At what distance from mean position is K.E equal to P.E?

P(E/F) is equal to :

Is it true that P.E. at mean position is zero?

A rain drop of mass 1.00 g falling from a height of 1 km hits the ground with a speed of 50 ms^-1 . Calculate. Is the gain in K.E. equal to loss of P.E.? If not, why?

What is the ratio of translational K.E. to the total K.E. of a rolling body?

calculate velocity of a particle executing S.H.M and show that it is maximum at the mean position and minimum (i.e. zero) at the extreme position.

Show that the angular momentum is the product of linear momentum and bot distance from the axis of rotation (lever arm) i.e. L = p.d

What is the ratio of rotational K.E. to the translational K.E. of a rolling body?