Resultant Forces and Trigonometric Functions

This tutorial covers the resolution of forces into horizontal and vertical components. It includes four problems: calculating components of a force inclined at an angle, determining a force from its horizontal component, finding a force using its vertical component, and calculating the resultant force and its angle of inclination. Each problem is solved using trigonometric ratios and Pythagoras' theorem, with step-by-step explanations and diagrammatic representations.

What is the main focus of this tutorial?

• Circular motion

• Resolution of forces

• Newton's laws of motion

• Frictional forces

If a force of 118 Newtons is inclined at 30° to the horizontal, what is the horizontal component?

• 110.0 Newtons

• 59.0 Newtons

• 102.2 Newtons

• 118.0 Newtons

For a force inclined at 30° to the horizontal, what trigonometric function is used to find the vertical component?

• Cosine

• Tangent

• Sine

• Secant

Given a horizontal component of 8 Newtons and an angle of 40°, what is the magnitude of the force?

• 10.4 Newtons

• 12.0 Newtons

• 15.0 Newtons

• 8.0 Newtons

Which trigonometric function is used to find the force when given the horizontal component and angle?

• Tangent

• Sine

• Cotangent

• Cosine

If the vertical component of a force is 25 Newtons at an angle of 60°, what is the force's magnitude?

• 35.0 Newtons

• 28.9 Newtons

• 25.0 Newtons

• 30.0 Newtons

What trigonometric function is used to find the force when given the vertical component and angle?

• Sine

• Cosine

• Cotangent

• Tangent

What is the magnitude of the resultant force if the vertical force is 21 Newtons and the horizontal force is 28 Newtons?

• 30 Newtons

• 21 Newtons

• 28 Newtons

• 35 Newtons

Which theorem is used to calculate the magnitude of the resultant force from its components?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Newton's Second Law

What is the angle of inclination of the resultant force to the horizontal if the vertical force is 21 Newtons and the horizontal force is 28 Newtons?

• 60.0°

• 36.9°

• 30.0°

• 45.0°