Friday

April 25, 2014

April 25, 2014

Posted by **Uncle Sam** on Thursday, July 25, 2013 at 1:20am.

Obtain symbolic expressions in terms of R, G0, L, t0, and x for the quantities below. In your answers, leave rationals as fractions and enter G0, t0, and π as G_0, t_0 and pi, respectively.

The x-component of the reaction torque at C:

TCx=

Q2_1_2 : 60.0 POINTS

The twist rate dφdx(x), and the position x0 along the shaft where the twist rate goes to zero (dφdx(x0)=0):

for0≤x<L,dφdx(x)=

forL<x≤3L,dφdx(x)=

dφdx(x0)=0atx0=

Q2_1_3 : 60.0 POINTS

The maximum absolute value of the shear stress in the shaft (τmax) and its location (rτmax, xτmax):

τmax=

rτmax=

xτmax=

Q2_1_4 : 100.0 POINTS

The maximum value of the rotation field φ(x) along the shaft (φmax), and the position along the shaft where the maximum rotation occurs (xφmax):

φmax=

xφmax=

- Physics,2.01x -
**superman**, Friday, July 26, 2013 at 12:42pmQ2_1_1

TXC=-t_0*L

Q2=1_2

a) 0<=x<L ===>> (2*t_0*L)/(pi*G_0*R4)

b)L<=x<=3L =>>(2*t_0*(2*L-))/pi*G_0*R^4)

c) x=2*L

- Physics,2.01x -
**access014**, Friday, July 26, 2013 at 11:05pmTXC=-3/2*t_0*L

Q2_1_2:

d*phi/dx = (t_0*L)/(pi*G_0*R^4)

d*phi/dx = (t_0*(3*L-2*x))/(2*pi*G_0*R^4)

x0 = 3/2*L

some one for the rest?

Q2_1_3:

rômax = R

xômax =3*L

- Physics,2.01x -
**ElementarySchoolStudent**, Friday, July 26, 2013 at 11:55pmtau max=(4*t_0*L)/(pi*R^3)

- Physics,2.01x -
**ElementarySchoolStudent**, Saturday, July 27, 2013 at 10:34amThere is a error in tau max

the correct answer is

tau max =(3*t_0*L)/(pi*R^3)

- Physics,2.01x -
**11YearsOldMITStudent**, Saturday, July 27, 2013 at 2:53pmThis is my last chance and I need to see if my calculus is correct.

Is it correct ?

Q2_2_4

vA=-5.82 cm ??

- Physics,2.01x -
**sick yoda**, Sunday, July 28, 2013 at 3:23amQ2_2_4

Yes , it is -5.823 cm

- Physics,2.01x -
**Simon76**, Sunday, July 28, 2013 at 1:01pmQ2_1_4

phi_max = 9/8*t_0*L^2/(pi*G_0*R^4)

x_phi_max = 3/2*L

- Physics,2.01x -
**MAn**, Monday, July 29, 2013 at 1:42pmHelp with the rest

**Related Questions**

MIT 2.01x - The shaft ABC is a solid circular cylinder of constant outer ...

MITx: 2.01x - Q2_1: QUIZ 2, PROBLEM #1 The shaft ABC is a solid circular ...

physics - A hollow steel shaft has an external diameter of 120 mm and is 10 mm ...

Calculus - A solid is formed by adjoining two hemispheres to the ends of a right...

Physics - Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, ...

Physics - In the manufacture of a cam, a uniform solid cylinder of radius R is ...

Statics - A solid, round simply supported steel shaft has a diameter of 25mm and...

Math 117 - 1.) A rectangular solid and a circular cylinder have the same volume ...

Torque and shear stress - A solid shaft of 65mm outside diameter and a hollow ...

Physics - A small metal cylinder rests on a circular turntable that is rotating ...