1. King Fahd University of Petroleum & Minerals
Mechanical Engineering
Dynamics ME 201 BY
Dr. Meyassar N. Al-Haddad
Lecture # 14

2. Projectile
Determine the speed at which the basketball at A must be thrown at the angle of 30o so that it makes it to the basket at B. At what speed does it pass through the hoop?

3. A ball traveling at 25 m/s drive off of the edge of a cliff 50 m high
A ball traveling at 25 m/s drive off of the edge of a cliff 50 m high. Where do they land?
Horizontally
x = x0 + (v0)x t
25 m/s
x = 25 *3.19 = 79.8 m
79.8 m
Initial Conditions
vx = 25 m/s
vy0 = 0 m/s
a =- 9.8 m/s2
t = 0
y0 = 0 m
y =- 50 m
x0 =0 m
Vertically
v = v0-gt
y = y0 + v0t + 1/2gt2 ….
v2 = v02 - 2g(y-y0)….
-50 = 0+0+1/2(-9.8)t2 … t = 3.19 s
V2 = -2(9.8)(-50-0)… V = 31.3 m/s

4. Example 13-4
m A= 3 kg
m B= 5 kg
From rest
vB= ? In 2 second
Block A
Block B

5. Problem
VA = ?
2Sc + SA = L
2ac + aA = 0
aA = -2ac

6. Relative motion
At the instant shown, cars A and B are traveling at the speeds shown. If B is accelerating at 1200 km/h2 while A maintains a constant speed, determine the velocity and acceleration of A with respect to B.

7. Problem 13.8
v = 65 ft/s aA = ?
smooth slope
W = 150 lb

8. Polar and Cylindrical
The slotted fork is rotating about O at a constant rate of 3 rad/s. Determine the radial and transverse components of velocity and acceleration of the pin A at the instant q = 360o. The path is defined by the spiral groove r = (5+q/p) in., where q is in radians.

9. Example 12-20

10. Problem 13-89
Smooth
Horizontal
m = 0.5 kg
r = (0.5 q)
q = 0.5 t2 rad
Applied force
Normal force
t = 2 s. r y y y q

11. q r Problem m=2 kg Smooth horizontal r = 0.4 q Ptangent = ? N N=? P
At q = 45o P N r q

12. Thank You