise.https://iwant2study.org/ospsgx/index.php/interactive-resources/physics/02-newtonian-mechanics/02-dynamics/42-friction|
|angle > 45, block rotates (but not simulated), normal contact force shifts beyond the extreme lower end of the block, in real life, block will rotate clockwise.https://iwant2study.org/ospsgx/index.php/interactive-resources/physics/02-newtonian-mechanics/02-dynamics/42-friction|
- http://weelookang.blogspot.sg/2016/02/frictional-block-free-body-diagram-with.html BlogPost by lookang with added moments calculations.
- http://weelookang.blogspot.com/2014/04/ejss-static-and-kinetic-friction-on.html BlogPost by lookang
- Sliding Down an Incline Plane Model by Francisco Esquembre http://www.compadre.org/osp/items/detail.cfm?ID=9973
- http://phet.colorado.edu/en/simulation/legacy/forces-and-motion Forces and Motion by PHET
- http://physics.bu.edu/~duffy/HTML5/static_friction.html Exploring static friction by Andrew Duffy