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Inclined Planes

In the figure...

Question

In the figure shown, both the blocks are of equal mass of $10 k g$ and $F = 300 N$ . Find the value of tension $T$ in the string in between the blocks.

100 N

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150 N

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200 N

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250 N

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Solution

The correct option is B $150 N$
Considering the blocks to form a system, the force equation for this system can be given as
$F - 20 g sin 30^{\circ} = 20 a$
Here, $F > 20 g s i n 30^{\circ}$ so, the blocks will slide up the plane.
$⟹ 300 - 20 \times 10 \times \frac{1}{2} = 20 a$
$⟹ a = 10 m / s^{2} - - (i)$

FBD of block $B$

From the FBD, we can write the force equation as
$F - T - 10 g sin 30^{\circ} = 10 a - - (i i)$

Using equation $(i)$ in $(i i)$ , we get
$300 - T - 50 = 10 \times 10$
$∴ T = 150 N$

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In the figure shown, both the blocks are of equal mass of 10 kg and F=300 N. Find the value of tension T in the string in between the blocks.

In the figure shown, both the blocks are of equal mass of $10 k g$ and $F = 300 N$ . Find the value of tension $T$ in the string in between the blocks.