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rotates uniformly in a horizontal circular plane of radius of 
. The circumferential speed of rotation of the body is 
. What is the resultant of all the forces acting on the body and where is it directed?
and the gravitational acceleration is 
.
lands on the landing area of a ski jump at a speed of 
. In the end, the ski jump has a curve with a radius of 
. What is the force on the jumper's legs when landing?
is placed on the edge of a disc with a radius of 
. The coefficient of friction between the body and the disc is 0.2. The disc is then rotated and its speed increases until the body falls out of the disk. At what frequency of rotation will this happen?
and 
are placed on a rotating bar. The weights are connected by a rope of length 
, as shown in the figure below, and can move freely on the crossbar without friction. At what distance of the first weight from the axis of rotation will the weights rest (they will not move along the bar)?
travels on a straight road at a speed of 
when it hits a bump with a radius of 
.
stands in the middle of a horizontal carousel plate with a radius of 
. The plate rotates about an axis with an oscillation period of 
. At some point, the child begins to move at a speed of 
towards the circumference of the carousel in the direction of the radius. Determine the direction and magnitude of the forces that will act on the child as he moves uniformly and in a straight line towards the circumference.
can slide frictionlessly along a wire which is twisted into a semicircular loop with radius 
as shown in the figure below. The semicircular loop is rotated around an axis at an angular velocity 
.
with respect to the lowest position, and name the forces.
?
to the vertical and then released.
is tied to a light rope. The ball is rotated uniformly at a frequency 
in a horizontal circle of radius 
as shown in the figure below.
. Groove 1 is vertical and groove 2 is at an angle 
with respect to groove 1 as shown in the figure below.
rolls up a circular slope as shown in the figure below. The velocity at point 
is equal to half the initial speed 
at point A. The circular slope is very smooth and has radius 
.
.
?
of the body?
and tied to a 
long rope is rotated uniformly in a vertical plane at a speed of 
. The rotating body is observed in three positions at angles 
, 
and 
to the horizontal as shown in figure 1 below.
angles from 
to 
.
.
is placed on a rotating plate at a distance 
from the axis of rotation of the plate as shown in the figure below. The plate rotates at a frequency 
, and the body has not yet slipped off the plate.
