HW #4 - Forces an at Angle

Front

What is the horizontal component of a force applied at an angle?

Back

The horizontal component can be calculated using the formula: F_horizontal = F * cos(θ), where F is the magnitude of the force and θ is the angle above the horizontal.

Front

How do you find the vertical component of a force applied at an angle?

Back

The vertical component can be calculated using the formula: F_vertical = F * sin(θ), where F is the magnitude of the force and θ is the angle above the horizontal.

Front

What is the tip-to-tail method in vector addition?

Back

The tip-to-tail method involves placing the tail of one vector at the tip of another to find the resultant vector.

Front

Define equilibrium in the context of forces.

Back

Equilibrium occurs when the net force acting on an object is zero, meaning all forces are balanced.

Front

What is a displacement vector?

Back

A displacement vector represents the change in position of an object and has both magnitude and direction.

Front

How do you resolve a vector into its components?

Back

To resolve a vector, use trigonometric functions: the horizontal component is found using cosine, and the vertical component is found using sine.

Front

What is the significance of the angle in force applications?

Back

The angle determines how much of the force acts in the horizontal and vertical directions, affecting the object's motion.

Front

What is the resultant vector?

Back

The resultant vector is the vector sum of two or more vectors, representing the overall effect of the individual vectors.

Front

How do you calculate the magnitude of a resultant vector from two perpendicular vectors?

Back

Use the Pythagorean theorem: R = √(A² + B²), where A and B are the magnitudes of the two vectors.

Front

What is the formula for calculating the magnitude of a force?

Back

The magnitude of a force can be calculated using Newton's second law: F = m * a, where m is mass and a is acceleration.