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…

In the arrangement shown in figure a1,a2,a3 and a4 are the accelerations of masses m1,m2,m3 and m4 respectively. Which of the following relation is true for this arrangement?

  1. 4a1+2a2+a3+a4=0
  2. a1+4a2+3a3+a4=0
  3. a1+4a2+3a3+2a4=0
  4. 2a1+2a2+3a3+a4=0

Solution

The figure shows the tension acting on each string in the system.

T·a=0

4Ta1+2Ta2+Ta3+Ta4=0

4a1+2a2+a3+a4=0

Asked in: JEE Main 2022 (26 Jun Shift 2)

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