Release Date : 30/10/2012
Due Date :05/11/2012
DYNAMICS HOMEWORK #1
1.The car in Fig. 1 moves in a straight
line such that for a short time its
velocity is defined by v = (3t2 + 2t)
m/s, where t is in seconds. Determine
its position and acceleration when t = 3
s. When t = 0, s = o.
2. During a test a rocket travels upward at 75 m/s, and
when it is 40 m from the ground its engine fails. Determine
the maximum height sB reached by the rocket and its speed
just before it hits the ground. While in motion the rocket is
subjected to a constant downward acceleration of 9.81 m/s2
due to gravity. Neglect the effect of air resistance.
3. The v-s graph describing the motion of a
motorcycle is shown in Fig. a. Construct the a-s
graph of the motion and determine the time needed
for the motorcycle to reach the position s = 400 m.
4. The boy having a weight of 80kg hangs uniformly
from the bar. Determine the force in each of his arms in
t = 2 s if the bar is moving upward with
a) a constant velocity of 2 m/s
b) a speed of v = 4t2 m/s where t is in seconds.
Important Note : Homeworks should be submitted just on time. Otherwise, they won’t be accepted.
Release Date : 30/10/2012
Due Date :05/11/2012
DYNAMICS HOMEWORK #1
5. The ball is ejected horizontally from the
tube with a speed of 8m/s. Find the
equation of the path y = f(x), and then find
the ball’s velocity and the normal and
tangential components of acceleration
when t = 0.25s.
6. Determine the vertical rise h of the load W during 10
seconds if the hoisting drum draws in cable at the constant
rate of 180 mm/s.
7. A block with a weight of 50kg is
hung with a spring-mass system as
shown in the figure. Block is released
after it was pulled down vertically.
a) Determine the period and the
frequency of the motion.
b) If the amplitude of the motion is
7,5cm determine the maximum
velocity and acceleration of the block.
8. A truck is traveling along the horizontal circular curve of radius r = 60 m with a constant
speed of v = 20m/s. Determine the angular rate of rotation dθ/dt of the radial line r and the
magnitude of the truck’s acceleration.
Important Note : Homeworks should be submitted just on time. Otherwise, they won’t be accepted.