Question

20. Two blocks with masses of 4 kg and 8 kg are connected by a
string and slide down a 30° inclined plane. The coefficient of
kinetic friction between the 4 kg block and the plane is 0.20
that between the 8 kg block and the plane is 0.35.
(a) Calculate the acceleration of each block.
(b) Calculate the tension in the string.​

Answer 1

Answer:

Since the larger block has the larger coefficient of friction it will need to be pulled down the plane.

For the small block,

4(sin30∘−(0.25)cos30∘)−T=4a

⇒4a=11.11N−t

For larger block,

15.44+T=8a

Now, adding the two relations

26.55N=12a

a=2.21m/s2

We can find the tension (T=2.27N)

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