# five persons A,B,C,D,E are pulling the cart of mass 100 kg on a smooth surface and cart is moving with acceleration of 3m/sq in east direction. when person A stops pulling it moves with acceleration of 1m/sq in west direction. When person B stops pulling, it moves with acceleration of 24m/sq in north direction. The magnitude of acceleration of the cart when only A and B pulls the cart keeping their direction same as the old direction is:

bharat bajaj IIT Delhi
askIITians Faculty 122 Points
8 years ago
$F_{a} + F_{b} + F_{c} + F_{d} + F_{e} = 100. 3 i$…. Eq. 1
where i is unit vector in east direction.
$F_{b} + F_{c} + F_{d} + F_{e} = 100.-1i$…. Eq 2
$F_{a} + F_{c} + F_{d} + F_{e} = 100.24j$… Eq 3
From Equation 1 and 2, we get
$F_{a} = 100.4i$
From equation 1 and 3 , we get
$F_{b} = 100.(3i - 24j)$
Hence, if only A and B are pulling,
$F_{a} + F_{b} = 100.(7i - 24j)$
Acceleration will be : 25 m/sq
Thanks & Regards
Bharat Bajaj
IIT Delhi
Tharun
15 Points
4 years ago

$F_{a} + F_{b} + F_{c} + F_{d} + F_{e} = 100. 3 i$…. Eq. 1
where i is unit vector in east direction.
$F_{b} + F_{c} + F_{d} + F_{e} = 100.-1i$…. Eq 2

$F_{a} + F_{c} + F_{d} + F_{e} = 100.24j$… Eq 3

From Equation 1 and 2, we get
$F_{a} = 100.4i$

From equation 1 and 3 , we get
$F_{b} = 100.(3i - 24j)$
Hence, if only A and B are pulling,
$F_{a} + F_{b} = 100.(7i - 24j)$
Acceleration will be : 25 m/sq
Thanks & Regards
Bharat Bajaj