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Friday, September 21, 2018

In a machine, many couples act on a rotating object as shown. What is the resultant torque acting on the rotating object?


Question 11
In a machine, many couples act on a rotating object as shown.


What is the resultant torque acting on the rotating object?
A 4.7 N m                    B 8.6 N m                    C 9.3 N m                   D 17.1 N m





Reference: Past Exam Paper – June 2017 Paper 12 Q11





Solution:
Answer: C.

Torque of a couple = force × perpendicular distance between the 2 forces

The torque may be clockwise or anticlockwise.

Clockwise torque is due to: 30 N force

Anticlockwise torque is due to: 50 N, 16 N and 25 N forces

Clockwise torque = 30 × (6.5×2) = 390 Ncm

Anticlockwise torque = (50×4.0×2) + (16×10×2) + (25×12×2) = 1320 Ncm

Resultant torque = 1320 – 390 = 930 Ncm = 9.3 Nm

9 comments:

  1. why did u multiply 2 in each torque for e,g 30*(6.5*2), Where did this 2 come from

    ReplyDelete
    Replies
    1. because of the couples. that is, each of the forces occur in pair

      Delete
  2. Explain in brief why multiplied by 2

    ReplyDelete
    Replies
    1. because the forces form a couple. so, we take the distance between the 2 forces. this is twice the distance from the centre

      Delete
  3. not understand why we not direct multiply forces with distances.

    ReplyDelete
    Replies
    1. as explained in the comment above,
      because the forces form a couple. so, we take the distance between the 2 forces. this is twice the distance from the centre

      Delete
  4. not understand why we not direct multiply forces with distances.

    ReplyDelete
    Replies
    1. this can also be done but the workings would be too lengthy

      Delete

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