A puck of mass m 1.50 kg slides in a circle of radius r 25.0...

A puck of mass m 1.50 kg
slides in a circle of radius r 25.0
cm on a frictionless table while attached to a hanging cylinder of mass
M 2.50 kg by means of a cord that
extends through a hole in the table
(Fig. 6-45). What speed keeps the
cylinder at rest?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Uniform Circular Motion

This concept describes the motion of an object traveling at a constant speed along a circular path. In such motion, although the speed remains constant, the direction of the velocity changes continuously, which requires a net inward (centripetal) force. Understanding uniform circular motion is essential because it provides the framework for analyzing how forces must act on an object moving along a circle.

Centripetal Force

Centripetal force is the net force acting towards the center of a circular path that keeps an object in circular motion. It is given by the formula F = m·v²/r, where m is the mass, v is the speed, and r is the radius of the circle. In scenarios where the force is provided by tension in a string, for example, this force is what maintains the object's curved trajectory.

Force Equilibrium

Force equilibrium refers to the condition where all the forces acting on an object balance each other, resulting in no net acceleration. In situations where part of the system is static (like a hanging mass that remains at rest), the upward force (such as tension) must exactly counterbalance the downward force (such as gravitational weight). This balance is crucial for linking the forces acting on different parts of the system.

Transcript

Please give Ace some feedback