Concept #1: Intro to Centripetal Forces
Practice: For the situation above, suppose the string breaks if its tension exceeds 50 N. Calculate the maximum speed that the object can attain without breaking the string.
Example #1: Intro to Centripetal Forces
Example #2: Vertical Centripetal Forces
Example #3: Vertical Centripetal Forces
Practice: A pendulum is made from a light, 2 m-long rope and a 5-kg small object. When you release the object from rest as of a certain height, it swings from side to side, attaining a maximum speed of 10 m/s. At the object’s lowest point:
(a) Draw a Free Body Diagram.
(b) Find the magnitude of its acceleration.
(c) Find the tension on the rope.
Concept #2: Flat Curve
Concept #3: Banked Curve
Practice: You are designing a highway curve to allow cars to turn, without any banking, at a maximum speed of 50 m/s. The average coefficient of friction between cars and asphalt, for dry roads, is roughly 0.7. What radius would this curve have to have, for this to be possible? For the radius you just found, how much would you have to bank the same curve, in order to attain the same maximum speed, but at the absence of friction?