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In the above diagram MN is perpendicular to ON and MP…

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In the above diagram MN is perpendicular to ON and MP. What is the difference between the moment

In the above diagram MN is perpendicular to ON and MP. What is the difference between the moment about N of the force of 20 Newtons applied along MP and its moment about O?

A. zero

B. 0.2N.m

C. 0.4N.m

D. 0.8N.m

QUICK ANSWER…

A

DETAILS…  

Recall, moment = force x perpendicular distance

If a force of 20N is applied along MP, then:

Moment of this force about N = 20 x MN

Now, using Pythagoras theorem to find MN, we have:

In the above diagram MN is perpendicular to ON and MP. What is the difference between the moment

Moment about O = 20N x 0.4 = 8N.m

Hence, the difference between the two moments will be = 8 – 8 = 0

Now for the right answer to the above question:

  1. A is the right answer. the both moments are the same.
  2. B is incorrect.
  3. C is incorrect.
  4. D is incorrect.

KEY-POINTS…

You may please note this/these:

  • Moment = force x perpendicular distance.
  • For the both cases, the perpendicular distances of the force from N and O are the same.

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/ culled from 2020 JAMB-UTME physics past question 10 /

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