10101 10 Nm/m -$60mm x L=820mm 5Nm A 6061 aluminum bar has diameter 60mm and length 820mm. It has a distributed torsional moment of 10Nm/m applied along the entire length, and a torsional moment of 5Nm applied at the free end. a) What is the torsional constant b) What is the maximum shear stress as a function of $x$? c) What is the rate of twist as a function of $x$? d) What is the total twist (measured relative to the fixed end) as a function of $x$?
Added by Amber T.
Close
Step 1
The torsional constant, also known as the torsional stiffness or the polar moment of inertia, is a measure of a structure's resistance to twisting. It is denoted by the symbol J. To find the torsional constant, we need to know the dimensions and material Show more…
Show all steps
Your feedback will help us improve your experience
Sufiyan Alam and 96 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A torsional oscillator has a moment of inertia of $4.5 \mathrm{kg} \cdot \mathrm{m}^{2}$ and a torsion constant $\kappa=0.15 \mathrm{N} \cdot \mathrm{m}$ What is the frequency of the oscillator?
Harmonic Motion and Elasticity
Examples of Simple Harmonic Motion
Consider the torsional oscillator in Figure $P 11.30 .$ The rotating mass consists of two small spheres, each of mass $m=2.0 \mathrm{kg}$, that are attached to the ends of a massless rod of length $L=1.5 \mathrm{m} .$ The frequency of this torsional oscillator is found to be $0.035 \mathrm{Hz}$. What is the value of the torsion constant $\kappa$ of the torsion fiber?
If the wheel in case $(a)$ of Prob. $7 / 108$ is forced to precess about the vertical by a mechanical drive at the steady rate $\Omega=2 \mathrm{j}$ rad/s, determine the bending moment in the horizontal shaft at $A$. In the absence of friction, what torque $M_{o}$ is applied to the collar at $O$ to sustain this motion?
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD