Problem 1 The girl has a mass of 40 kg and center of mass at
G
. If she is swinging to a maximum height defined by
\theta =60\deg
, determine the force developed along each of the four supporting posts such as
AB
at the instant
\theta =0\deg
. The swing is centrally located between the posts. Problem 2 Two equal-length springs are "nested" together in order to form a sbock absorber. If it is designed to arrest the motion of a
2*kg
mass that is dropped
s=0.5m
above the top of the springs from an at-rest position, and the maximum compression of the springs is to be 0.2 m , determine the required stiffness of the inner spring,
k_(g)
, if the outer spring has a stiffness
k_(A)=400(N)/(m)
. Problem 3 The roller coaster car having a mass
m
is released from rest at point
A
. If the track is to be designed so that the car does not leave it at
B
, determine the required height
h
. Also, find the speed of the car when it reaches point C. Neglect friction. Problem 4 A man hits the
50-g
golf ball such that it leaves the tee at an angle of
40\deg
with the horizontal and strikes the ground at the same elevation a distance of 20 m away. Determine the impulse of the club
C
on the ball. Neglect the impulse caused by the ball's weight while the club is striking the ball.