Menu Close

Question 3: The resultant of two forces, one is double than the other, is perpendicular to the smaller force. What is angle between two forces?

Answer

resdouble
Let two forces vecf1and vecf2are acting with one another according to the conditions of the problem, i-e,

(1) The magnitude of vecf2 is double the magnitude of vecf1.

(2) The resultant of both forces is perpendicular to the smaller force, i-e, vecf1.

(3) These situations are shown in the diagram.

Now, to the right-angled triangle, apply the Pythagoras theorem,

pythgorous

So Θ = 60°

As the angle between two vectors is determined by putting them tail to tail, therefore, looking at the figure above and using geometry, the angle between the two forces must be 90 + 30 = 120 degrees.

3 Comments

  1. Pingback:Index Conceptual Questions, Vectors and Equilibrium … msa – msa

  2. Pingback:Minimum number of unequal vectors which results in null vector … msa – msa

  3. Pingback:How cranes lift heavy loads without toppling. – msa

Leave a Reply

Your email address will not be published. Required fields are marked *