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(Solved): Problem 1 The girl has a mass of 40 kg and center of mass at G. If she is swinging to a maximum heig ...



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.



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