A) \[\frac{g(1-g\mu )}{9}\]
B) \[\frac{2g\mu }{3}\]
C) \[\frac{g(1-2\mu )}{3}\]
D) \[\frac{g(1-2\mu )}{2}\]
Correct Answer: C
Solution :
First of all consider the forces on the blocks For the 1st block, \[[\because \,{{m}_{1}}={{m}_{2}}={{m}_{3}}]\] \[mg-B=m\times a\] ?(ii) Let us consider 2nd and 3rd block as a system So, \[{{T}_{1}}-2\mu mg\,=2m\times a\] ?(i) Solving Eqs. (i) and (ii), Þ \[\,mg-{{T}_{1}}=m\times a\] \[{{T}_{1}}-2\mu mg=2m\times a\] \[mg(1-2\mu )=3m\times a\] \[a=\frac{2}{3}(1-2\mu )\]You need to login to perform this action.
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