question_answer

Two blocks, \[{{m}_{1}}=2kg\] and \[{{m}_{2}}=4kg\], are connected with a light string that runs over a frictionless peg to a hanging block with a mass M as shown in figure. The coefficient of sliding friction between block \[{{m}_{2}}\]and the horizontal surface is\[\mu k=0.2\]. The coefficient of static friction between the two blocks is\[\mu s=0.4\]. What is the maximum mass M for the hanging block if the block \[{{m}_{1}}\]is not to slip on block \[{{m}_{2}}\]is sliding over the surface?  

Answer:

6.00