Single Choice

Three concurrent forces of the same magnitude are in equillibrium. What is the angle between the force? Also name the triangle formed by the force as sides

A$$\;60^{\circ}$$ equilateral triangle
B$$\;120^{\circ}$$ equilateral triangle
Correct Answer
C$$\;120^{\circ},30^{\circ},30^{\circ}$$ an isosceles triangle
D$$\;120^{\circ}$$ an obtuse angled triangle

Solution

The concurrent forces always passing through a common point.
According to Lami's theorem , $$\dfrac{C}{\sin a}=\dfrac{B}{\sin b}=\dfrac{A}{\sin c}$$
As the magnitude of forces are same so: $$A=B=C$$
Thus, $$a=b=c$$
Also, $$a+b+c=360^o$$ or $$a=b=c=360/3=120^o$$
As all forces same magnitude and same angle between them so it will make equilateral triangle.

SIMILAR QUESTIONS

If $$R=\left\{\left(x,y\right):y=2x\right\}$$ is a relation in $$A=\left\{1,2,3,4,6,7,8\right\}$$ then write all the elements of $$R$$

Let $$X=\left\{1,2,3,4\right\}$$.Determine whether $$f=\left\{\left(1,1\right),\left(2,3\right),\left(3,4\right),\left(4,1\right)\right\}$$ are functions from $$X$$ to $$X$$

Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$B \cap C$$

If $$A = $${1,4,6}, $$B = $${3,6}, then find $$(A \cap B)$$

Find the number of whole numbers in the solution set of following $$x - 5 <-2$$

Find the solution of the following: If $$5x + 4 > 8x - 11$$, then $$x

Say true or false. The A.M. between $$(a-b)^2$$ and $$(a+b)^2$$ is $$a^2+b^2 $$.

Given a line I and a point P on it. How many lines can be drawn passing through the point P?

If lines $$l_1\, \perp\, l_2$$ and the the slope of $$l_1$$ is $$\dfrac{1}{2}$$, then the the slope of $$l_2$$ is .......... .

Contact Details