The coefficient of static and kinetic friction between the two blocks and also between the lower block and the ground are -s- 0-6 and -k- 0-4- Find the value of tension T applied on the lower block at which the upper block begins to slip relative to lower block-

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Standard XII

Physics

Finding Friction's Magnitude

The coefficie...

Question

The coefficient of static and kinetic friction between the two blocks and also between the lower block and the ground are $μ_{s} = 0.6$ and $μ_{k} = 0.4$ . Find the value of tension $T$ applied on the lower block at which the upper block begins to slip relative to lower block.

20 N

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40 N

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60 N

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80 N

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Solution

The correct option is B $40 N$
The maximum static friction on upper and lower block is $f_{1 m a x} = μ_{s} m_{1} g = 0.6 \times 2 \times 10 = 12 N$
The maximum static friction between ground and lower block is $f_{2 m a x} = μ_{s} (m_{1} + m_{2}) g = 0.6 (2 + 2) 10 = 24 N$
We assume that both blocks move together with acceleration a to the right
so, $(m_{1} + m_{2}) a = T - μ_{k} (m_{1} + m_{2}) g$
or $4 a = T - 0.4 (2 + 2) 10$ or $a = \frac{T - 16}{4}$
for upper block, $f_{1} = 2 a = \frac{T - 16}{2}$
For just sliding, $f_{1} = f_{1 m a x}$ or $\frac{T - 16}{2} = 12$
or $T - 16 = 24 \Rightarrow T = 40 N$

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The coefficient of static and kinetic friction between the two blocks and also between the lower block and the ground are μs=0.6 and μk=0.4. Find the value of tension T applied on the lower block at which the upper block begins to slip relative to lower block.

The coefficient of static and kinetic friction between the two blocks and also between the lower block and the ground are $μ_{s} = 0.6$ and $μ_{k} = 0.4$ . Find the value of tension $T$ applied on the lower block at which the upper block begins to slip relative to lower block.