Question

In the multiple disc clutch, if there are six discs on the driving shaft and five discs on the driven shaft, then the number of pairs of contact surfaces will be

• A. 12
• B. 11
• C. 10
• D. 9

Hint:

In a multiple disc clutch, the number of contact surfaces is the total number of discs minus 1, or \( n_1 + n_2 - 1 \).

Answer 1

The Correct Option is C

Step 1: Understand the multiple disc clutch.
A multiple disc clutch consists of alternating discs on the driving and driven shafts. The driving shaft has 6 discs, and the driven shaft has 5 discs. The discs interleave, and torque is transmitted through the contact surfaces between adjacent discs. Step 2: Determine the arrangement of discs.
The discs alternate between driving and driven shafts.
With 6 driving discs and 5 driven discs, the total number of discs is:
\[ 6 + 5 = 11. \] The discs are arranged alternately: driving, driven, driving, ..., ending with a driving disc (since there are more driving discs). Step 3: Calculate the number of contact surfaces.
Each pair of adjacent discs forms a contact surface.
With 11 discs, the number of contact surfaces is the number of gaps between them:
\[ \text{Number of contact surfaces} = \text{Total discs} - 1 = 11 - 1 = 10. \] Step 4: Verify the calculation.
Sequence: Driving (1), Driven (1), Driving (2), Driven (2), ..., Driving (6).
Contact surfaces: Between Driving (1) and Driven (1), Driven (1) and Driving (2), ..., Driven (5) and Driving (6).
Total pairs = 10.
Alternatively, in a multiple disc clutch, the number of contact surfaces is given by: \[ n_1 + n_2 - 1, \] where \( n_1 \) and \( n_2 \) are the number of discs on the driving and driven shafts: \[ 6 + 5 - 1 = 10. \] Step 5: Select the correct answer.
The number of pairs of contact surfaces is 10, matching option (3).