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Q.

Two smooth blocks A and B connected by a light in extensible string are kept on a 5 kg block as shown in figure. Force F is applied on 5 kg block. Blocks A and B do not slide relative to the 5 kg block. Then F is:( take $g = 10 m / s^{2}$ )

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a

80 N

b

75 N

c

150 N

d

120 N

answer is D.

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Detailed Solution

a = Acceleration of the system $= \frac{F}{(2 + 3 + 5)} m / s^{2} = \frac{F}{10} m / s^{2}$

For block A, B from ground frame, $T = 2 \times a = \frac{F}{5}$

For block B, from ground frame, $T = 3 g = 30 N$

$∴ \frac{F}{5} = 30 \Rightarrow F = 150 N$

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Two smooth blocks A and B connected by a light in extensible string are kept on a 5 kg block as shown in figure. Force F is applied on 5 kg block. Blocks A and B do not slide relative to the 5 kg block. Then F is:( take g=10 m/s2)