Suez Canal University
Faculty of Engineering
Final Exam
st
1 Term: 2019
Program: Credit Hours Course: Mechanics-2 Course Code: BSM
(Dynamics) 024
Level: One()المستوى االول Lecturer: Tamer Nabil Date: 22/1/2019
Total Pages: (2) Total Marks: 50 Time Allowed: 180
min.
Question No. (1): [1 mark]
1) When a particle is projected vertically upwards with an initial velocity of v o, it
experiences an acceleration a = - (g + kv 2), where g is the acceleration due to
gravity, k is a constant and v is the velocity of the particle. Determine the maximum
height reached by the particle.
a) h max=
1
2k ( 2 k
ln 1+v o
g ) 1
( 2 k
b) h max= k ln 1+ v o g ) 1
( k
c) h max= 2 k ln 1+v o g )
Question No. (2): [2 marks]
Particle has acceleration a=(-150/x2). The particle starts the motion at x=5m and its
velocity is zero when x at infinity.
2) Particle initial velocity is
a- 5.48m/s b- 0.89m/s c- 7.75m/s d- Other solution
3) Particle position at time t=6sec is
a- 33.16m b- 30.33m c- 18.64m d- Other solution
Question No. (3): [2 marks]
Particle moves on a path equation x=12cos(y/16) with a y=(-4y). If the particle starts the
motion from rest at a point (0,8π).
4) Particle position (x,y) at time t=(π/3)sec is
a- (8.49,-12.57) b- (2.51,-12.57) c- (11.31,9.42) d- Other solution
5) Particle velocity (vx,vy) at time t=(π/3)sec is
a- (12.29,9.42) b- (-23.09,-43.53) c- (18.43,-43.53) d- Other solution
Question No. (4): [2 marks]
8m
Particle starts its motion from point A to
right with vo=2m/s and at=4x.
18m
6) Particle velocity at point C is
a- 18.96m/s b- 39.15m/s c- 78.27m/s d- Other solution
7) Particle acceleration just before point B is
a- 72m/s2 b- 71m/s2 c- 73m/s2 d- Other solution
Question No. (5): [2marks]
If the particle motion in the Cartesian plane is given by the equations x=2t,
y=20sint such that x and y in meter and the time in second:
8) Velocity components at time t=(π/3) sec
a) (0,10) b) (2,10) c) (2,-10) d) (10,-10)
9) Acceleration components at time t=(π/3) sec
a) (0,0) b) (0,10) c) (0,10 √ 3) d) (0,−10 √ 3)
Question No. (6): [3 marks]
If the particle motion in the Cartesian plane is given by the equations x=40t and
y=30t-5t2 such that x and y in meter and the time in second
10) Velocity components at time t=3 sec
a) (40,10) b) (40,0) c) (-40,0) d) (10,-10)
11) Maximum height the particle can be reached above the X axis
a) 35m b) 40m c) 45m d) 50m
12) The particle motion trajectory intersect the X axis at point
d) (60,0) c) (90,0) b) (180,0) a) (240,0)
Question No. (7): [8 marks]
The car in Fig. starts from rest and
travels along a straight track such that
it accelerates at 10 m/s 2 for 10 s, and
then decelerates at 2 m/s 2. Draw the v-t
and s-t graphs and determine the time t'
needed to stop the car. How far has the
car traveled?
Question No. (8) [10 marks]
The position of a point P is given by the equation
3 2
r =2t −4 t +3
Calculate:
(a) The velocity and acceleration
(b) The net displacement from t=0 to t=2 s,
(c) The times when the velocity and the acceleration are zero,
(d) The total distance traveled from t=0 to t=2 s,
(e) The average velocity, and
(f) The average speed.
Question No. (9) [10 marks]
Shown are the path of a particle
and representations of the
velocity and acceleration of a
particle at that instant in time.
Indicate whether each of the
conditions shown is possible or
not.
Question No. (10) [10 marks]
A car with mass m=500kg moves with velocity v
vo=5m/s, suddenly the car drged by the wind. If
the drag force is directly proportional with car FR
velocity with the relation FR=50v and negelct the
friction force, determine:
a- The car acceleratio when velocity v=2.5m/s
b- The time of the car to reach a velocity
v=2.5m/s
c- The distance of the car to reach a velocity
v=2.5m/s
