A ball is held at rest at position A by two light strings. The horizontal string is cut and the ball starts swinging like a pendulum. Point B is the farthest to the right 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?

Question

A ball is held at rest at position A by two light strings. The horizontal string is cut and the ball starts swinging like a pendulum. Point B is the farthest to the right 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?, sin 2 ⁡ β, cos 2 ⁡ β, tan 2 ⁡ β, cos ⁡ β

MARKS App · Accepted Answer

At A: T ′ cos ⁡ β = m g T ′ = m g cos ⁡ β At: B T ′ ′ - m g cos ⁡ β = m v 2 1 at B ; v = 0 T ′ ′ = m g cos ⁡ β T ′ ′ T ′ = m g cos ⁡ β m g / cos ⁡ β T e n s i o n a t B T e n s i o n a t A = T ′ ′ T ′ = c o s 2 β

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