Question

Attachment below...

Answer 1

@akbar130292

Answer 2

u there?

Answer 3

ok m solving this if you have any queries let me know
m=3.67kg
k=29.3
M=7.34Kg
R=7.01cm=7.01/100m=0.071m
since the system start from rest so law of conservation of energy can be written as
\[\Large 1/2kx^2-mgx+1/2I \omega^2+1/2mv^2=0\]
for solid objects I(moment of inertia ) is I=0.5MR^2
I=0.5(7.3)(0.071)^2=0.0185 m^4
x=1 m
put all the values in above conservation equation you will get velocity which is the only unknown .

b) maximum spring extension
when potential energy becomes equal to kinetic energy then maximum extension will occur
so
\[\Large mgx=1/2mv^2\]
or
\[\Large x=\frac{2mg}{k}\]
use the above values and get the value of x you will get maximum extension value.

if you have any query regarding this let me know !