The inputs m, Fw, g, and μ need no introduction. When entering the mass or weight, you only need to enter one of them and the other will be |
calculated. For angle θ, the permissable values are 10°, 20°, 30°, 40°, or 50°. The default inputs are displayed by pressing Play with no inputs. |
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The output values are displayed in the animation area when pressing Pause. You may press Pause a maximum of three times to display three |
sets of velocity and time values. After three times, you may still pause the animation but the output values will not be updated.. |
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The values must be entered before pressing Play. Any values left blank will default to the same values each time. |
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Because of the comprehensive nature of inclined planes, it is recommended that for an introduction or a review, click the PowerPoint link at the |
bottom of the page. |
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1) A block with a weight of 60.0 N rests on an inclined plane which makes an angle of 40° with the horizontal. |
(a) Sketch a force diagram of the block and correctly label each force. |
(b) Determine the minimum value for the coefficient of friction required for the block to remain stationary. |
(c) If the frictional force is found to be 23 N while the block is sliding, determine the coefficient of friction. |
(d) Determine the total force needed to pull the block up the plane. |
(e) What force(s) determine the acceleration of the block down the plane? Justify your answer. |
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2) A 105 g mass slides down an inclined plane making an angle of 20° with the horizontal and μ = 0.10. |
(a) Using the simulator, determine the acceleration of the block and its velocity at the bottom of the plane. |
(b) Use the simulator to determine how the acceleration changes as you vary the mass of the block. Justify your answer quantitatively. |
(c) Assume μ = 0 while all other factors remain the same. How do your answers for (a) and (b) change and justify your answers. |
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3) A block with a mass of 22.0 kg slides down an inclined plane with an acceleration of 2.63 m/s2. If the angle of incline is 30° determine the: |
(a) frictional force |
(b) coefficient of friction |
(c) How can you use the simulator to verify your answer? |