Aweight with mass =250 gmw=250 g is tied to a piece of thread wrapped around a spool, which is suspended in such a way that it can rotate freely. when the weight is released, it accelerates toward the floor as the thread unwinds. assume that the spool can be treated as a uniform solid cylinder of radius =3.00 cmr=3.00 cm and mass =100 gms=100 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

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.