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A piece of string of length $l$ and mass $M$ is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity $\omega$. ...

Question

A piece of string of length $l$ and mass $M$ is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity $\omega$. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small angle, $\Delta \theta$.

A piece of string of length $l$ and mass $M$ is fastened into a circular loop and set spinning about the center of a circle with uniform angular velocity $\omega$. Find the tension in the string. Suggestion: Draw a force diagram for a small piece of the loop subtending a small angle, $\Delta \theta$.



Answers

A small block with mass 0.130 kg is attached to a string passing through a hole in a frictionless, horizontal surface (see Fig. E10.40). The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortening the radius of the circle in which the block revolves. The breaking strength of the string is 30.0 N. What is the radius of the circle when the string breaks?


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