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Dynamic of Rigid Body, Exercises of Dynamics

Institut Teknologi Bandung (ITB)Dynamics

Rigid body dynamic analysis using force acceleration method

Typology: Exercises

2023/2024

Uploaded on 11/26/2024

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muelsam-muelsam 🇮🇩

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HOMEWORK 3
AE2104 – Kinematics and Dynamics (4 problems)
1. The pendulum consists of the 5-kg slender rod and the 8-kg thin plate. Determine the location 𝑦
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.
2. At the instant shown, link CD rotates with an angular velocity of 𝜔 = 6 rad/s. If it is subjected to a
couple moment 𝑀 = 450 N⋅m, determine the force developed in link AB, the horizontal and
vertical component of reaction on pin D, and the angular acceleration of link CD at this instant.
The block has a mass of 80 kg and center of mass at G. Neglect the mass of links AB and CD. (Use
Force-Acceleration method)
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HOMEWORK 3

AE210 4 – Kinematics and Dynamics (4 problems)

  1. The pendulum consists of the 5 - kg slender rod and the 8 - kg thin plate. Determine the location 𝑦 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.
  2. At the instant shown, link CD rotates with an angular velocity of 𝜔 = 6 rad/s. If it is subjected to a couple moment 𝑀 = 450 N⋅m, determine the force developed in link AB, the horizontal and vertical component of reaction on pin D, and the angular acceleration of link CD at this instant. The block has a mass of 8 0 kg and center of mass at G. Neglect the mass of links AB and CD. (Use Force-Acceleration method)
  1. The figure shows the cross-section AB of a garage door which is a rectangular 2.5-m by 5-m panel of uniform thickness with a mass of 2 5 0 kg. The door is supported by the struts of negligible mass and hinged at O. Two spring and cable assemblies, one on each side of the door, control the movement. When the door is in the horizontal open position, each spring is unextended. If the door is given a slight imbalance from the open position and allowed to fall, determine the value of the spring constant 𝑘 for each spring which will limit the angular velocity of the door to 1. 4 rad/s when edge B strikes the floor. (Use work-energy method) 4. The hammer consists of a 1 2 - kg solid cylinder C and 5 - kg uniform slender rod AB. If the hammer is released from rest when 𝜃 = 90° and strikes the 40 - kg block D when 𝜃 = 0°, determine the velocity of block D and the angular velocity of the hammer immediately after the impact. The coefficient of restitution between the hammer and the block is 𝑒 = 0.6. (Use impulse-momentum method)