In the figure shown- the system is accelerated upwards with 2 m - s 2 by an external force F 0- Find the value of F 0 and tension at the mid point of therope- Take g -10 m - s 2A- 120 N - 4 NB- 100 N - 48 N- 120 N - 48 ND- 100 N - 4 N

The correct option is C 120 N, 48 N nbsp;For calculating the value F_∘, consider two blocks with the rope as a system. FBD of the whole system, F_o 100=10× ...

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Byju's Answer

Standard XII

Physics

Tension in a String

In the figure...

Question

In the figure shown, the system is accelerated upwards with $2 m / s^{2}$ by an external force $F_{\circ}$ . Find the value of $F_{o}$ and tension at the mid point of the rope.
Take $g = 10 m / s^{2}$ .

120 N, 4 N

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120 N, 48 N

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100 N, 4 N

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100 N, 48 N

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Solution

The correct option is B $120 N, 48 N$
For calculating the value $F_{\circ}$ , consider two blocks with the rope as a system. FBD of the whole system,

$F_{o} - 100 = 10 \times 2$
$F_{o} = 120 N$
For calculating the tension at the middle point, we draw FBD of $3 k g$ block with half of the rope (mass $1 k g$ ) as shown.
$T - 4 g = m a = 4 \times 2$
$T = 48 N$

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In the figure shown, the system is accelerated upwards with 2 m/s2 by an external force F∘. Find the value of Fo and tension at the mid point of the rope. Take g=10 m/s2.

In the figure shown, the system is accelerated upwards with $2 m / s^{2}$ by an external force $F_{\circ}$ . Find the value of $F_{o}$ and tension at the mid point of the rope.
Take $g = 10 m / s^{2}$ .