1. King Fahd University of Petroleum & Minerals
Mechanical Engineering
Dynamics ME 201 BY
Dr. Meyassar N. Al-Haddad
Lecture # 33

2. General Application of the Equations of Motion
Summation of moment in FBD = summation of the kinetic moment in K.D

3. Rectilinear Translation

4. Curvilinear Translation

5. Example
mm=125 kg
mR= 75 kg
a= ?
NB=?
FB=?
ms=? Minimum to
Lift front wheel

6. Problem
m = 80 kg
mB= 0.8
NA= ?
NB= ?
When rear wheel locks for break
a = ? Deceleration aG
mBNB NA NB

7. Problem
m= 80 kg
mB= ?
NA=?
NB=?
a =?
When traveling at constant velocity
and no break was applied NA NB
mBNB
a = 0

8. Problem
m= 80 kg
NA=?
NB=?
a =?
mk=? minimum
When rider applies the front break
and back wheel start to lift off the ground NA
NB=0
mkNA

9. Example mBD=100kg mAB=mCD= Neglect q = 30o w = 6 rad/s TA= ? TD= ?
aG=?

10. Rotation About a Fixed Axis

12. Pin Reaction Horizontal Reaction Vertical Reaction OR Normal Reaction
Tangential Reaction
If G&O are same use horizontal and vertical
If G&O are not same use normal and tangential On Ot Ox On Oy Ot

13. Example 17-9
Start from rest
m = 30 kg
w=20rad/s
Pin reaction?
q=? Number

14. Example 17-10
m= 20 kg

15. Example 17-11
m=60 kg
Radius of gyration
kO=0.25
mb=20 kg
a=? Drum
a=?

16. Example 17-12
W=50 Ib
kG=0.6 ft
w= 8 rad/s
Pin reaction =?

17. Thank you