Assume that the spool can be treated as a uniform solid cylinder of radius =3.00 cmr=3.00 cm and mass =200 gms=200 g . find the magnitude of the acceleration of the weight as it descends. assume the thread has negligible mass and does not slip or stretch as it unwinds

Explanation:

The mass is connected with a string and wrapped around the spool

So here we can say that the force on the mass is due to weight and the tension in string so as per the force equation we have

now for the spool we can say it is rotated due to the tension force on it

so we can say

now we have

now the acceleration is given as

now plug in values of all masses

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.