The first approach as per the solution is correct, since there is no acceleration or component thereof in the vertical direction.influx said:
Ah I see. With radial acceleration you are referring to an right?PhanthomJay said:
Yes, right.influx said:
Resolving in the vertical direction and along the direction of the normal force means breaking down a vector or force into its components in the vertical direction and along the direction of the normal force, which is perpendicular to the surface. This is often done in physics and engineering problems to simplify calculations.
It is important to resolve forces in the vertical direction and along the direction of the normal force because it allows us to accurately determine the effects of these forces on an object. By breaking down a force into its components, we can better understand how it will affect the motion and stability of an object.
To resolve a force in the vertical direction and along the direction of the normal force, you need to use trigonometry. The vertical component of a force is found by multiplying the magnitude of the force by the sine of the angle between the force and the vertical direction. The normal component is found by multiplying the magnitude of the force by the cosine of the angle between the force and the normal direction.
Yes, you can resolve a force in any direction. However, it is most common and useful to resolve forces in the vertical and normal directions, as these are often the directions in which forces act on objects.
Resolving forces in the vertical direction and along the direction of the normal force is commonly used in construction, engineering, and sports. For example, when designing a bridge, engineers must resolve the forces acting on the structure to ensure its stability. In sports, such as basketball, players often use the backboard to resolve the force of their shot into both vertical and normal components to increase their chances of making a basket.