question_answer

A man of mass \[m=60kg\] is standing on weighing machine fixed on a triangular wedge of angle \[\theta ={{60}^{o}}\] with horizontal as shown in the figure. The wedge is moving up with an upward acceleration\[a=2m{{s}^{-2}}\]. The weight registered by machine is:   

A)  600N             

B)  1440N                

C)  360N                       

D)  240N          

Correct Answer: C

Solution :

From the figure                         \[N-mg\,\cos \theta =ma\,\cos \theta \]             \[\Rightarrow \]            \[N=m(g+a)\cos \theta \]                         \[=60\,(10+2)\,\cos \theta \]                         \[N=360N\] This would be the weight shown by the machine.