Question

A bob of simple pendulum of length $l$ is suspended from a frictionless fixed support. The bob is given a horizontal velocity $v_0$ as shown in figure


If $v_0=\sqrt{6gl}$, then select the INCORRECT statement.

• A. Acceleration of bob is always towards the fixed support point
• B. Maximum tension in string is $7mg$
• C. Maximum acceleration of bob is $6g$
• D. Minimum tension in string is $mg$

Answer 1

The correct option is A Acceleration of bob is always towards the fixed support point

$v_{min}^2=v_0^2-2g\times \left(2l\right)$

$\Rightarrow v_{min}=\sqrt{2gl}$

$\therefore T_{min}=mg,T_{max}=7mg$