0
Upcoming SlideShare
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Standard text messaging rates apply

# Important notes - Engg. Diploma FY - Physics - Rectilinear Motion

658

Published on

Important notes - Engg. Diploma FY - Physics - Rectilinear Motion by ednexa.com

Important notes - Engg. Diploma FY - Physics - Rectilinear Motion by ednexa.com

Published in: Education
1 Like
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
Your message goes here
• Be the first to comment

Views
Total Views
658
On Slideshare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
36
0
Likes
1
Embeds 0
No embeds

No notes for slide

### Transcript

• 1. Rectilinear Motion
• 2. Important Terms And Definitions 1. Kinematics :  It is the branch of dynamics which deals with the forces acting on bodies in motion without considering the mass of a body and the forces which is responsible to cause the motion. 
• 3. Rectilinear Motion  Motion of a particle along a straight line is called rectilinear motion, linear motion or one dimensional motion.
• 4. 3.  To describe linear motion of a particle its position at all times is to be specified. The equations used in this case are called ‘Equations of Motion’ or ‘Kinematical equations’.
• 5. 4. Every motion is related to the observer:  Position of a particle in motion is described in terms of distance from reference point or origin.
• 6. Path length or distance travelled :  The total distance covered by a particle during its motion is called path length or distance traveled (scalar quantity)
• 7. Displacement :  Change in position of a moving particle in a particular direction is called displacement. Displacement is the shortest distance between two positions of a moving particle in a particular direction (vector quantity)
• 8.  Displacement and distance traveled are equal in rectilinear motion but distance traveled is greater than displacement in any other motion.
• 9. Average velocity (vector quantity)  The average velocity of a moving particle is defined as the displacement divided by the interval in which it has occurred  avg vel V x t
• 10.  Average speed : Average speed of a moving particle is defined as total distance travelled divided by time taken  Avg speed V = total distance traveled / time
• 11.  Acceleration : Acceleration of a moving body is defined as the rate of change of velocity with respect to time.
• 12. Equation of motion, when Distance (s) Travelled by a Body Moving with a Uniform Velocity: We know that,  Distance travelled = Average velocity x time  S u v t 2  we have, v = u + at, substitute this in equation (1), we get
• 13. Equation of Motion, when Velocity of a Body Moving with Uniform Acceleration after Covering a Distance ‘S’
• 14. Equation of Motion, when a Distance Travelled in nth Second by a particle (or Body) Moving with Uniform Acceleration: Consider a body in rectilinear motion moving with initial velocity (u) and uniform acceleration (a). In nth second, it acquires a velocity (v) and covers a distance (s). u = Initial velocity of a body: v = Final velocity of a body n = Number of second:  sn = Distance travelled in n sec. 
• 15. Distance covered in (n – 1) sec. Distance travelled in nth sec.  = sn – sn-1 A = Uniform acceleration.  From Equation (2), we have  sn-1 =  snth =   For distance travelled in n second, put t = n
• 16. For distance travelled in (n – 1) second, put t = n – 1
• 17. Graphical Representation Velocity Time Graph  Case I  Uniform velocity  Area under the curve = displacement  S = Vt
• 18. Case II:- When the body moves with a variable velocity: = s = distance travelled. If velocity varies from 0 to v, V-T diagram is a triangle as shown in fig. Here initial velocity (u) is zero.  Area under the graph = Area of a triangle  
• 19.  s = distance travelled.
• 20. If velocity varies from u to 0. (Final velocity (v) is zero): V-T  diagram is a triangle as shown in Area under the graph = Area of a rectangle 1 2 1 2 1 2 1 2 OB u t v at t .... s in c e u = v - a t 0 at t ....s in c e v = 0 1 2 s OA at 2 d is ta n c e tra v e lle d
• 21.  Negative sign indicates that there is retardation. S lo p e u t ta n a u t .....sin ce -a = re ta rd a tio n .
• 22. If velocity varies from u to v: VT diagram is trapezium as shown in fig.  Area under the graph = Area of trapezium 