A simple pendulum is vibrating with an angular amplitude of 90º as shown in the given figure. For what value of 
, is the acceleration directed?
(i) vertically upwards
(ii) horizontally
(iii) vertically downwards
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) 0º, (ii) cos – 1 
, (iii) 90º
Sol. (i) At α = 0º
a net = 
acceleration is vertically up
(ii) At α = 90º is at B
Acceleration is vertically down.
(iii) Horizontally
tan α = 
⇒ g sin α . tan α = 
.....(1)
Using energy conservation:
....(2)
By (1) & (2)
tan α = 
∴ cos α = 
∴ α = cos – 1 
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