Resolving Forces in Trigonometry

The video tutorial explains how to resolve a force into its horizontal and vertical components using a lawn mower example. It describes the setup of the problem, including the angle and force applied. The tutorial covers two methods for resolving forces: using a triangle and a parallelogram. It then demonstrates how to calculate the components using trigonometric ratios, specifically cosine and sine, to find the horizontal and vertical components. Finally, it discusses the physical consequences of these components, such as how the horizontal component moves the mower forward and the vertical component adds to its weight.

What is the initial force applied to the lawn mower in the example?

• 60 newtons

• 90 newtons

• 120 newtons

• 150 newtons

What angle does the handle of the lawn mower make with the ground?

• 45 degrees

• 60 degrees

• 30 degrees

• 15 degrees

In resolving forces, what does the x-component represent?

• Rotational force

• Horizontal force

• Diagonal force

• Vertical force

Which trigonometric function is used to find the horizontal component of the force?

• Sine

• Tangent

• Cotangent

• Cosine

What is the magnitude of the horizontal component of the force?

• 78 newtons

• 60 newtons

• 90 newtons

• 45 newtons

Which trigonometric function is used to find the vertical component of the force?

• Sine

• Tangent

• Cosine

• Secant

What is the magnitude of the vertical component of the force?

• 75 newtons

• 30 newtons

• 60 newtons

• 45 newtons

How does the horizontal component of the force affect the lawn mower?

• Lifts the mower

• Tilts the mower

• Pushes the mower forward

• Slows down the mower

What effect does the vertical component of the force have on the lawn mower?

• Reduces the weight

• Increases the weight

• Has no effect on weight

• Balances the weight

What is the direction of the vertical component of the force?

• Diagonally

• Downwards

• Upwards

• Sideways