# 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.

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

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.

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.

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

F2D5 - Equilibrium 2
Use trigonometric functions to resolve forces into components and analyze situations in which objects are at static equilibrium.  Includes 8 problems.

F2D6 - Fnet = m•a with Angled Forces 1
Cobine 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.

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.

F2D8 - Fnet = m•a with Angled Forces 3
Cobine 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.

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.

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

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.

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.

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

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.