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Downward Force is the result of the gravitational pull of the earth on a roller placed on an inclined plane. Angle of Inclination affects the magnitude of the downward force. This force acts along the plane, perpendicular to its surface.
Relationship between Angle of Inclination and Downward Force can be expressed mathematically as
| W = mg sinθ |
Understanding the relationship of Downward Force and Angle of Inclination is important in various fields such as Mechanics, Physics and Engineering.
Key Terms: Downward Force, Angle of Inclination, Force, Gravitational Force, Gravity, Center of Mass, Inclined Plane
What is Gravitational Pull
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Gravity is a force that pulls every object downward toward the center of the earth. Gravity is stronger for objects with more mass. All things are attracted to one another due to gravity which is a universal force.
- Gravitational pull is the force of attraction between two masses.
- It is the result of the attraction between the mass of two objects and the distance between them.
- The strength of the gravitational pull is determined by the mass of the objects and the distance between them.
- Gravitational pull is responsible for holding planets in orbit around the sun and for keeping objects on the surface of the earth.
- The concept of gravitational pull was first described by Sir Isaac Newton in his Universal Law of Gravitation.
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Aim
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To find Downward Force along Inclined Plane on a Roller due to Gravitational Pull of the Earth and its Relationship with the Angle of Inclination by plotting graph between force and sin θ.
Apparatus/ Materials Required
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- Inclined Plane With Protractor And Pulley
- Weight Box
- Roller
- Spirit Level
- Spring Balance
- Pan and Thread
Principle
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- One can see a roller with mass M1 placed on an inclined plane making an angle θ with the horizontal.
- It generates an upward force that moves the body higher along the incline. The body constantly modifies the weights that are hanging.
- A pulley fixed at the top of the plane connects the one end of the string to the mass.
Experimental Setup
Force on the mass M1 when moving with a constant velocity v is given as:
W = M1g sinθ – Fr
Where
- W = Total Tension in the String (W = Weight Suspended)
- M1 = Mass of the Roller
- Fr = Force of Friction Due to Rolling
Procedure
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- Step 1: Make a plane that is inclined in some way. Arrange all necessary items, such as masses and a roller.
- Step 2: Set up a pulley and make it frictionless. When necessary, consider utilizing a machine to grease the pulley.
- Step 3: Now, adjust the suspended W such that the roller stays at the top of the plane when at rest.
- Step 4: Next, start decreasing the mass in the pan slowly until the roller starts moving down the plane with a constant velocity.
- Step 5: Write down the values of W and angle θ.
- Step 6: Repeat Steps 3, 4, and 5 for different values of θ and tabulate the observations.
Observation
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- Mass of the Roller = M1g
- Mass of the Pan = M2g
- Acceleration due to Gravity = …..N/m²
| S. No | θ0 | Sinθ | Mass added to Pan M3 | Force, W = (M2 + M3)g N |
|---|---|---|---|---|
| 1 | ||||
| 2 | ||||
| 3 |
Plotting Graph
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Plot the graph between sinθ and the force W and it should be a straight line.
Graph between sinθ and W
Result
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Within experimental error, downward force along an inclined plane is directly proportional to sin θ, where θ refers to the angle of inclination of the plane.
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Viva Voice
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Ques. What is the relationship between the Downward Force and the Angle of Inclination?
Ans. Relationship between Downward Force and Angle of Inclination is given as W = mg sinθ. For a constant mass m, W ∝ Sinθ.
Ques. Who discovered Gravity?
Ans. The idea of Gravity was discovered by Sir Isaac Newton.
Ques. Define Inclined Plane.
Ans. Inclined Plane is defined as a wooden plane on which a glass sheet is placed to make the surface smooth. Inclined Plane makes an angle θ with the horizontal ground.
Ques. Name the Normal Reaction on Inclined Plane.
Ans. The Normal Reaction on Inclined Plane is given as mgcosθ.
Ques. State a few uses of of Inclined Plane.
Ans. Some uses of Inclined Plane are:
- Ramp of the Houses
- Principle of Inclined Plane is used in Ladders
- Plank put at the Back of a Truck to load and unload Heavy Goods.
Things to Remember
- Gravitational Pull is the force of attraction that the earth exerts on an object or that an object exerts on the earth.
- Gravitational Pull of the earth on a specific body is referred to as its weight.
- Downward Force is an outcome of the gravitational pull of the earth on a roller placed on an inclined plane.
- The magnitude of downward force is affected by the Angle of Inclination.
- Relationship between Angle of Inclination and Downward Force is given as W = mg sinθ.
Sample Questions
Ques. How to define an Inclined Plane? (5 Marks)
Ans. Inclined plane is a flat surface that is set at an angle to the horizontal. It is used to change the direction or height of a force applied to an object. Inclined planes can be made of various materials such as wood, metal, or plastic.
- An inclined plane is a simple machine that makes it easier to lift or move an object by reducing the force needed to lift it.
- The angle of the plane affects the amount of force required to lift an object and the distance over which the force is applied.
- Inclined planes are commonly used in mechanical devices such as ramps, conveyor belts, and escalators.
- They also have a variety of everyday applications, including bridges, loading docks, and wheelchair ramps.
- The use of an inclined plane can reduce the amount of work required to move an object, as well as reduce the stress placed on the object being lifted.
- In physics, the inclined plane is used to study the laws of motion, friction, and other fundamental concepts.
Ques. What are the uses of the Inclined Plane? (5 Marks)
Ans. An inclined plane is a simple machine used to reduce the force required to lift an object or change its direction or height. The uses of the inclined plane are many and varied, including:
- Ramps: Used for loading and unloading goods, accessing buildings for people with mobility issues, or for vehicles.
- Conveyor Belts: Used in manufacturing and transportation to move goods from one place to another.
- Escalators: Used to move people vertically in buildings.
- Bridges: Some bridges use inclined planes to cross valleys or other obstacles.
- Loading Docks: Used to move goods from a truck or container to a storage area.
- Wheelchair Ramps: Used to provide access for people in wheelchairs to enter buildings.
- Playgrounds: Some playground equipment, such as slides, use inclined planes.
- In physics and engineering, inclined planes are used to study the laws of motion, friction, and other fundamental concepts.
Ques. Is there any relation between the Downward Force and Angle of Inclination of the plane? (5 Marks)
Ans. Yes, there is a relationship between the downward force and the angle of inclination of the plane. The downward force exerted on an object on an inclined plane is dependent on the angle of inclination and the weight of the object.
- The steeper the angle of inclination, the greater the downward force.
- The angle of inclination also affects the horizontal component of the force, which is the force that moves the object along the plane.
- A steeper angle of inclination means that more force is required to move an object along the plane, but the object will move a shorter distance.
- The horizontal force can be calculated using the equation: Horizontal Force = Weight * cos(angle of inclination).
- The vertical force can be calculated using the equation: Vertical Force = Weight * sin (angle of inclination).
- It is important to note that the angle of inclination also affects the amount of friction between the object and the plane.
- The steeper the angle of inclination, the greater the frictional force that must be overcome in order to move the object along the plane.
Ques. What are the normal reactions on the Inclined Plane? (2 Marks)
Ans. Inclined plane has a typical reaction, which is described as being mg cos θ. These are the ideas behind an inclined plane and how it responds to an angle. The inclined plane has a typical reaction, which is described as being mg cos θ. These are the ideas behind an inclined plane and how it responds to an angle.
Ques. Calculate the Amount of Force Applied Over a Body that has a Mass of 15 kg and Traveling with an Acceleration of 3 m/s². (2 Marks)
Ans. Given that,
- Mass of the Body = 15 kg
- Acceleration of the Body = 3 m/s²
So, the formula for the force is F = ma = 15x3 = 45 Newton
Ques. How is gravity affected by slope angle? (2 Marks)
Ans. The normal force diminishes as the slope rises, whereas the shear force rises accordingly. The force of gravity (fg) remains constant. The force vectors in the illustration alter as the slope angle does. Although the gravitational force remains constant, the shear force rises while the normal force falls.
Ques. What is the Angle of Inclination in Physics? (2 Marks)
Ans. The orbital data of a satellite is described using the angle of inclination. The angle formed by the equatorial plane of the earth and the satellite's orbital plane is known as an angle of inclination.
Ques. What is the effect of the inclination? (2 Marks)
Ans. The cyclical change of seasons is caused by the Earth's axis' 44° tilt, or inclination, to its orbital plane. This tilt causes higher heating and longer daylight hours in one hemisphere over a year.
Ques. What is the relation between Slope and Gravity? (5 Marks)
Ans. The slope of an inclined plane and gravity are related because the slope determines the amount of gravitational force acting on an object. The slope of an inclined plane affects the vertical component of the force that acts on an object, which is equal to its weight multiplied by the sine of the angle of inclination.
- The steeper the slope, the greater the vertical component of the force and the greater the gravitational force acting on an object.
- The horizontal component of the force is also affected by the slope and is equal to the weight of the object multiplied by the cosine of the angle of inclination.
- A steeper slope will result in a greater horizontal component of the force, making it more difficult to move an object along the plane.
- The amount of friction between the object and the plane also depends on the slope, with a steeper slope resulting in greater frictional force that must be overcome.
- The relationship between slope and gravity is important in many practical applications, such as the design of ramps, bridges, and other structures that must support heavy loads.
- In physics, the connection between slope and gravity is used to study the laws of motion, work, and energy.
Ques. How does the Angle of Inclination affect force? (5 Marks)
Ans. Angle of Inclination affects the force acting on an object on an inclined plane. The steeper the angle of incline, the greater the vertical component of the force acting on the object, which is proportional to the weight of the object and the sine of the angle of incline.
- The component of force perpendicular to the incline drops and the component of force parallel to the incline grows as the angle increases.
- The acceleration is brought on by the weight vector's parallel component. As a result, accelerations are higher at steeper inclination angles.
- The angle of incline also affects the amount of friction between the object and the plane.
- The steeper the angle of incline, the greater the frictional force that must be overcome in order to move the object along the plane.
- The relationship between angle of incline and force is important in many practical applications, such as the design of ramps, bridges, and other structures that must support heavy loads.
- In physics, the relationship between angle of incline and force is used to study the laws of motion, work, and energy.
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