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

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

Options:

Correct Answer: 43.3 N

Solution:

The horizontal component is given by F_horizontal = F * cos(θ) = 50 N * cos(30°) = 50 N * (√3/2) ≈ 43.3 N.

A force of 50 N is applied at an angle of 30 degrees to the horizontal. What is the horizontal component of the force?

A force of 50 N is applied at an angle of 30 degrees to the horizontal. What is the horizontal component of the force?

Step 1: Identify the total force applied, which is 50 N.
Step 2: Identify the angle of the force with respect to the horizontal, which is 30 degrees.
Step 3: Use the formula to find the horizontal component of the force: F_horizontal = F * cos(θ).
Step 4: Substitute the values into the formula: F_horizontal = 50 N * cos(30°).
Step 5: Calculate cos(30°), which is √3/2 or approximately 0.866.
Step 6: Multiply 50 N by cos(30°): F_horizontal = 50 N * (√3/2).
Step 7: Calculate the result: F_horizontal ≈ 50 N * 0.866 ≈ 43.3 N.

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