Vertical circle motion is a type of circular motion in which an object moves in a circular path in a vertical plane. This means that the object is constantly changing direction and velocity as it moves around the circle.
An object moves in a vertical circle due to the combination of two forces: gravity and tension. The force of gravity acts downwards, while the tension force acts towards the center of the circle, keeping the object moving in a circular path.
The speed of an object in vertical circle motion is inversely proportional to its radius. This means that as the radius of the circle decreases, the speed of the object increases and vice versa. This is because the object has to travel a shorter distance in a smaller circle, so it needs to move faster to maintain the circular motion.
The minimum speed an object must have to complete a vertical circle is the speed at the top of the circle, also known as the critical speed. This speed is equal to the square root of the product of the gravitational acceleration and the radius of the circle.
The mass of an object does not affect its vertical circle motion. As long as the object has enough speed to complete the circle, its mass will not change the motion. However, a heavier object will require more tension in the string to keep it moving in a circular path.