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.