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1st-Year Physics Notes Chapter 2 - 11th Class Notes in pdf view and download
Q How is the vector represented
Vector Representation
A vector is represented in ways
- Symbolic representation
- Graphical representation
Symbolic Representation
It is represented with the aid of using boldface letters which include A, d,r, and V, and many others It also can be represented with the aid of using a letter with an arrow positioned above or under the letter which includes.
Graphical Representation
It is represented with the aid of using an immediately line with an arrowhead The period of the road represents the value of the vector (in step with appropriate scale) Arrowhead represents the path of the vector Representation value of a vector
The value of a vector is represented with the aid of using Light face letters which include A d rand v
Modulus of a vector which includes
Q. What is a square coordinate machine?
Rectangular Coordinate System
(Cartesian Co-ordinate System) The set of or 3 the same time perpendicular traces intersecting at a factor is known as a square machine
The traces are known as coordinate axes
One of those traces is known as the x-axis (or horizontal axis) The difference is known as the y-axis (or vertical axis) The line perpendicular to each x and y axes is known as the z-axis The factor of intersection is known as the origin
Two-dimensional coordinate systems (Plane)
If the machine includes perpendicular traces then it's miles known as a -dimensional coordinate machine
Three-dimensional coordinate machine (Space)
If the machine includes 3 perpendicular traces, then it's miles known as a 3-dimensional coordinate machine
Q. How is the path of the vector represented in (i) a plane (ii) space?
- The path of a Vector in plane
- It is represented with the aid of using the perspective that the vector makes with a Positive x-axis
- In the anti-clockwise path
- The path of a vector in Space
- It is represented with the aid of using 3 angles which the vector makes with x. y and z axes
Q. Describe the addition of vectors with the aid of using the head to tail rule. Is vector addition commutative?
- Head to Tail Tule
- It is a graphical approach to feature or greater vectors
Q. Explain the subsequent terms:
(i) Resultant vector
(ii) Vector subtraction
(ii) Multiplication of a vector with the aid of using a scalar
(iv) Unit vector
(v) Null vector
(vi) Equal vectors
(i) Resultant vector
A vector that has an equal impact because of the mixed impact of all of the vectors to be brought is known as the resultant vector
(ii) Vector subtraction
The subtraction of a vector is equal to the addition of the equal vector with its path reversed
(iii) Multiplication of a vector with the aid of using a scalar
- A vector may be accelerated with the aid of using
- A tremendous number
- A terrible number
(iv) A scalar with measurement Unit vector
A vector whose value is the same as at least one without a device in a given path is known as a unit vector is represented with the aid of using a letter with a cap or hat on it
(v) Null or Zero
vector A vector whose value is 0 and path arbitrary is known as a null vector It is represented with the aid of using
(vi) Equal vectors
The vectors are stated to be the same vectors if they have the equal value
equal path
(irrespective of the location in their preliminary points)
Q Define the thing of vector? what are square additives of vector Answer
Component of a vector
The powerful price of a vector in a given path is known as a thing of a vector A vector might also additionally break up up into or greater than elements those elements are referred to as additives of vector Rectangular Components of Vector
The additives of a vector that might be perpendicular to every difference are known as square additives
Q. Define and give an explanation for the period torque of second of pressure.
The turning impact of pressure produced in a frame approximately an axis is known as torque.
Other Definition
The fabricated from value pressure and the perpendicular distance from the axis of rotation to the road of motion of the pressure is known as torque.
OR
The second pressure also can be described because the vector fabricated from the radius vector from the axis of rotation to the factor of the utility of the pressure and the pressure vector
2. Dynamic equilibrium If a frame is transferring at a uniform pace. It is stated to be in dynamic equilibrium
Example
A vehicle transferring with a uniform linear pace
Q.. What is equilibrium? Give its types. What are its exceptional kinds? Also, write down the situations of equilibrium
Equilibrium
A frame is stated to be in equilibrium if it's miles at relaxation or transferring with a uniform pace below the motion numerous forces
Types of equilibrium
There are styles of equilibrium
1. Static equilibrium
If a frame is at relaxation It is stated to be in static equilibrium
Examples
See book mendacity on a table
A frame is rotating at a uniform angular pace Motion of a paratrooper
Q. Under what situations the frame is stated to be an incomplete equilibrium?
1. Translational equilibrium
When the primary situations are glad is linear acceleration of a frame is 0 and the frame is stated to be in translational equilibrium
2. Rotational equilibrium
When the second situation is glad, the angular acceleration of a frame is 0 and the frame is stated to be in rotational equilibrium
Thus for a frame to be in whole equilibrium each situation ought to be glad ie each in-ear acceleration and angular acceleration ought to be 0
Note
1. We will observe the situations of equilibrium to conditions wherein all of the forces are coplanar
2. To calculate torque we pick an axis The role of the axis is arbitrary
three A maximum appropriate location is one thru which of motion of many forces pass
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