Q.
The masses $M_{1}$, $M_{2}$ and $M_{3}$ are 5,2 and 3 kg respectively. These have been joined using massless, inextensible pieces of strings as shown in figure. If whole system is going upward with an acceleration of 2 $ms^{- 2}$, then the value of tensions $T_{1},T_{2}$ and $T_{3}$ respectively are
A) 29.4 N, 98 N, 98 N
B) 98 N, 49 N, 29.4 N
C) 118 N, 59 N, 35.4 N
D) 35.4 N, 118 N, 59 N
Explanation
(c) Given $T_{1} = \left( M_{1} + M_{2} + M_{3} \right)(g + a)$
$= (5 + 2 + 3)(9.8 + 2) = 118$ N
$T_{2} = \left( M_{2} + M_{3} \right)(g + a) = (2 + 3)(9.8 + 2) = 59$ N
$T_{3} = M_{3}(g + a) = 3(9.8$+2$) = 35.5$ N
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.