Three forces act on a particle and keep it at rest it is possible to h...
To keep a particle at rest, the net force acting on it must be zero. This means that the vector sum of all the forces acting on the particle must add up to zero. Let's analyze the given options to see which ones are possible.
A) All the forces acting Eastward:
If all the forces are acting in the same direction (Eastward), their magnitudes must be equal in order to balance each other. However, this scenario will result in a net force in the Eastward direction, causing the particle to move. Therefore, it is not possible to have all the forces acting Eastward and still keep the particle at rest.
B) Two forces acting Eastward and one acting Northward:
In this case, the two Eastward forces can cancel each other out if they have equal magnitudes. Additionally, the Northward force should have a magnitude equal to the resultant of the two Eastward forces. This will create a balanced system with zero net force, allowing the particle to remain at rest. Therefore, it is possible to have two forces acting Eastward and one force acting Northward to keep the particle at rest.
C) One force acting Eastward and two forces acting Westward:
In this scenario, the two Westward forces can cancel each other out if they have equal magnitudes. However, the Eastward force will still have an unbalanced magnitude. Therefore, this configuration will result in a net force in the Eastward direction, causing the particle to move. Hence, it is not possible to have one force acting Eastward and two forces acting Westward while keeping the particle at rest.
D) One force acting Eastward, one force acting Westward, and one force acting Southward:
Similarly, the Eastward and Westward forces can cancel each other out if they have equal magnitudes. However, the Southward force will still have an unbalanced magnitude. This will result in a net force in the Southward direction, causing the particle to move. Therefore, it is not possible to have one force acting Eastward, one force acting Westward, and one force acting Southward while keeping the particle at rest.
In conclusion, the only possible configuration to keep a particle at rest is to have two forces acting Eastward and one force acting Northward.
Three forces act on a particle and keep it at rest it is possible to h...
Option (D) is right.
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.