A force of 50 N is applied at an angle of 30° to the horizontal. What is the hor

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Question: A force of 50 N is applied at an angle of 30° to the horizontal. What is the horizontal component of the force? (2020)

Options:

Correct Answer: 43.3 N

Exam Year: 2020

Solution:

Horizontal component = Fcos(θ) = 50 N × cos(30°) = 50 N × (√3/2) ≈ 43.3 N.

A force of 50 N is applied at an angle of 30° to the horizontal. What is the horizontal component of the force? (2020)

A force of 50 N is applied at an angle of 30° to the horizontal. What is the horizontal component of the force? (2020)

Step 1: Identify the total force applied, which is 50 N.
Step 2: Identify the angle at which the force is applied, which is 30°.
Step 3: Use the formula to find the horizontal component of the force: Horizontal component = F × cos(θ).
Step 4: Substitute the values into the formula: Horizontal component = 50 N × cos(30°).
Step 5: Calculate cos(30°). The value of cos(30°) is √3/2.
Step 6: Substitute cos(30°) into the equation: Horizontal component = 50 N × (√3/2).
Step 7: Calculate the result: Horizontal component ≈ 50 N × 0.866 = 43.3 N.

Vector Resolution – The process of breaking down a force into its horizontal and vertical components using trigonometric functions.
Trigonometric Functions – Understanding how to apply cosine to find the horizontal component of a force based on the angle given.