1 / 16

Mastering Advanced Force Problem Solving Techniques

Learn how to solve complex force problems step by step with clear models, equations, and implementation strategies. Practice with various scenarios and understand equilibrium and constant force models.

ferdinand-booth
Télécharger la présentation

Mastering Advanced Force Problem Solving Techniques

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Advanced Work With Forces I Mark Lesmeister Dawson High School

  2. Solving Force Problems • Step1: Write Givens, Unknowns and Model • Draw a free body diagram. • Choose a coordinate system so that the acceleration is along an axis. • Break any forces not on axes into components. • Identify any other quantities in the problem. • Identify whether the equilibrium model or constant force model applies in each direction (x and y) separately. • Equilibrium- object not moving or moving with constant velocity. • Constant force- object accelerating.

  3. Solving Force Problems • Step 2- Identify the Method you will use for finding the unknowns. • Using your models, write down appropriate equations. • Constant force • Equilibrium

  4. Solving Force Problems • Step 3: Implement your plan. • Solve all equations before substituting values. • Step 4: Evaluate the Solution. • The answer should make sense physically. Remember G U M M I E S

  5. Example: Forces in 2 Directions • A 3 kg ball is dropped from the roof of a building 176.4 m high. While the ball is falling, a horizontal wind exerts a force of 12 N on the ball. • How long does it take to hit the ground? • How far from the building does the ball hit the ground? • What is its speed when it hits? 176.4 m

  6. Step 1: Identify Givens, Unknowns and Models. m = 3.00 kg ∆y= -176.4 m FW = 12.0 N vi = 0 Δt = ? ∆x = ? vf= ? There is a constant force in both the x and y directions. FW mg

  7. Step 2: Method In the horizontal direction: In the vertical direction: FW mg

  8. Step 3: Implement the plan.

  9. Step 3: Implement the plan.

  10. Steps 2 and 3: Final Velocity Vfx Vf Vfy

  11. Forces on an Incline • On an inclined plane, we can use the parallel and perpendicular directions for our coordinate system. Fn Fapp q mg cos(q) mg mg sin(q) q

  12. Example: Forces on an Incline • A 40 kg wagon is towed up a hill at an 18.5o incline. The tow rope exerts a force of 140 N. The wagon starts from rest. • How fast is the wagon going after 30 m? Fapp=140N q=18.5o

  13. Step 1: Write down givens, unknowns and model • m = 40.0 kg • Fapp = 140 N • q = 18.5o • Dx =30 m • vi = 0 • vf = ? • This is constant force in the x direction and equilibrium in y. Fn Fapp q mg cos(q) mg mg sin(q)

  14. Step 2: Identify the method. Fn Fapp q mg cos(q) mg mg sin(q)

  15. Step 3: Implement the plan. Fn Fapp q mg cos(q) mg mg sin(q)

  16. Fn Fapp q mg cos(q) mg mg sin(q) Step 4: This is about 11 mi/hr.

More Related