Section: Solid Mechanics | Marks: 2
A stepped shaft PQR is fixed at both the ends as shown in the figure. A torque $T$ is applied at point Q. The polar moments of inertia of the shafts PQ and QR are $J_1$ and $J_2$ respectively. $G$ is the modulus of rigidity. The angle of twist at point Q due to torque, $T$, is given by (in radians)
- A. $\frac{2}{J_1}\left(\frac{TL}{G}\right)$
- B. $\frac{1}{J_2}\left(\frac{TL}{G}\right)$
- C. $\left(\frac{2}{J_1} + \frac{1}{J_2}\right)\left(\frac{TL}{G}\right)$
- D. $\left(\frac{2}{J_1 + 2J_2}\right)\left(\frac{TL}{G}\right)$