(A) When $N$ forces of equal magnitude act on a single point and their resultant is zero,the angle $\theta$ between any two forces is given by:$\theta

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$120^\circ$,equilateral triangle

(A) When $N$ forces of equal magnitude act on a single point and their resultant is zero,the angle $\theta$ between any two forces is given by:$\theta = \frac{360^\circ}{N} = \frac{360^\circ}{3} = 120^\circ$If these three vectors are represented by the three sides of a triangle placed head-to-tail,they form a closed loop. Since the magnitudes are equal and the angles between the vectors are $120^\circ$,the internal angles of the triangle formed by these vectors will be $60^\circ$ each,resulting in an equilateral triangle.

Class 11 Physics Newton's Laws of Motion and Friction The Common Forces and Equilibrium of Concurrent Forces

Medium

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

A
$120^\circ$,equilateral triangle
B
$60^\circ$,equilateral triangle
C
$120^\circ, 30^\circ, 30^\circ$,an isosceles triangle
D
$120^\circ$,an obtuse angled triangle

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Newton's Laws of Motion and Friction

Subtopic

The Common Forces and Equilibrium of Concurrent Forces

$A$ rod $(AB)$ is attached to a fixed point $(C)$ using a light rope $(AC)$. The other end of the rod $(B)$ is resting on ice with negligible friction,and the system is in a stationary position. Which of the following can be the equilibrium configuration of this system?

Medium

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$A$ mass of $10\,kg$ is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point,the rope deviates at an angle of $45^o$ from the vertical. If the suspended mass is at equilibrium,the magnitude of the force applied is .......... $N$ $(g = 10\,ms^{-2})$.

MediumJEE MAIN 2019

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$A$ $100 \ N$ weight is suspended in a corner of a room by two cords $A$ and $B$ as shown in the figure. The tension in the horizontal cord $A$ is ............ $N$.

Medium

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$A$ flexible chain of weight $W$ hangs between two fixed points $A$ and $B$ which are at the same horizontal level. The inclination of the chain with the horizontal at both the points of support is $\theta$. What is the tension of the chain at the mid-point?

Difficult

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$A$ mass $M \text{ kg}$ is suspended by a weightless string. The horizontal force required to hold the mass at $60^{\circ}$ with the vertical is

MediumTS EAMCET 2014

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

Similar Questions

$A$ rod $(AB)$ is attached to a fixed point $(C)$ using a light rope $(AC)$. The other end of the rod $(B)$ is resting on ice with negligible friction,and the system is in a stationary position. Which of the following can be the equilibrium configuration of this system?

$A$ $100 \ N$ weight is suspended in a corner of a room by two cords $A$ and $B$ as shown in the figure. The tension in the horizontal cord $A$ is ............ $N$.

$A$ flexible chain of weight $W$ hangs between two fixed points $A$ and $B$ which are at the same horizontal level. The inclination of the chain with the horizontal at both the points of support is $\theta$. What is the tension of the chain at the mid-point?

$A$ mass $M \text{ kg}$ is suspended by a weightless string. The horizontal force required to hold the mass at $60^{\circ}$ with the vertical is

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