Question

A light string is wrapped around a spool (shape is unknown, thus you do not know moment of inertia I) of radius 0.5 m. A 5.0-kg mass is hung from the string, causing the spool to rotate and the string to unwind. The spool rotates from rest to 10 rad/s in 2 s. Find (a) the angular acceleration of spool, (b) moment of inertia I, and (c) the tension on the string.

Answer 1

a) angular acceleration α = 5 rad/sec

b) MOI = 1.25 kgm^2

c) Tention in the string T = 12.5 N

Step-by-step explanation:

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