The discussion revolves around a physics problem involving centripetal motion, specifically analyzing the forces acting on a stone attached to a string that is rotated in a horizontal plane at an angle. The problem requires determining the speed of the stone while considering the effects of gravity and tension in the string.
The discussion is active, with participants exploring different interpretations of the forces and their components. Some guidance has been offered regarding the relationship between centripetal force and the net force acting on the stone. There is recognition of the need to clarify the radius of the circular path in relation to the length of the string.
Participants note that the radius used in calculations may not be equivalent to the length of the string, indicating a need for trigonometric considerations to accurately determine the radius of the circular path.
What do you mean by 'total force'? Realize that in the formula in your first post, that "F" has to be the centripetal force.mpmor1 said:if the total force is broken into its horizontal and vertical components, can its force of weight (1.962N) be treated as the vertical component?
Almost.mpmor1 said:The two forces acting on the stone are its weight, pointing straight down, and the unknown centripetal force which can be seen as the tension in the string
How did you solve for that component? (But you're right.)mpmor1 said:So if the horizontal component is the centripetal Force, that being 4.2075N,
Yep. (But there's a slightly easier way.)then this can simply be plugged into the equation V= sqrt(Fr/m)?
What did you use for r?mpmor1 said:That doesn't yield the correct answer online
There's your problem. r stands for the radius of the circular path, which is not the length of the string. Use a little trig to figure out r.mpmor1 said:.8m, the length of the string