Physics 10th - Simple Machines
Q.1: Define Machine. Write Down the Useful Purposes of Machines.
Ans: Machine: A machine is a device used to perform work in a more convenient way or to speed up work.
OR
A machine can be defined as any device that uses force applied at one point to overcome resistance at another point.
Useful Purposes of Machines:
- To lift heavy loads.
- To increase the rate of doing work.
- To change the direction of force.
- To transfer energy from one point to another.
Q.2: Define the Following Terms:
- Effort
- Load
- Input
- Output
Ans:
Effort (P):
A force directly applied to a machine is called effort. It is denoted by P. Its unit is Newton, and it is a vector quantity.Load (W):
A resistance overcome by a machine is called load. It is denoted by W. Its unit is Newton, and it is a vector quantity.Input:
Input=Effort×Effort Arm Input=P×d
The work done on a machine by the effort. It is the useful energy supplied to the machine, calculated as:
OUTPUT:
The useful work done by the machine on the load is called output. So, the output of the machine is given by:
Output=load×load arm
Output=W×h
Q.3: Define mechanical advantage?
Ans: The ratio between the load lifted and the effort applied is called the mechanical advantage of a machine.
If "W" is the weight lifted by the machine and "P" is the effort applied to the machine, then
Mechanical Advantage=Effort appliedWeight lifted by the machine M.A=PWThe M.A is a ratio between two forces, so it has no unit. It is expressed in numbers.
Q.4: Define efficiency? Write down its formula.
Ans: The ratio between the useful work done by the machine (output) to the work done on the machine (input) is called efficiency.
Efficiency is usually expressed in percentage:
η=P×dW×h×100The efficiency of a real machine is always less than 1. A perfect machine has 100% efficiency or 1. For an ideal machine,
Efficiency=η=1 InputOutput=1So,
Input=OutputQ.5: Write down the kinds of machines?
Ans: In our daily life, we use different kinds of machines as under:
- Lever
- Inclined plane
- Screw
- Screw jack
- Wedge
- Wheel and axle
Q.6: Define lever? Find its mechanical advantage?
Ans: MS. LEVER:
A lever is a rigid bar which rotates about a fixed point called fulcrum.
Mechanical Advantage:
By applying force at one end of a bar, weight can be lifted at the other end. The perpendicular distance between force and fulcrum is called force arm or effort arm, and the perpendicular distance between fulcrum and weight is called weight arm or load arm.
The turning effect of any force is called torque, which is equal to the product of force and perpendicular distance. If the two torques are equal, then the lever is said to be in equilibrium.
Diagram:
A diagram shows a lever with the following labels:
- Weight arm (C to B)
- Effort arm (B to A)
- Centre of gravity
- Fulcrum
Principle of Lever:
When a lever is in equilibrium, then:
From the figure:
P×mAB=W×mBCThus, the mechanical advantage of a lever can be increased by increasing the length of the effort arm to a maximum possible limit and by decreasing the length of the load arm to a minimum possible limit.
Q.7: Write down the kinds of lever?
Ans: There are three kinds of levers depending on the position of the effort, weight, and fulcrum.
Lever of First Kind:
In the lever of first kind, the fulcrum "F" lies between load "W" and effort "P".Examples:
- A common balance
- A pair of scissors
- A seesaw
Lever of Second Kind:
In the lever of second kind, the weight "W" is in between the fulcrum "F" and the effort "P".Examples:
- A nut cracker
- A punching machine
- A door
Lever of Third Kind:
In the lever of third kind, the effort "P" is in between the fulcrum "F" and the weight "W".Examples:
- A pair of forceps
- A human arm
- A fire tongs
Q.8: Define principle of lever?
Ans: The principle of lever can be defined as:
The moment of effort is always equal to the moment of load in every kind of lever.
Moment of effort=Moment of weight Effort×effort arm=Load×load arm P×mAB=W×mBCQ.9: What is an inclined plane and how does it help in doing work?
Ans: INCLINED PLANE:
A surface whose one end is higher than the other end is called an inclined plane.
OR
An inclined plane is actually a rigid plane which is kept inclined to the horizontal at a certain angle.
How It Works:
We have observed that for loading heavy loads on a truck, a long plank of wood is used. Its one end is put on the ground and the other on the body of the truck. It is easier to roll up a heavy object by means of this sloping plank than to lift vertically. This slope is a kind of simple machine called an inclined plane.
Q.10: Determine the mechanical advantage of an inclined plane?
Ans: If a load "W" is pulled along an inclined plane AB, which is inclined at an angle "θ" to the horizontal, the weight of the load acts vertically downwards. In order to raise it to a vertical height "h," the effort "P" has to move distance "l" along the path AB.
Diagram:
The diagram illustrates an inclined plane with:
- AB (Inclined path)
- P (Effort)
- h (Vertical height)
- l (Length of the inclined plane)
- W (Load)
Formulas:
Input=Work done by effort Input=effort×distance Input=P×l Output=Work done in raising the load Output=Load×heightFor an ideal machine, we know:
Input=Output P×l=W×h PW=hl M.A=PW=vertical height of planelength of inclined planeBut from the figure:
hl=sinθ1 M.A of inclined plane=sinθ1The above equation shows that the smaller the value of angle "θ," the greater will be the mechanical advantage.
Q.11: What is a simple pulley?
Ans: A pulley is a wheel with a grooved rim. The wheel is supported in a frame which is called a block. The wheel can turn freely about an axle in the block. It can also be suspended from a fixed beam by means of a hook.
Q.12: Define fixed pulley? Find the mechanical advantage of a fixed pulley?
Ans: FIXED PULLEY:
A pulley whose block is fixed to a strong beam or ceiling and cannot move up and down is called a fixed pulley. OR a fixed pulley has a fixed axle and is used to redirect the force in a rope called a belt.
Mechanical Advantage:
A load or weight "W" is tied at one end of a rope passing over a pulley, while the effort is applied downward at the other end. If the weight of the rope and the frictional forces are negligible, the tension in the rope will remain the same throughout the rope, and hence the effort applied to the rope "P" will be equal to the load lifted "W," and the mechanical advantage of the pulley will be one (1). Mathematically:
Diagram:
The diagram shows a simple pulley system with:
- A (Effort applied)
- B (Pulley)
- W (Load)
For an ideal machine:
Input=Output P×mOA=W×mOB PW=mOBmOABut
mOA=mOB=r ∴PW=rrHence
PW=1The M.A of a fixed pulley is (one).
Q.13: Define movable pulley. Find its mechanical advantage?
Ans: MOVABLE PULLEY:
A pulley whose block is not fixed to a beam or ceiling is called a movable pulley.
Mechanical Advantage:
The weight or load "W" to be lifted is hung from the hook of the block. At every point in the rope, the tension is equal to the applied effort "P". As both ends of the rope are pulling the weight "W" upwards, the effort acting on the weight in the upward direction will be 2P. If we neglect the weight of the rope and friction, then in equilibrium position:
Hence
PW=M.A=2Diagram:
The diagram shows a movable pulley system with:
- A (Pulley)
- B (Load)
- P (Effort applied on both sides)
The M.A of a movable pulley is 2. It means double the load can be lifted with the help of a simple movable pulley as compared to effort.
Q.14: Define Screw Jack. Find its mechanical advantage?
Ans: SCREW JACK:
A screw jack is a simple machine which is commonly used to lift heavy load.
It consists of a long screw rod "R" passing through a threaded block "B" and handle "H" which is called Tommy-bar to turn the threaded block "B." As a result, it rises up and lifts the heavy load.
Mechanical Advantage:
When the handle is turned through one complete revolution in a circle of radius "r," the effort moves through a distance 2πr and the load is raised through a height "h" in this case.
For an ideal machine:
Input=Output ∴P×2πr=W×h PW=h2πr M.A=Height through which the load is raisedDistance through which the effort is movedAs the pitch of the screw is very small as compared to the length of the Tommy-bar, so the mechanical advantage of a screw jack is very large.
Q.15: Define wheel and axle? Find its mechanical advantage?
Ans: WHEEL AND AXLE:
It is a simple machine containing two cylinders of different diameters, connected with a common shaft used for lifting heavy load.
The wheel and axle consist of two cylinders, one of larger radius "R" and the other of smaller radius "r," which are mounted on the same shaft, which is a common axis of rotation. The cylinder with larger radius is called the wheel, while the cylinder with smaller radius is called the axle.
Mechanical Advantage:
When the effort applied turns the wheel through one complete revolution, the axis also turns through one revolution. Thus, in the same interval of time, the effort will move through a distance of 2πR and the load will move through a distance 2πr. If the forces of friction are negligible, then:
Input=effort×effort arm Input=P×2πR Output=Load×load arm Output=W×2πr
For an ideal machine:
Input=Output P×2πR=W×2πr PW=πrπR PW=rR PW=Radius of AxleRadius of Wheel
Q.16: In what ways are a lever, an inclined plane, and a pulley alike?
Ans: All of them are used to lift the load.
Q.17: What type of work is done by a fixed pulley and a movable pulley?
Ans: Both types of pulleys are used for lifting the load.
Q.18: To what kind of lever do the following machines belong? Door, human arm, forceps, seesaw, pair of scissors, hand cart, balance handle of hand pump, upper and lower jaws of mouth?
Ans:
1st Kind of Lever:
- Seesaw, pair of scissors, balance handle of hand pump.
2nd Kind of Lever:
- Door, hand cart.
3rd Kind of Lever:
- Human arm, forceps, upper and lower jaws of mouth.