0 0 votes A pinion with radius $r_1$, and inertia $I_1$ is driving a gear with radius $r_2$ and inertia $I_2$. Torque $\tau _1$ is applied on pinion. The following are free body diagrams of pinion and gear showing important forces ($F_1$ and $F_2$) of interaction. Which of the following relations hold true? $F_1\neq F_2;$ $\tau _1=I_1\ddot{\theta _1}$; $F_2=I_2\dfrac{r_1}{r_2^2}\ddot{\theta _1}; \\$ $F_1=F_2$; $\tau _1= \big [ I_1+I_2 \left (\dfrac{r_1}{r_2} \right )^2 \big ]\ddot{\theta _1}$; $F_2=I_2\dfrac{r_1}{r_2^2}\ddot{\theta _1}; \\$ $F_1=F_2;$ $\tau _1=I_1\ddot{\theta _1}$; $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1}; \\$ $F_1\neq F_2$; $\tau _1= \big [I_1+I_2 \left (\dfrac{r_1}{r_2} \right )^2 \big ]\ddot{\theta _1}$; $F_2=I_2\dfrac{1}{r_2}\ddot{\theta _1};$ Applied Mechanics and Design gateme-2015-set1 applied-mechanics-and-design theory-of-machines gears-and-gear-trains + – ♦Arjun 254 views answer comment Share Follow Add Sync Questions 0 reply Please log in or register to add a comment.
