CE3302 Dynamics
Spring 2014
Homework 2
2. A projectile is lunched at point A with the velocity shown. Determine the slant distance s which
locates the point C of impact. Calculate the time of flight t .
y
100 2 m/s
45
B
A
x
30
100 m
s
C
Solution:
Horizont
CE3302 Dynamics
Spring 2014
Homework 3
In this homework problem, we have used the fact that the tangential component of the acceleration is
responsible for the change of the magnitude of the velocity. The normal component of the acceleration,
which is res
CE3302 Dynamics
Spring 2014
Homework 8: Solutions
2. The 2 kg block is released from point A as shown. if d = 12 m , determine the maximum deformation
of the spring of constant 100 kN/m when it momentarily arrests the block. Assume that there is no fricti
CE3302 Dynamics
Spring 2011
Homework 3
1. The path of an airplane during its climb is as shown. When it reaches point A , its speed is 150 m/s ,
which is increasing at a rate of 2 m/s 2 . Determine the magnitude of the airplane's acceleration when it is
a
CE3302 Dynamics
Spring 2011
Homework 18: Solutions
1. The 10 kg pulley has a radius of gyration about O of 0.4 m. If a force of P 400(4 2 e L ) N is
applied to the free end of the cord, where L is the amount of the cord wound up in meters, determine the
s
CE3302 Dynamics
Spring 2011
Homework 17: Solutions
A
O
A
B
O
A M
A
C
B
16.1 lb
32.2 lb
16.1 lb 16.1 lb
(a)
"
"
O
12
O
12
"
12
12
"
1. Each of the four drums are 12 inches in radius and 64.4 lb in weight and has a radius of gyration about
its center of 9 i
CE3302 Dynamics
Spring 2011
Homework 7
1. A 64.4 lb package is at rest on a slope when a constant force F of 50 lb is applied to it. The coefficient
of kinetic friction between the package and the slope is 0.25. Determine the magnitude of the velocity of
CE3302 Dynamics
Spring 2011
Homework 8
1. Some brave guy of 161 lb decides to go bungee jumping from a bridge, which is h 200 ft above the
surface of a river. Knowing that the cords that the guy can choose from can be treated as springs when
extended and
CE3302 Dynamics
Spring 2011
Homework 10:Solutions
1. The 1 lb ball A is thrown so that when it strikes the 10 lb block B it is traveling horizontally at a
speed of 20 ft/sec. If the coefficient of restitution between A and B is e 0.6 , and the coefficient
CE3302 Dynamics
Spring 2011
Homework 4
1. At a certain instant, cylinder B is moving to the right with a velocity of 4 m/s and an acceleration of
2 m/s 2 . Determine the corresponding velocity and acceleration of cylinder A .
sA
A
B
sB
Solution:
Define th
CE3302 Dynamics
Spring 2011
Homework 13: Solutions
1. The reel rolls without slipping on the horizontal surface. If end A of the cord has a velocity of 1 m/s
to the right, determine the velocity of the center O and the angular velocity of the reel. (Hint,
CE3302 Dynamics
Spring 2011
Homework 21: Solutions
1. The pendulum shown is composed of a slender rod OA of 6.44 lb and the spherical bob of 16.1 lb.
The 1.61 oz bullet has a horizontal velocity of 800 ft/sec as it strikes the pendulum in a direction
alon
CE3302 Dynamics
Spring 2011
Homework 14: Solutions
1. A drum of radius 4 in is mounted on a cylinder of radius 6 in. A cord is wound around the drum, and its
extremity D id pulled to the right with a constant velocity of 8 in/sec, causing the cylinder to
CE3302, Dynamics, Spring 2011
Midterm Exam #3
CE3302, Dynamics
Spring, 2011
Midterm Exam #3
Tuesday, April 26, 2011
Time Allowed: 1 Hour 20 Minutes
Name:
Signature:
Score:
#
1
2
3
4
Total
Instructions:
a. Answer all questions.
b. Partial credit will be gi
CE3302 Dynamics
Spring 2011
Homework 5: Solutions
1. A 40 kg block is at rest on the flat surface when a force F is applied to it. Determine the magnitude of
F if the velocity of the block reaches 5 m/s when it has traveled a distance of 5 m. The coeffici
CE3302 Dynamics
Spring 2011
Homework 20
1. A bowling ball is projected onto the lane so that it does not rotate but its mass center moves straight
ahead at a speed of (vG )1 5 m/s . If the ball can be treated as a uniform sphere with a radius of 20 cm
and
CE3302 Dynamics
Spring 2014
Homework 9: Solutions
2. The block of 2000 kg is being pulled by the force shown. Determine the time it takes for the block to
reach a velocity of 30 m/s.
F (kN )
8
F
0
0
t (s)
2
mg t
mv1 = 0
=
+
t
0
mv2
Fdt
N t
S
Solution:
The
CE3302 Dynamics
Spring 2011
Homework 22: Solutions
1. In the equilibrium position, the 10 kg cylinder causes a static deflection of 20 mm in the coiled spring.
If the cylinder is depressed an additional 20 mm and released from rest, calculate the resultin
CE3302 Dynamics
Spring 2011
Homework 9: Solutions
1. The block of 2000 kg is being pulled by the force shown. Determine the time it takes for the block to
reach a velocity of 30 m/s.
F (kN )
8
F
0
0
t (s)
2
mg t
mv1 0
t
0
mv2
Fdt
N t
S
Solution:
The impul
CE3302 Dynamics
Spring 2011
Homework 2
1. The position of a particle in curvilinear motion can be determined using the position vector in the form
of r (t ) 4t 3i 3t 2 j 5t 6 k ft . Determine the expressions that describe the velocity and acceleration
of
CE3302 Dynamics
Spring 2011
Homework 11: Solutions
1. Particle A is instantaneously moving at a speed of 6 m/s in the direction shown. Determine the angular
momentum of particle A with respect to point O .
z (k )
A
6 m/s
4m
B
4m
2m
4m
3m
O
y ( j)
x (i )
S
CE3302 Dynamics
Spring 2011
Homework 16: Solutions
1. A force of F 50 lb is applied as shown to the uniform block of 64.4 lb as shown. If the coefficient
of kinetic friction between the block and the horizontal surface is 0.25 and the coefficient of stati
CE3302 Dynamics
Spring 2011
Homework 15: Solutions
1. At the instant shown, the disk rotates about a fixed axis through O with angular velocity 10 rad/s
and angular acceleration 3 rad/s2 in the directions shown. The slider A moves in the circular slot in
CE3302 Dynamics
Spring 2011
Homework 19: Solutions
1. The 1 kg slender rod A B rotates in a vertical plane about a pivot at A . A spring of constant
k 400 N/m and of unstreched length 300 mm is attached to the rod as shown. If the system is released
from
CE3302 Dynamics
Spring 2011
Homework 12
1. The angular velocity of the disk is defined by 0.2t 3 2t 2 2 rad/s , where t is in seconds.
Determine the magnitudes of the velocity and acceleration of point A on the disk when t 1s .
A
1m
O
Solution:
At t 1s
t
CE3302 Dynamics
Spring 2011
Homework 6: Solutions
1. . The 10 kg block B is supported by the 40 kg block A which is pulled up an incline by a constant
force of 300 N. The friction between block A and the incline can be neglected. Determine the smallest
co
CE3302 Dynamics
Spring 2011
Homework 1
1. The acceleration of a particle moving along a straight line is given by a et 2t 10 , where a is in
meters per second squared and t is in seconds. Determine the velocity and displacement of the particle as
function
Problem Set 1
Problem 1. The expression y 3t 3 2t 2 17sin 3t 12 m describes the position of a
particle moving along the y-axis. We measure t in seconds and note that the argument
of the sine function is in radians. Determine expressions for the particles