MecMovies 4.0 : M6.13: Two Shafts Connected by Gears

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Diagram shows a gear B, with 100 millimeter diameter, is placed above the gear C with 200 millimeter diameter. A shaft passes through gear C. A torque T in counter clockwise direction is applied on the shaft at D, a torque T subscript c in counter clockwise direction is applied on the shaft at C . The x-axis passes through the shaft. A force F is applied in the rightward direction on gear C. Distance of F from the center of the gear is 100 millimeter.

The external torque $T = 685 N - m$ applied to shaft $(2)$ creates the following torques in the system:

Gear

B' s

teeth exert a force

F

on gear

C

. For gear

C

to be in equilibrium, the force

F

exerted by gear

B

must satisfy:

$\underset{}{\sum M_{c} = T_{C} -} F \times D_{C} / 2 = 0 ∴ F = \frac{685 N - m}{100 mm}$