A uniform chain of length l and mass m overhangs a horizontal table with its 3/4 part on the table - Physics - Work Energy and Power

Question

​A uniform chain of length l and mass m overhangs a
horizontal table with its 3/4 part on the table the friction
coefficient between the table and
​​the chain is ? find the work done by the friction
during the period the chain slips off the table?friction coeff =0 2
g=10m/s L=2m and m=16kg

Ujjval Chauhan · Accepted Answer

Dear student,

Consider an element of chain as shown in figure,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_57b4a40862734%20jpg">
WD by friction force, when this element covers a distance is,
dW=dF→
s→=-μdmg×x (direction of F and displacement is opposite)W=∫03l4-μgxdm⇒W=∫03l4-μgxMldx⇒W=-μg3l422×Ml=-932μMglPutting all given values, we get, ⇒W=-18 J

​A uniform chain of length l and mass m overhangs a horizontal table with its 3/4 part on the table. the friction coefficient between the table and ​​the chain is ?.find the work done by the friction during the period the chain slips off the table?friction coeff =0.2 g=10m/s L=2m and m=16kg

A uniform chain of length l and mass m overhangs a horizontal table with its 3/4 part on the table. the friction coefficient between the table and
the chain is ?.find the work done by the friction during the period the chain slips off the table?friction coeff =0.2 g=10m/s L=2m and m=16kg