Why should the amplitude be small foe a simple pendulum experiment?

Why should the amplitude be small for a simple pendulum experiment?

What would be the effect on the time period, if the amplitude of a simple pendulum increases ?

For a particle to leave from the earth's field, it should be projected with a minimum velocity. Find the period of a simple pendulum, if this experiment is performed inside a satellite?

For small amplitudes, the force constant of a simple pendulum is

(A) : Simple pendulum is said to be executing linear SHM if its angular amplitude is small (R) : Time period of simple pendulum depends on mass of the pendulum bob.

Why are vibrations of a simple pendulum damped?

When the amplitude of vibrations of a simple pendulum is increased, then its time-period :