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

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.