Give the following problem a try. If you get stuck, here is one way to work it: Essential

Solution Video. What is the torque magnitude, $T_B,$ acting on gear $B?$

please solve all $10$ parts seen in the images.

$T_B=,N*m$

Part $3$

What is the torque magnitude, $T_C,$ applied to gear $C?$

$T_C=$

$N*m$

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Part $4$

What is the torque magnitude, $T_D,$ acting on gear $D?$

$T_D=$

$N*m$s Part $5$

What are the internal torques, $T_1$ and $T_2,$ acting in shafts $(1)$ and $(2),$ respectively? While torque magnitudes

were determined in the previous steps, in this case, enter the internal torques with the correct sign based on

the internal torque sign convention in Section $6\mathrm{.}6.$

$T_1=,N*m$

$T_2=,N*m$

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Attempts: unlimited

Part $6$

Calculate $J_1$ and $J_2,$ the polar moments of inertia of shafts $(1)$ and $(2),$ respectively.

$J_1=m{m}^4$

$J_2=m{m}^4$

eTextbook and Media Determine the maximum shear stress magnitude produced in shafts $(1)$ and $(2).$

${}_1=$

${}_2=,$MPa

$,$MPa

eTextbook and Media $$

Attempts: unlimited

Part $8$

Determine the angles of twist, ${}_1$ and ${}_2,$ in shafts $(1)$ and $(2),$ respectively. Use the sign convention for angles of twist presented in Section $6\mathrm{.}6.$

${}_1=$

rad

${}_2=$

rad Determine the rotation angles, ${}_B$ and ${}_C,$ of gears $B$ and $C,$ respectively, with respect to flange $A.$ Use the sign

convention for rotation angles presented in Section $6\mathrm{.}6.$

${}_B-{}_A=,$rad

${}_C-{}_A=,$rad

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Attempts: unlimited

Part $10$

Determine the rotation angle, ${}_D,$ of gear $D$ with respect to flange $A.$ Use the sign convention for rotation

angles.

${}_D-{}_A=,$rad

The motor shown in the figure supplies $13\mathrm{.}0$ kW at $1740$ rpm at $A.$ Shafts $(1)$ and $(2)$ are each solid $32$ mm diameter

shafts. Shaft $(1)$ is made of an aluminum alloy $[G=26$GPa, and shaft $(2)$ is made of bronze $[G=45$GPa. The

shaft lengths are $L_1=3\mathrm{.}3m$ and $L_2=2\mathrm{.}5m,$ respectively. Gear $B$ has $55$ teeth, and gear $C$ has $94$ teeth. The

bearings shown permit free rotation of the shafts. Determine:

$($a$)$ the maximum shear stress produced in shafts $(1)$ and $(2).$

$($b$)$ the rotation angle of gear $D$ with respect to flange $A.$

Part $1$

Determine the torque magnitude, $T_A,$ acting on flange $A.$

$T_A=$