Forces in 2D

We have 14 ready-to-use problem sets on the topic of Vectors and Forces in Two-Dimensions, along with many review sets comprised of the problems in these sets (CP = Conceptual Physics, HP = Honors Physics).

These problem sets focus the use of vector principles and Newton's Laws to mathematically analyze situations in which forces are exerted on objects at angles to the traditional coordinate axes.

Problem Sets

Set F2D1 - Force Components
3 Problems - Medium Difficulty

Use sine and cosine functions to determine the horizontal and vertical components of a force vector.

Set F2D2 - Adding Force Vectors 1
5 Problems - Medium Difficulty

Add a collection of force vectors that are at angles to the coordinate axes in order to determine a net force and/or acceleration. 

Set F2D3 - Adding Force Vectors 2
5 Problems - Medium Difficulty

Add a collection of force vectors that are at angles to the coordinate axes in order to determine a net force and/or acceleration. 

Set F2D4 - Equilibrium 1
8 Problems - Medium Difficulty

Use trigonometric functions to resolve forces into components and analyze situations in which objects are at static equilibrium.  

Set F2D5 - Equilibrium 2
7 Problems - Medium Difficulty

Use trigonometric functions to resolve forces into components and analyze situations in which objects are at static equilibrium.

Set F2D6 - Fnet = m•a with Angled Forces 1
4 Problems - Medium Difficulty

Combine Newton's second law and an understanding of vector components to determine the net force to analyze objects moving across horizontal surfaces under the influence of an angled force. Problems are very scaffolded.

Set F2D7 - Fnet = m•a with Angled Forces 2
5 Problems - Medium Difficulty

Combine Newton's second law and an understanding of vector components to determine the net force to analyze objects moving across horizontal surfaces under the influence of an angled force. 

Set F2D8 - Fnet = m•a with Angled Forces 3
6 Problems - Hard Difficulty

Combine Newton's second law and an understanding of vector components to determine the net force to analyze objects moving across horizontal surfaces under the influence of an angled force. 

Set F2D9 - Inclined Planes: Components of Fgrav
4 Problems - Medium Difficulty

Use trigonometric functions to determine the components of the weight vector that are directed parallel and perpendicular to the inclined plane. 

Set F2D10 - Inclined Plane Problems 1
5 Problems - Medium Difficulty

Analyze a inclined plane situation with the help of a free-body diagram. 

Set F2D11 - Inclined Plane Problems 2
7 Problems - Hard Difficulty

Solve an inclined plane problem for situations in which the object is either held at rest or moves with a constant speed. 

Set F2D12 - Inclined Plane Problems 3
7 Problems - Hard Difficulty

Solve an inclined plane problem for situations in which the object is accelerating along the inclined plane. 

Set F2D13 - Inclined Plane Problems with Kinematics
3 Problems - Very Hard Difficulty

Analyze an inclined plane problem that requires the use of a kinematic equations. 

Set F2D14 - Two Body Problems in Two Dimensions
6 Problems - Very Hard Difficulty

Summary Sets

These activities are combinations of the above Problem Sets, used primarily for Lesson Plans activities and Review

Forces in 2-Dimensions 1: Equilibrium Analysis
6 Problems - Medium Difficulty

Use a free-body diagram, the equilibrium concept, and trigonometric functions to solve the following problems.

Forces in 2-Dimensions 2: Fnet=m•a at an Angle
4 Problems - Medium Difficulty

Use a trignometric function and Fnet = m•a to solve the following problems.

Forces in 2-Dimensions 3: Inclined Plane Analysis
4 Problems - Medium Difficulty

Use vector principles and Fnet=m*a to solve the followig problems.

Forces in 2-Dimensions 4: Inclined Plane Analysis
4 Problems - Hard Difficulty

Use vector principles and Fnet=m*a to solve the followig problems.

Forces in 2-Dimensions 5: Unit Review
10 Problems - Medium Difficulty