“A machine is a device by means of which useful work can be performed conveniently and it can also transfer one form of energy into another form of energy”.
The ratio between the resistance or weight to the power applied in a machine is called the mechanical advantage of that machine. It is denoted by M.A.
M.A. = Weight over-comed by Machine/ Force Applied on the Machine
The ratio between the useful work done and the work done on the machine is called efficiency.
M.A = (output/Input) * 100
Input is the work done on the machine.
Output is useful work done by the machine.
Lever is the simplest machine in the world. It is a rigid bar, which can be rotated about a fixed point.
Principle of Lever:
In the lever the moment P acts opposite to that of work W. It means that force F tends to rotate the lever in one direction which the weight W rotates in opposite direction. If the magnitude of these moments acting in opposite direction is equal, then the lever will be in equilibrium. It means that:
Moment of P = Moment of W
We know that according to Principle of Lever:
Moment of P = Moment of W
=> Force * Force Arm = Weight * Weight Arm
P * AB = W X BC
AB/BC = W/P
M.A = W/P = AB/BC = Weight Arm/ Force Arm
Kinds of Lever
1. First Kind of Lever
In the first kind of lever, the fulcrum F is in the between the effort P and Weight W.
- Physical Balance
- Handle of Pump
- Pair of Scissors
- See Saw
2. Second Kind of Lever
In the second kind of lever, the weight W is in between the fulcrum F and effort P.
- Nut Cracker
- Punching Machine
3. Third Kind of Lever
In the third kind of lever, the effort P is in between the fulcrum F and weight W.
- Human forearm
- Upper and Lower Jaws in the Mouth.
- A Pair of Forcipes
A heavy load can be lifted more easily by pulling it along a slope rather than by lifting in vertically. Such a slope is called an Inclined Plane.
M.A = W/P = l/h = Length of Inclined Plane/Perpendicular Height
A pulley consists of a wheel mounted on an axle that is fixed to the framework called the block. The wheel can rotate freely in the block. The groove in the circumference prevents the string from slipping.
If the block of the pulley is fixed then it is called a fixed pulley.
Mechanical Advantage of Fixed Pulley
In a fixed pulley, the force P is the applied force and weight W is lifted. If we neglect the force of friction then:
Load = Effort
In the given case:
Load = W * Load Arm
Load = W * OB
Effort = P * Effort Arm
Effort = P * OA
W*OB = P*OA
=> W/P = OA/OB
But, OA = OB, then
M.A = W/P = OB/OB
M.A = 1
In this pulley, one end of the rope that is passing around the pulley is tied to a firm support and effort P is applied from its other end. The load and weight to be lifted is hung from the hook of block. In this system, the pulley can move. Such a pulley is called moveable pulley.
Mechanical Advantage of Moveable Pulley
In an ideal system of a moveable pulley, the tension in each segment of the rope is equal to the applied effort. As two segments support the weight, the effort acting on the weight W is 2P. Therefore, according to the principle of lever:
W * Radius of the Wheel = 2P * Radius of the Wheel
=> 2P = W
The Mechanical Advantage is given by:
M.A = W/P
M.A = 2P/P
=> M.A = 2
Hence, the mechanical advantage of a moveable pulley is 2.