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November 20, 2024Have you ever been a part of the tug of war? What happens is all players are divided into two teams. Each team is asked to stand on either side of a rope. A ribbon is tied in the middle of the rope, and the team that can pull the rope towards its side and get the ribbon wins.
Once players of both teams take their positions, the game starts. The ribbon stays in the middle as long as both sides apply the same force to the rope. To win the game, a team will have to apply a force greater than the force applied by the opposite team and pull the rope strongly towards its side. Let us read further to understand how these equal and unequal forces work and the balance or imbalance created by the application of forces.
Forces are everywhere around us. From lifting a small pen to kicking a ball, everything involves a force. Forces are needed to move, shift, rotate, turn, stop, catch, drag or drop. 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. Examples of force are the friction force that helps us move or gravity, which causes all objects to fall towards the earth’s surface.
Force is a vector quantity; it has both direction and magnitude. Like any other vector quantity, Forces acting on an object can be represented by arrows. The length of the arrow represents the magnitude of the force and the head of the arrow points in the direction of the force. Thus, by using the arrows, we can determine the resultant force and the direction of the force.
The SI unit of force is newton \((\rm{N})\) and is represented by the symbol \(F\).
Mathematically, the force acting on a body can be given as \(F = m \times a\)
Here, \(F\) is the force, \(m\) is the mass, and \(a\) is the acceleration of a body.
Forces acting on an object can be balanced or unbalanced.
A body can experience more than one force at a given time. In fact, there are at least two or more forces acting on any surface most of the time. For example, when we throw a ball upwards, the ball will experience the force of our hand, downwards force of gravity, the force of air resistance and friction due to air. Depending on the net force acting on a body due to the application of these forces, there are two possible categories of forces that can act on a given object. These are:
The effect of these forces on a surface is different. Let us see how each of these forces work.
When forces applied to a body are equal in magnitude but in the opposite direction, the type of net force that acts on the body is termed Balanced Force. In simple words, a balanced force is a force where two equal forces act on a body in exactly reverse directions.
Under the impact of a balanced Force, a body continues to be in its position, i.e. it may be continuously moving with the same speed and in the same direction, or it may be stationary in its position. Thus, when balanced force is applied to a body, then the body doesn’t support the motion. Instead, distortion of the body can happen.
A rigid body (if we ignore deformations and rotation) on which balanced forces are acting behaves as if no forces were acting on it. Thus, when subjected to a balanced force:
The balanced forces acting on a body are of the same magnitude, but their direction is opposing, so the net force will be obtained by subtracting the two forces will be zero.
When an unequal amount of force is applied to the body in the same or opposite direction, this type of force is termed Unbalanced Force. Thus, in simple terms, a force is said to be unbalanced if it consists of two forces acting in opposing directions on a body that are not equal in magnitude and size. When unbalanced force is applied to a body, there is a change in the body’s state of motion and the direction in which the magnitude of the force is greater. Thus, under the effect of an unbalanced force, a body changes its state of motion, i.e. we can observe a change in direction, or an increase in the speed or decrease in the speed of a moving object and an object at rest starts to move, or a moving object may come at a halt in the direction.
Thus, when an unbalanced force acts on a body, the following few cases are possible:
The unbalanced forces acting on an object are added if the forces acting on the object are in the same direction and subtracted if the forces acting on the object are in the opposite direction.
Question: Consider a body initially at rest. A force of \(80\;\rm{N}\) is applied to the body towards the right side, while \(240\;\rm{N}\) is applied towards the left side. Calculate the net force on the body and the direction of the net force.
Solution: Net Force \(=\) Force towards the left side \(–\) Force towards the right side
\(= 240\;\rm{N} – 80\;\rm{N}\)
\(= 160\;\rm{N}\)
Direction Of Force: Left side (As Larger Amount Of Force Is Applied On The Left Side Of The Body)
Question: What will be the net force acting on the block given below:
Solution: The forces acting on the block are on opposite sides; the net force acting on the bloc is:
\(25\;\rm{N} – 25\;\rm{N} = 0\;\rm{N}.\)
The forces acting on the block are balanced.
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. Depending on the net force acting on a body due to the application of these forces, there are two possible categories of forces that can act on a given object. These are:
Q.1. What is a force?
Ans: A force can be defined as a push or a pull that may deform an object, or change the direction of an object’s motion or change the speed of a moving object, or start the motion of an object at rest or stop the motion of an object moving.
Q.2. What is a balanced force?
Ans: A force that does not cause a change in the motion of a body is known as a balanced force.
Q.3. What is an unbalanced force?
Ans: A force that causes a change in the motion of a body is known as an unbalanced force.
Q.4. What type of force acts on a ball when it is thrown towards the batsman by a bowler?
Ans: The forces acting on the ball are unbalanced.
Q.5. What is the resultant force on a body acting under the effect of balanced forces?
Ans: The resultant force on a body acting under the effect of balanced forces is always zero.
Study Work Done by Variable Force
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