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Question: The coefficient of static friction, \(\mu _ { s }\) between block A of mass 2 kg and the table as ...

The coefficient of static friction, μs\mu _ { s } between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (g=10m/s2)\left( g = 10 m / s ^ { 2 } \right)

A

2.0 kg

B

4.0 kg

C

0.2 kg

D

0.4 kg

Answer

0.4 kg

Explanation

Solution

μs=mBmA\mu _ { s } = \frac { m _ { B } } { m _ { A } }0.2=mB20.2 = \frac { m _ { B } } { 2 }mB=0.4 kgm _ { B } = 0.4 \mathrm {~kg}