# Homework Help: Angle of twist due to linear varying torque

1. Dec 27, 2009

### Dell

in the following question
http://stommel.tamu.edu/~esandt/Teach/Summer00/CVEN305/Examples/Set3/prob3413.jpg

while G and J are parameters and the moment changes by the function M(x)=t*x
i am asked to find the angle of twist from one end to another

i know

dθ/dx=M/(GJ)

therefore

dθ=M/(GJ)dx

dθ=tx/(GJ)*dx

since t,G,J are independant of X

$$\int$$dθ=t/(GJ)$$\int$$xdx from 0 to L

θ=tL^2/(2GJ)