Determine the natural frequencies

Assignment Help Mechanical Engineering

Reference no: EM131465238

Question: In Figure, the shaft ends that support gears 1 and 2 are rigidly attached to ground. The gears are rigidly engaged. The shaft for gear 1 has a 20 cm length, a 5 cm diameter, and a 95 GPa shear modulus. Gear 1 has a 15 cm radius and a 1.5 kg m2 mass moment of inertia. The shaft for gear 2 has a 10 cm length, a 7.5 cm diameter, and a 85 GPa shear modulus. Gear 2 has a 22.5 cm radius and a 1.75 kg m2 mass moment of inertia. The pulley attached to gear 2 has a radius of 10 cm. The weight attached to the cable from the pulley has a mass of 10 kg, and the cable has a stiffness

2244_5.73.png

of 90 N/mm. The pulley attached to gear 2 has negligible mass. Neglect torsional drag at the bearings. Tasks:

(a) Select coordinates and draw free-body diagrams for each mass/inertia element.

(b) Apply the kinematic constraint to eliminate an unneeded coordinate. Separately state the independent equations of motion and then put them in matrix format.

Reference no: EM131465238

Questions Cloud

Creating a simulator that maintains coherent caches : CS 4290/6290, ECE 4100/6100 - Spring 2017 Project - Cache Coherence. In this project, you will be creating a simulator that maintains coherent caches

Machines work non-stop and are never starved of parts : Assuming the machines work non-stop and are never starved of parts, what is the average number of minutes between part completions for the station as a whole?

Purpose of the stakeholder engagement cycle : Identify and briefly describe the five commonly traded organisational currencies - Outline the stages and describe the purpose of the stakeholder engagement cycle.

Digital library-digital documents archive : Discuss and Describe at least 15 literature resources relating to the "Digital Library's and/or Digital Documents Archive" project being carried out.

Determine the natural frequencies : In Figure, the shaft ends that support gears 1 and 2 are rigidly attached to ground. The gears are rigidly engaged. The shaft for gear 1 has a 20 cm length.

Leadership coaching and mentoring program : How would a leadership coaching and mentoring program for university students look like? How could you tell whether the program worked ?

Associated with development of childhood asthma : An investigator wants to test whether exposure to second hand smoke before 1 year of life is associated with development of childhood asthma

Identify the five strategies to manage conflict : Describe the typical contents of a Resource Matrix - Describe the typical contents of a Human Resource Management Plan.

Consider a station consisting of three machines in parallel : Consider a station consisting of three machines in parallel and that have different processing speeds.

User Account

All Pages