# In the arrangement the coefficient of friction between the 2 blocks is#mu=1//2#What is the force of friction acting between the 2 blocks?

For ,the two blocks to move together,we can say the frictional force acting at the interface of the two blocks must supply the required force(

So,we can say for the larger block,

or,

And,for the smaller block,

So,comparing both,

or,

So,

Let's,see maximum value of frictional force that can act at their interface ,it is

So,required frictional force is enough for the two blocks to move together.

Note,frictional force will not act by

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Supposing no slipping the set is accelerated as

During carrying the upper block is submitted to a traction force of

this force compared with the maximum static traction force gives

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The force of friction acting on the 2 kg block will be 8 N in the direction of the 24 N force.

Analysis to determine whether or not the 2 kg block slips:

If slipping does not occur, what will be the acceleration of the blocks?

I hope this helps, Steve

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The force of friction acting between the two blocks can be calculated using the formula for frictional force, which is given by $F_f = \mu \cdot N$, where $\mu$ is the coefficient of friction and $N$ is the normal force between the surfaces. If the normal force is known, we can simply multiply it by the coefficient of friction to find the frictional force. However, since the normal force depends on the weight of the object and the surface it's resting on, it needs to be calculated first before finding the frictional force. If the masses of the blocks are known, we can use the equation $N = mg$, where $m$ is the mass of the block and $g$ is the acceleration due to gravity (approximately $9.8 \, \text{m/s}^2$). Once the normal force is determined, we can then use it in the frictional force formula to find the force of friction between the two blocks.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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