JEE Main202226 Jun 2022Evening ShiftPhysicsLaws of MotionActual
In the arrangement shown in figure a 1 , a 2 , a 3 and a 4 are the accelerations of masses m 1 , m 2 , m 3 and m 4 respectively. Which of the following relation is true for this arrangement?
Options
- A4 a 1 + 2 a 2 + a 3 + a 4 = 0
- Ba 1 + 4 a 2 + 3 a 3 + a 4 = 0
- Ca 1 + 4 a 2 + 3 a 3 + 2 a 4 = 0
- D2 a 1 + 2 a 2 + 3 a 3 + a 4 = 0
Correct answer
A. 4 a 1 + 2 a 2 + a 3 + a 4 = 0
Step-by-step solution
The figure shows the tension acting on each string in the system. ∑ T → · a → = 0 ⇒ 4 T a 1 + 2 T a 2 + T a 3 + T a 4 = 0 ⇒ 4 a 1 + 2 a 2 + a 3 + a 4 = 0