10. Conservation of Energy
Motion Along Curved Paths
10. Conservation of Energy Motion Along Curved Paths
3PRACTICE PROBLEM
A group of students are experimenting. They place a loop at the foot of an incline and release a ball from rest along the incline. The goal is to keep the ball attached to the track throughout its trajectory. Given that the mass of the ball is M and the radius of the loop is R, evaluate the minimum release height of the ball (in terms of the given quantities) that achieves the goal. (Assume that friction is negligible.)
A group of students are experimenting. They place a loop at the foot of an incline and release a ball from rest along the incline. The goal is to keep the ball attached to the track throughout its trajectory. Given that the mass of the ball is M and the radius of the loop is R, evaluate the minimum release height of the ball (in terms of the given quantities) that achieves the goal. (Assume that friction is negligible.)