Physics-
General
Easy
Question
A uniform rope is moving with a constant acceleration ‘a’ on a smooth horizontal surface. The ratio of the tension in the rope at its mid point to the applied force is,
- 1:1
- 1:2
- 0
- 2:1
The correct answer is: 1:2
Let total mass of the rope be M and total length L. Now let us find the tension at a point at a distance l from the end where the force F (let) is applied.
From F.B.D. of front part shown
N2 = 
(1)
F - T = 
(2)
From F.B.D. of rear part shown
N1 = 
(3)
T = 
(4)
From (2) and (4),
F = Ma (5)
Therefore, a = 
(6)
From (4) and (6),
T = 
Therefore, 
(7)
At the mid point, 
, therefore 
2.If the mass of the rope is not accounted then 
Therefore (B)
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