Physics Challenge: Minimum Speed for a Vertical Circle #physics #quiz

MCQ: Minimum Speed for a Vertical Circle
physics
mechanics
circular motion
centripetal force
tension
gravity
minimum speed
vertical circle
string
mass
length
Explanation:
The correct answer is (a) √(Lg).
At the top of the path, the gravitational force (mg) acts downward, and the tension in the string (T) acts upward. For the string to remain taut, the tension must be greater than or equal to zero. Using Newton's second law of motion in the radial direction: T - mg = mv²/L At the minimum speed, the tension is zero. Therefore: -mg = mv²/L v² = gL v = √(Lg). So, the minimum speed at the top of the path is √(Lg).