A force is a physical cause that changes or tends to change the state of rest or uniform motion of a body
Effects of force on a body:
It can change the speed of a moving body
It can change the direction of motion of a moving body
It can make a body move or stop a moving body
It can change the shape and size of a body
Contact forces act on bodies in direct contact, examples include frictional force, normal reaction force, tension force, collision force, and the force applied as a push or pull
Noncontact forces act on bodies without being in contact, examples include gravitational force, electrical force, and magnetic force
Magnitude of noncontact forces depends on the distance of separation of bodies, increasing as the separation decreases and vice versa
SI unit of force is newton (N), where 1N is the force that acts on a body of mass 1kg and produces an acceleration of 1m/s^2 in the direction of the force
CGS unit of force is dyne, where 1 dyne is the force that acts on a body of mass 1g and produces an acceleration of 1cm/s^2 in the direction of the force
Gravitational units of force are kgf and gf, where 1 kgf = 1000 gf = 9.8 N and 1 gf = 980 dyne
Frictional force opposes the relative motion between two surfaces in contact, arising due to the interlocking of irregular projections on the surfaces
Types of frictional force: static friction, kinetic friction, and rolling friction
Factors affecting force of friction:
Materials of bodies
Roughness of surfaces
Weights of bodies
Disadvantages of friction:
Energy dissipates in the form of heat and sound
Causes wear and tear of machine parts
Reduces machine efficiency
May seize moving parts due to excessive heat
Ways to reduce unwanted friction:
Using lubricants
Polishing
Using roller or ball bearings
Streamlining
Advantages of friction:
Enables walking on roads or ground
Allows vehicles to run on roads
Helps in gripping, climbing, sitting, and writing
Essential for rotation of machine parts
Necessary for tying knots and holding objects
Important for billiard shots
Friction can be increased by:
Making surfaces rough
Using dry surfaces
Increasing weight
Translational motion is the motion of a body moving in a straight line in the direction of force
Rotational motion occurs when a body is pivoted at a point and the applied force rotates it about a certain axis
Turning force is the force applied at a point of a fixed body that rotates the body about the fixed point
Moment of force or torque is the turning effect of a force acting on a body about an axis, measured as the product of force and the perpendicular distance from the axis of rotation
SI unit of moment of force (torque) is newton metre (N m), and its CGS unit is dyne cm
Principle of moments states that in equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments about any turning point
Couple is formed by two equal and opposite parallel forces not acting along the same line, creating a turning effect called the moment of couple
Centre of gravity is a point where the entire weight of a body is assumed to act, depending on the body's shape and mass distribution
Uniform circular motion occurs when a body moves on a circular path with constant speed, under the action of a centripetal force directed towards the center of the circle
Centrifugal force is an apparent force that acts outwards on a body moving about a center, caused by the body's inertia and assumed equal and opposite to the centripetal force
Work is done when a force produces a displacement of a body
The amount of work done by a force is equal to the product of the force and the displacement of the point of application of the force in the direction of force
If there is no motion produced in the body even if a force acts on it, the work done is zero
If a force F acts on a body and displaces it at an angle θ to the direction of force, then:
Work done = Force × Component of displacement in the direction of force
Work done by the force of gravity is W = mgh, where m = mass, g = acceleration due to gravity, and h = height from the earth's surface
Work is a scalar quantity and the SI unit of work is joule (J)
Power is the rate of doing work
Power is measured as the amount of work done in one second
Power is a scalar quantity and the SI unit of power is watt (W)
Energy is the capacity of a body to do work
The SI unit of energy is joule and its CGS unit is erg
Kinetic energy is the energy possessed by a body due to its state of motion
Potential energy is the energy possessed by a body due to its position or configuration
The law of conservation of mechanical energy states that potential energy is equal to kinetic energy