Problem 2) A simplified dynamic model of a slingshot is shown in Figure 2 where k=400(N)/(m),M=
1kg, and c=5(N.S)/(m). An initial displacement Delta =0.1m is given to shot a ball with a mass of m=
0.5kg.
a) Calculate the velocity of the ball as it leaves the slingshot.
b) Derive the expression for the motion of the slingshot after the ball is seperated at t=0 and plot the
response for (1)/(10)0.
c
Problem 2) A simplified dynamic model of a slingshot is shown in Figure 2 where k = 400 N/m, M =
0.5 kg.
m
a) Calculate the velocity of the ball as it leaves the slingshot b) Derive the cxpression for the motion of the slingshot after the ball is seperated at t=0 and plot the responsc for 0<t<1s.
1.0
x(t)
A
c
M
m
k
Equilibrium Position
Figure 2: Dynamic model of a slingshot