In short, you lean inside to reduce horizontal acceleration so that your weight is contributing as much as possible to the normal force (perpendicular to the surface of the track). Since friction force is coefficient of friction * normal force, if you are perpendicular to the surface you maximize friction and therefore the amount of grip you have. And because you are turning inwards, you are being "pulled" outwards, which balances the horizontal force caused by leaning inwards.
this is usually called the "S" bend on a race track
A cyclist bends so as to increase frictional force which produces enough centripetal force to enable him/her to remain a circular path(since a corner is a part of a circular path). Note:Frictional force produces centripetal force in this case
on the inside of the bend
With a paintbrush.
to counter centrifugal force and to take turn faster
The river cliff is the outside of a meander in a river. This is due to erosion from fast flowing water. Deposition occurs on the inside and the inside bend is called the SLIP-OFF SLOPE
A "sharp double bend" can refer to a Chicane. According to the Oxford Dictionary, a Chicane is "a sharp double bend created to form an obstacle on a motor-racing track or a road".
It is the bend in your arm (on the inside, opposite from your elbow).
On the inside of a bend
Stream beds are slowest inside the bend due to the phenomenon of centrifugal force, which causes water to flow faster along the outer edge of the bend. As the water moves around the curve, it erodes the outer bank and deposits sediment on the inner bank, where the flow velocity is lower. This reduced velocity inside the bend allows sediment to accumulate, creating a point bar. Consequently, the inner bend experiences slower water flow compared to the outer bend.
because the river has a shorted way to go around the bend and the current is faster and has less far to go.
It is the small depression inside the bend of the elbow.