Question

Calculate the force which will produce a moment of 60 Newton metre when the perpendicular distance between the point of application of force and the fixed point is 60 CM

Answer 1

Answer:

F = 100 N

Explanation:

tau = 60 Nm                  r = 0.6 m

tau = r F

60 = 0.6 F

F = 60 / 0.6

F = 100 N

Answer 2

The force required is 100 N.

Given: The magnitude of the moment of force = 60 N.m

The perpendicular distance between the point of application of force and the fixed point is 60 cm

To Find: The magnitude of force.

Solution:

• The turning effect of force is known as the moment of force. It is the product of the force multiplied by the perpendicular distance between the line of action of force and the fixed point.
• The formula for calculating the moment of force is given by;

         Moment of force = r × F sin Ф                                    .....(1)

Where r = perpendicular distance, F = force applied, Ф = angle between the point of application of force and the fixed point.

Coming to the numerical, we are given;

 The magnitude of the moment of force = 60 N.m

 The perpendicular distance = 60 cm = 0.6 m

Putting respective values in (1), we get;

       Moment of force = r × F sin Ф      

  ⇒  60 = 0.6 × F sin 90°                     [sin 90° = 1 ]

  ⇒  F  = 60 / 0.6

  ⇒  F = 100 N

Hence, the force required is 100 N.

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