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 B in counter clockwise direction is applied on the shaft at B . The x-axis passes through the shaft. A force F is applied in the rightward direction on gear B. Distance of F from the center of the gear is 50 millimeter.

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

For equilibrium, the torque acting on gear

B

must satisfy:

$\underset{}{\sum M_{B} = T_{B} -} F \times D_{B} / 2 = 0 ∴ T_{B} = \frac{685 N - m}{100 mm} (50 mm) = 342.5 N - m$

The torque

T_{B}

acting on gear

B

is supplied by shaft

(1)

.