Two forces of 2N and 4N are acting in opposite direction what will be its resultant force?
Answers
Answer:
We firstly find the horizontal and vertical component of each of the forces.
P
1
=2cos30
o
i
^
+2sin30
o
j
^
=1.732
i
^
+
j
^
P
2
=3cos60
o
i
^
+3sin60
o
j
^
=1.5
i
^
+2.59
j
^
P
3
=4cos90
o
i
^
+4sin90
o
j
^
=4
j
^
P
4
=5cos120
o
i
^
+5sin120
o
j
^
=−2.5
i
^
+4.33
j
^
For X−component
F
X
=(1.732+1.5−2.5)=0.732
i
^
(N)
For Y−component
F
Y
=(1+2.59+4+4.33)=11.92
j
^
(N)
F
Resultant
=0.732
i
^
(N)+11.92
j
^
(N)
Answer:
2N will be the resultant force acting on the object.
Explanation:
- A force can be defined as a push or a pull that can cause a stationary object to move, a moving object to slow down or stop or change its direction of motion.
- Force is a vector quantity; it has both direction and magnitude. The SI unit of force is newton (N) and is represented by the symbol F.
- Force acting on a body can be given by
F = m X a
F is the force, m is the mass, and a is the acceleration of a body.
- There can be two types of forces that can act on a body. These are:
1. Balanced forces : - When two equivalent forces act in opposite directions.
2. Unbalanced forces: - When two forces acting on a surface are unequal in magnitude and size.
When the two forces acting on an object are 4N and 2N, We know that this is an example of unbalanced force , as the force with 4N magnitude is greater than the force with Magnitude 2N. The resultant force will be: -= 4N + (-2)N as the 2 forces are in opposite directions.
= 2N