Vector Resolution and Resultant Forces

The video tutorial by EZEngineering covers vector addition using the component method. It begins with an introduction to the method, followed by resolving the x and y components of a vector using trigonometric functions. The tutorial then demonstrates how to calculate the resultant vector when two forces are applied at different angles. The Pythagorean theorem is used to find the magnitude of the resultant vector, and the inverse tangent function is used to determine its direction. The video concludes with a summary of the steps to solve for the resultant vector when multiple vectors are involved.

What is the primary focus of the video tutorial?

• Scalar multiplication of vectors

• Vector addition using component method

• Vector subtraction using graphical method

• Vector division using algebraic method

Which trigonometric functions are used to resolve a vector into components?

• Sine and cosine

• Cosine and tangent

• Sine and tangent

• Tangent and cotangent

What is the x component of a 5 newton force at a 30-degree angle?

• 3.0 newton

• 5.0 newton

• 4.33 newton

• 2.5 newton

What is the y component of a 5 newton force at a 30-degree angle?

• 2.5 newton

• 4.33 newton

• 3.0 newton

• 5.0 newton

How do you find the resultant vector when two forces are applied?

• Add the x and y components

• Multiply the x and y components

• Divide the x and y components

• Subtract the x and y components

What is the x component of the second vector with a 7 newton force at a 60-degree angle?

• 3.5 newton

• -6.606 newton

• 6.606 newton

• -3.5 newton

What is the y component of the second vector with a 7 newton force at a 60-degree angle?

• -6.606 newton

• 3.5 newton

• -3.5 newton

• 6.606 newton

What is the summation of the x components of the two vectors?

• 8.56 newton

• 0.83 newton

• 4.33 newton

• 2.5 newton

What is the summation of the y components of the two vectors?

• 0.83 newton

• 8.56 newton

• 4.33 newton

• 2.5 newton

Which theorem is used to find the magnitude of the resultant vector?

• Binomial theorem

• Remainder theorem

• Pythagorean theorem

• Fundamental theorem of calculus