A puck of mass m=1.50 kg slides in a circle of radius r=20.0 cm on a frictionless table while at

step 1 So for the puck to remain at rest, the magnitude of the tension force T must be equal to the gra

A puck of mass m=1.50 kg slides in a circle of radius r=20.0...

A puck of mass $m=1.50 \mathrm{kg}$ slides in a circle of radius $r=20.0 \mathrm{cm}$ on a frictionless table while attached to a hanging cylinder of mass $M=2.50 \mathrm{kg}$ by means of a cord that extends through a hole in the table (Fig. $6-43 ) .$ What speed keeps the cylinder at rest?

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Key Concepts

Tension in a String

Tension in a string or cord is the pulling force transmitted along its length when it is subjected to forces at each end. In systems connecting objects undergoing different types of motion or forces, tension can act as the medium that couples the dynamics of the system, such as providing the necessary centripetal force from a suspended mass.

Static Equilibrium

Static equilibrium occurs when all the forces acting on an object balance out, resulting in no net force and thus no acceleration. In problems involving connected objects, one part of the system may remain at rest if the forces, such as gravitational force and tension, are in balance.

Uniform Circular Motion

Uniform circular motion describes the motion of an object traveling at a constant speed along a circular path. Although the speed remains constant, the direction of the velocity changes continuously, requiring an inward acceleration known as centripetal acceleration.

Centripetal Force

Centripetal force is the net force required to keep an object moving in a circular path. It is directed inward toward the center of the circle and is calculated as F = (mass × speed²) / radius. In many systems, this force can arise from tension, gravity, or other interactions.

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