Question

A farm roller of mass 100 kg is given a force of 300 N at a \( 30^\circ \) angle to the ground. Find net force acting on it in the vertical direction.

• A. 150 N
• B. 300 N
• C. 250 N
• D. 100 N

Hint:

To resolve forces acting at an angle, use the sine function for the vertical component and the cosine function for the horizontal component.

Answer 1

The Correct Option is A

The force applied to the farm roller is at an angle of \( 30^\circ \) to the ground. To find the vertical component of the force, we use the following formula for the vertical component of the applied force \( F_y \): \[ F_y = F \sin(\theta) \] where: - \( F = 300 \, \text{N} \) (applied force), - \( \theta = 30^\circ \) (angle with the horizontal). Substituting the values: \[ F_y = 300 \times \sin(30^\circ) = 300 \times 0.5 = 150 \, \text{N} \] Therefore, the net force acting on the roller in the vertical direction is 150 N.