A simple pendulum has a bob of mass m and swings with an angular amplitude φ φ . The tension in the thread is T. At a certain time, the string makes an angle θ θ with the vertical ( θ θ ≤ φ φ ).
A
T = mg cos θ θ , for all values of θ θ .
B
T= mg cos θ θ , only for θ θ = φ φ .
C
T = mg, for θ θ = cos -1 
.
.
D
Twill be larger for smaller values of θ θ .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c, d): mg (l cos θ θ - l cos φ φ ) = 1/2 mv 2
or mv 2 /l = 2 mg (cos θ θ - cos φ φ )
Also, T – mg cos θ θ = 
= 2 mg (cos θ θ - cos φ φ )
or T = mg (3 cos θ θ - 2 cos φ φ )
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