Relative motion in 1D & 2D

This PPT covers relative motion between particles in a very systematic and lucid manner. I hope this PPT will be helpful for instructor's as well as students.

1. RELATIVE MOTION

2. Relative motion The motion of an object with respect to other moving or stationary object is called a relative motion.

3. Relative motion in one dimension Frame - A Frame - B Frame - C         From above figure, Differentiate eq.(1) w.r.t. time we get,     Stationary Constant velocity acceleration   Now differentiate eq.(2) w.r.t. time we get,   The ter m is zero, because is constant    

4. Relative motion in one dimension Car - A Car - B       Relative velocity of A w.r.t. B Relative velocity of B w.r.t. A  

5.   Time (s) (m) (m) 10 25 5 15 30 10 20 35 15 25 40 20 30 45 25 35 50 Time (s) 10 25 5 15 30 10 20 35 15 25 40 20 30 45 25 35 50 5 10 15 20 25 30 t 2 4 6 x 1 3 5    

6.   Time (s) (m) (m) 10 20 5 15 30 10 20 40 15 25 50 20 30 60 25 35 70 Time (s) 10 20 5 15 30 10 20 40 15 25 50 20 30 60 25 35 70 5 10 15 20 25 30 t 2 4 6 x 1 3 5    

7.   Time (s) (m) (m) 10 30 5 20 35 10 30 40 15 40 45 20 50 50 25 60 55 Time (s) 10 30 5 20 35 10 30 40 15 40 45 20 50 50 25 60 55 5 10 15 20 25 30 t 2 4 6 x 1 3 5        

8. Time (s) (m) (m) 10 55 5 20 50 10 30 45 15 40 40 20 50 35 25 60 30 Time (s) 10 55 5 20 50 10 30 45 15 40 40 20 50 35 25 60 30 5 10 15 20 25 30 t 2 4 6 x 1 3 5         Two objects moving in opposite direction

9. Relative motion in two dimension Stationary Frame - A Frame - B Frame - C Constant velocity acceleration      

10. Relative motion in two dimension From above figure, Differentiate eq.(1) w.r.t. time we get,     Now differentiate eq.(2) w.r.t. time we get, T he term is zero, because is constant          

11. Relative motion in two dimension                    

12. Thank you