Mechanics: Vectors and Forces in Two-Dimensions

  We have 14 ready-to-use problem sets on the topic of Vectors and Forces in Two-Dimensions. 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.


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Problem Set F2D1 - Force Components
Use sine and cosine functions to determine the horizontal and vertical components of a force vector. Includes 3 problems.

 
 
Problem Set F2D2 - Adding Force Vectors 1
Add a collection of force vectors that are at angles to the coordinate axes in order to determine a net force and/or acceleration. Includes 5 problems.

 
 
Problem Set F2D3 - Adding Force Vectors 2
Add a collection of force vectors that are at angles to the coordinate axes in order to determine a net force and/or acceleration. Includes 5 problems.

 
 
Problem Set F2D4 - Equilibrium 1
Use trigonometric functions to resolve forces into components and analyze situations in which objects are at static equilibrium. Includes 8 problems.

 
 
Problem Set F2D5 - Equilibrium 2
Use trigonometric functions to resolve forces into components and analyze situations in which objects are at static equilibrium.  Includes 7 problems.

 
 
Problem Set F2D6 - Fnet = m•a with Angled Forces 1
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. Includes 4 problems.

 
 
Problem Set F2D7 - Fnet = m•a with Angled Forces 2
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. Includes 5 problems.

 
 
Problem Set F2D8 - Fnet = m•a with Angled Forces 3
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. Includes 6 problems.

 
 
Problem Set F2D9 - Inclined Planes: Parallel and Perpendicular Components of Fgrav
Use trigonometric functions to determine the components of the weight vector that are directed parallel and perpendicular to the inclined plane. Includes 4 problems.

 
 
Problem Set F2D10 - Inclined Plane Problems 1
Analyze an inclined plane situation with the help of a free-body diagram. Includes 5 problems.

 
 
Problem Set F2D11 - Inclined Plane Problems 2
Solve an inclined plane problem for situations in which the object is either held at rest or moves with a constant speed. Includes 6 problems.

 
 
Problem Set F2D12 - Inclined Plane Problems 3
Solve an inclined plane problem for situations in which the object is accelerating along the inclined plane. Includes 7 problems.

 
 
Problem Set F2D13 - Inclined Plane Problems with Kinematics
Analyze an inclined plane problem that requires the use of a kinematic equations. Includes 3 problems.

 
 
Problem Set F2D14 - Two Body Problems in Two Dimensions
Conduct a system and an individual body analysis to analyze complex situations involving two objects moving together. Includes 6 problems.

 
 


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