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  • Two masses m1=6 kg and m2 = 4 kg are connected by a light string that passes over a smooth pulley on a smooth inclined plane; The system is at rest; The normal reaction force acting on the mass is?

Two masses m1=6 kg and m2 = 4 kg are connected by a light string that passes over a smooth pulley on a smooth inclined plane; The system is at rest; The normal reaction force acting on the mass is?

Option: 1

20\sqrt{5}N


Option: 2

10\sqrt{5}N


Option: 3

15\sqrt{5}N


Option: 4

12\sqrt{5}N


Answers (1)

best_answer

From the system, we can say that

m_{2}g=m_{1}sin\theta

\Rightarrow sin\theta =\frac{4}{6}=\frac{2}{3}
\Rightarrow cos\theta =\frac{\sqrt{5}}{3}

Reaction Force

N=m_{1}g\, cos\theta
\Rightarrow N=\frac{\sqrt{5}}{3}*6*10=20\sqrt{5}N

Posted by

Pankaj

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