Test:348 QNo:45

Comprehension for 45-47

In the figure masses m1, m2, and M are 20 kg, 5 kg and 50 kg respectively. The coefficient of friction between M and ground is zero. The coefficient of friction between m1 and M and that between m2 and ground is 0.3. The pulley and the string are massless. The string is perfectly horizontal between P1 and m1 and also between P2 and m2. The string is perfectly vertical between P1 and P2. An external horizontal force is applied to the mass M.
Let the magnitude of force of friction between m1 and M be f1 and that between m2 and ground be f2. For a particular F, it is found that f1=2f2.
(Take g=10 m/s2)

acceleration of m1 is

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