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A pendulum is oscillating with angular displacement of π/2rad at what angle the vertical as shown the acceleration of bob will be directed horizontally.

A pendulum is oscillating with angular displacement of π/2rad at what angle the vertical as shown the acceleration of bob will be directed horizontally. 

Grade:12th pass

1 Answers

Avishek Bhagat
askIITians Faculty 71 Points
7 months ago
Dear Student.
According to the problem

v=2gh=√2glcosθ ,a1=gsinθ
ac=v2/l=2gcosθ
Net acceleration will be horizontal if the vertical components ofac and atcancel each other.
For this ,accosθ=atsinθ
⇒2gcos2θ=gsin2θ⇒anθ=√2




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