Forces in 2 Dimensions

Front

What is a resultant vector?

Back

A resultant vector is the vector that results from adding two or more vectors together, representing the combined effect of those vectors.

Front

How do you calculate the magnitude of a resultant vector with components?

Back

Magnitude = √(x² + y²), where x and y are the components of the vector.

Front

What is the normal force?

Back

The normal force is the force exerted by a surface to support the weight of an object resting on it, acting perpendicular to the surface.

Front

How does the angle of applied force affect the normal force?

Back

When a force is applied at an angle, the normal force is affected by the vertical component of the applied force, which can either increase or decrease the normal force.

Front

What is the formula to find the x component of a force?

Back

x component = F * cos(θ), where F is the magnitude of the force and θ is the angle with respect to the x-axis.

Front

What is the formula to find the y component of a force?

Back

y component = F * sin(θ), where F is the magnitude of the force and θ is the angle with respect to the x-axis.

Front

How do you find the angle of a resultant vector?

Back

Angle = tan⁻¹(y/x), where y is the y component and x is the x component of the vector.

Front

What is the significance of the angle in vector problems?

Back

The angle determines the direction of the vector and affects the calculation of its components.

Front

What happens to the normal force when an object is pushed down at an angle?

Back

The normal force increases because the vertical component of the applied force adds to the weight of the object.

Front

What is the effect of pulling an object at an angle on the normal force?

Back

The normal force decreases because the vertical component of the pulling force counteracts the weight of the object.