Assignment 2
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Date
Nov 24, 2024
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2
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Assignment 2
ENGG 349 – Dynamics, Fall 2023
Instructor: Dr. Ahmad Ghasemloonia
Page 1 of 2
Problem 1
: A golfer hits a golf ball with an initial velocity of
160
௧
௦
at an angle of
25
°
with the
horizontal.
Knowing that the fairway slopes downward at an average angle of
5
°
, determine the distance
𝑑
between the golfer and point
𝐵
where the ball first lands.
Dynamics, Beer, Problem 11.104
Answer:
𝑑 ൌ 726 𝑓𝑡
Problem 2
: It is observed that the skier leaves the ramp at an angle
𝜃
ൌ 25
°
with the horizontal.
If he
strikes the ground at
B
, determine his initial speed
𝑣
, and the speed at strike point
B
.
Dynamics, Hibbeler, Problem 12.97
Answer:
|𝑣
⃗
| ൌ 19.4
௦
;
|𝑣
⃗
| ൌ 40.4
௦
Problem 3
: If the car decelerates uniformly along the curved road from
25
௦
at
A
to
15
௦
at
C
, determine
the magnitude of acceleration of the car at
B
.
Dynamics, Hibbeler, Problem F12.29
Answer:
|𝑎
⃗
| ൌ 1.18
௦
మ
Assignment 2
ENGG 349 – Dynamics, Fall 2023
Instructor: Dr. Ahmad Ghasemloonia
Page 2 of 2
Problem 4
: The motorcycle is traveling along a circular path at
40
௦
when it is at point
𝐴
.
If the speed is
then decreased at
𝑎
௧
ൌ െሺ0.05 𝑠ሻ
௦
మ
, where “
𝑠
” is in meters measured from point
𝐴
, determine its
magnitude of the velocity and magnitude of the acceleration when the motorcycle reaches point
𝐵
.
Dynamics, Hibbeler, 14
th
ed., Problem 12-138
Answer:
|𝑣
⃗
| ൌ 19.14
௦
; |𝑎
⃗
| ൌ 8.22
௦
మ
Problem 5
: A race car enters the circular portion of a track that has a radius of
70 𝑚
.
When the car enters
the curve at point
𝑃
, it is traveling with a speed of
120
that is increasing at
5
௦
మ
.
Three seconds later,
determine the
𝑥
and
𝑦
components of velocity and acceleration of the car.
Dynamics, Beer, Problem 11.143
Answer:
𝑣
⃗ ൌ െ47.55𝚤̂ െ 8.6 𝚥̂
௦
𝑎𝑛𝑑
𝑎
⃗ ൌ 1.02𝚤̂ െ 33.69𝚥̂
௦
మ
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