JEE Main 2022 · 26 Jun · Shift 2 · Physics Q32

← JEE Main 2022 · 26 Jun · Shift 2

PhysicsSingle correct+4 / -1Question 32 of 90

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 ?

A fixed pulley hangs from the ceiling with m1 on one side of its string and a movable pulley on the other; that pulley carries m2 on one side and a second movable pulley on the other; the second movable pulley carries m3 on one side and m4 on the other.

4a_1+2a_2+a_3+a_4=0

a_1+4a_2+3a_3+a_4=0

a_1+4a_2+3a_3+2a_4=0

2a_1+2a_2+3a_3+a_4=0

Answer and worked solution

Official answer: A

Constraints (downward positive). Fixed pulley: $a_1+a_{P1}=0$ . Pulley $P_1$ : $a_2+a_{P2}=2a_{P1}$ . Pulley $P_2$ : $a_3+a_4=2a_{P2}$ .

Eliminate. $a_{P1}=-a_1$ , $a_{P2}=-2a_1-a_2$ , so $a_3+a_4=-4a_1-2a_2$ : $4a_1+2a_2+a_3+a_4=0$ .

(A)

Topics:Constraint motion and pulleys

← Previous question Next question →

JEE Main 2022 · 26 Jun · Shift 2, Physics question 32