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Laws of Motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsLaws of Motion3 Marks
Question
A ball is held at rest at position A in Fig., by two light strings. The horizontal string is cut and the ball starts swinging as a pendulum. Point B is the farthest to the right where the ball goes as it swings back and forth. What is the ratio of the tension in the supporting string in position B to its value at A before the horizontal string was cut?A ball is held at rest at position A in Fig., by two light strings. The horizontal string is cut and the ball starts swinging as a pendulum. Point B is the farthest to the right where the ball goes as it swings back and forth. What is the ratio of the tension in the supporting string in position B to its value at A before the horizontal string was cut?

✓

Answer

In the first case, ball is in equilibrium. So, the net force on the body in any direction should be zero.
$\therefore \sum \ \vec{\text{F}}$ in the vertical direction = 0
$\therefore \text{T}_{1} \cos \theta = \text{mg}\Rightarrow \text{T}_{1} = \frac{\text{mg}}{\cos \theta}$ 

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