A) 25 N
B) 100 N
C) 50 N
D) \[\frac{50}{\sqrt{3}}N\]
Correct Answer: C
Solution :
Let P force is acting at an angle \[{{30}^{o}}\] with the horizontal for the condition of motion, \[F=\mu R\] \[P\,\,\cos \,{{30}^{o}}=\mu (mg-P\,\,\sin {{30}^{o}})\] \[\Rightarrow \] \[P\frac{\sqrt{3}}{2}=\frac{1}{\sqrt{3}}\left( 100-P\times \frac{1}{2} \right)\] \[\Rightarrow \] \[\frac{3P}{2}=\left( 100-\frac{P}{2} \right)\] \[\Rightarrow \] \[2P=100\] \[\Rightarrow \] \[P=50N\]
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