A Small 355-G Box Hangs from One End of a Thin

question 83

Short Answer

A small 355-g box hangs from one end of a thin light string that goes over a frictionless pulley having a moment of inertia of 0.0125 $k g \cdot m ^ { 2 }$ and a radius of 15 cm. A second small package, this one of mass 680 g, hangs from the other end of the string. When the packages are released, the larger one accelerates downward, the lighter one accelerates upward, and the pulley turns without the string slipping.
(a) What is the tension in the string on the side of the 355-g package?
(b) At what rate do the packages change their speeds?

---

Definitions:

Forgone Entrepreneurial Income

The potential income an entrepreneur misses out on when choosing to start their own business rather than working for wages.

Production Costs

Expenses related to the manufacture of goods or delivery of services, including materials, labor, and overhead.

Average Product

The output per unit of input, calculated by dividing total product by the quantity of input.

Labor

The physical and mental effort used in the production of goods and services.