A constant horizontal force **F = mg** starts acting on a suspended pendulum bob of mass m, initially at rest. Let the maximum angular deflection of the string connecting point of suspension to the bob be {\theta}_1 and let {\theta}_2 the angular deflection when the tension of the string is maximum. If

N = {\theta}_1 + {\theta}_2, then find **N**.

# Doubt from Mechanics

**Lavesh_2020**#1

**Sajal_2019**#4

What you should do in this case is consider the fact that 2 constant forces are acting on the bob all the time i.e. mg - verically downwards and mg- horizontally so using vector addition we can clearly say net force is (2)^1/2 mg and 45° from vertical direction and now this situation is more or less equivalent to moving a normal pendulum 45°from vertical and in this case you could clearly tell theta1=90 and theta2=45.

**Sajal_2019**#6

Take a normal pendulum now move it to the left by 45° and leave it . What would happen is the pendulum will oscillate between to two extremes which are 45°left and 45° right so deflection from initial position is simply 90° same is the case here it will initially be hanging vertically and finally it would be hanging horizontally..

**Sajal_2019**#8

Well currently none i used to be in Kota but i have already appeared in jee 2019. My username is actually botched and now i don't know how to rectify it..