Consider the mechanical system shown in Figure 8-29. It is at
rest for t<0. The pendulum m2 is supported by mass m1 .
which vibrates because of an elastic connection.
Derive the equations of motion for the system. The displacement x
is measured from
the equilibrium position for t<0. The angular displacement
θ is measured from the
vertical axis passing through the pivot of the pendulum.
Assuming the initial conditions to be x(0) = 0.1 m, . x'(0) = 0
m/s, θ(0) = 0 rad,
and θ'(0) = 0 rad/s, obtain the motion of the
pendulum. Assume also that m1 = 10 kg,
m2 = 1 kg, k = 250 N/m, and l = 1 m.
Consider The Mechanical System Shown In Figure 8 29 It Is At Rest For T 0 The Pendulum M2 Is Supported By Mass M1 Wh 1 (108.62 KiB) Viewed 22 times
. m k Ꮎ " m2 Figure 8–29 Mechanical system.
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