Question

1. Why is it necessary to do a vector resolution problem using the force of Static Friction, in order to theoretically determine the Angle of Repose?

2. What does a very low Angle of Repose tell you about the kind of surface at play?
3. What does it tell you about the Coefficient of Static Friction?

Answer 1

A stone is thrown up wards with an initial velocity of 25 m/s at an angle of 30 to the ground.

Answer 2

Vector resolution in static friction is used to determine the Angle of Repose, indicating the tipping point of motion. A low Angle of Repose implies a slick surface and a low coefficient of static friction.

Step-by-step explanation:

Vector resolution of the force of static friction is necessary to determine the Angle of Repose because it helps to find the exact angle at which a body starts to slide down an inclined plane. The force of static friction acts up the slope, balancing the component of the gravitational force pulling the body down the slope. When these forces are equal, any small increase in the angle would cause the body to slide, indicating the Angle of Repose.

A very low Angle of Repose suggests that the surface is likely very slick or smooth. This indicates that the force required to cause movement on such surfaces is relatively small. A low Angle of Repose is indicative of a low coefficient of static friction, which means that less force is needed to overcome the frictional resistance before an object begins to move.