Physics-
General
Easy
Question
A pendulum is hanging from the ceiling of a cage. If the cage moves up with constant acceleration a, its tension is T1 and if it moves down with same acceleration, the corresponding tension is T2. The tension in the string if the cage moves horizontally with same acceleration a is,
The correct answer is:
Referring to the free body diagrams of the bob we obtain,
T1 – mg = ma
ÞT1 = m (g + a) (1)
mg -T2 = ma
ÞT2 = m(g - a) (2)
When the cage moves horizontally with an acceleration a, let the tension be T. From the free body diagram, T Sinq = ma
And T Cosq - mg = 0
Þ(T Sinq)2 + (T Cosq)2 = (ma)2 + (mg)2
ÞT2 = m2 (g2+a2) (3)
From (1) and (2)
Þ
m2 …(4)
Equations (3) and (4), we obtain
Þ
Therefore (C)
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