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
ABat 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*kgmass that is dropped
s=0.5mabove 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
mis 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-ggolf 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
Con the ball. Neglect the impulse caused by the ball's weight while the club is striking the ball.