Review Problems Dynamics, Exercises of Dynamics

Work and Energy reciew problems

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AE2103 Kinematics and Dynamics
Work and Energy
1. The 20-kg rod is released from rest when θ = 0. Determine its angular velocity when
θ = 90. The spring has an unstrechted of 0.5 m.
Figure for Problem 1.
2. A spring having a stiffness of k = 300 N/m is attached to the end of the 15-kg rod, and it is
unstrecthed when θ = 0. If the rod is released from res when θ = 0, determine its angular
velocity at the instant θ = 30. The motion is in the vertical plane.
Figure for Problem 2.
3. The 6-kg rod ABC is connected to the 3-kg rod CD. If the system is released from rest
when θ = 0, determine the angular velocity of rod ABC at the instant it becomes horizontal.
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AE2103 – Kinematics and Dynamics

Work and Energy

1. The 20-kg rod is released from rest when θ = 0⁰. Determine its angular velocity when

θ = 90⁰. The spring has an unstrechted of 0.5 m.

Figure for Problem 1.

  1. A spring having a stiffness of k = 300 N/m is attached to the end of the 15-kg rod, and it is unstrecthed when θ = 0⁰. If the rod is released from res when θ = 0⁰, determine its angular velocity at the instant θ = 30⁰. The motion is in the vertical plane.

Figure for Problem 2.

  1. The 6-kg rod ABC is connected to the 3-kg rod CD. If the system is released from rest when θ = 0⁰, determine the angular velocity of rod ABC at the instant it becomes horizontal.

Figure for Problem 3.

  1. Determine the speed of the 50-kg cylinder after it has descended a distance of 2 m, starting from rest. Gear A has a mass of 10 kg and a radius of gyration of 125 mm about its center of mass. Gear B and drum C have a combined mass of 30 kg and a radius of gyration about ther center of mass of 150 mm.

Figure for Problem 4.