Figure 2 shows a ballistic pendulum consists of 5 kg slender rod and 10 kg solid cylinder. The pendulum is originally at rest, θ = 0ᵒ. A 10 g bullet with velocity v is fired to the solid cylinder. a) Determine the location of ?̅ of the center of mass G of the pendulum. Then, calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G. b) Initially, it is estimated that the value of v is 622 m/s. Analyze the angular velocity of the cylinder just after the bullet embedded. Also, determine the expected value of maximum angle θ will swing when the pendulum stops. Then, evaluate the expected amount of energy lost during impact in percentage. c) However, it is observed that the cylinder swing upward to a maximum angle of θ = 22ᵒ. Determine the actual initial value of v. Then, analyze the linear impulse imparted by the bullet on the cylinder. Also, evaluate the force on the rod immediately just after the impact.
Figure 2 shows a ballistic pendulum consists of 5 kg slender rod and 10 kg solid cylinder. The pendulum is originally at rest, θ = 0ᵒ. A 10 g bullet with velocity v is fired to the solid cylinder.
a) Determine the location of ?̅ of the center of mass G of the pendulum. Then, calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.
b) Initially, it is estimated that the value of v is 622 m/s. Analyze the
c) However, it is observed that the cylinder swing upward to a maximum angle of θ = 22ᵒ. Determine the actual initial value of v. Then, analyze the linear impulse imparted by the bullet on the cylinder. Also, evaluate the force on the rod immediately just after the impact.
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