Assignment 5
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Assignment 5
Please work on Problems 1 and 2 for Quiz 4/5.
ENGG 349 – Dynamics, Fall 2023
Instructor: Dr. Ahmad Ghasemloonia
Page 1 of 2
Problem 1
: The
150-lb
man lies against the cushion for which the coefficient of static friction is
࠵?
!
= 0.5
.
Determine the resultant normal and frictional forces the cushion exerts on him if, due to rotation about the
࠵?
-axis, he has a constant speed
࠵? = 20
"#
!
. Neglect the size of the man. Take
࠵? = 60
°
.
Dynamics, Hibbeler, Problem 13.71
Answer:
࠵?
"⃗
= 277 ࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵? ࠵?ℎ࠵? ࠵?࠵?࠵?ℎ࠵?࠵?࠵?; ࠵?
"""⃗
= 13.4 ࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵? ࠵?ℎ࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵? ࠵?࠵?࠵? ࠵?࠵?࠵?࠵?࠵?࠵?
Problem 2
: A small block slides at a speed
࠵?
on a horizontal surface. Knowing that
ℎ = 0.9 ࠵?
, determine
the required velocity of the block if it is to leave the cylindrical surface
࠵?࠵?࠵?
when
࠵? = 30
°
.
Dynamics, Beer, Problem 13.44
Answer:
࠵?
⃗ = 2.29
!
"
→
Problem 3
: The spring has a stiffness of
࠵? = 50
%&
"#
and an unstretched length of
2 ࠵?࠵?
. As shown, it is
confined by the plate and wall using cables so that its length is
1.5 ࠵?࠵?
. A
4-lb
block is given a speed of
࠵?
’
when it is at
A
, and it slides down the incline having a coefficient of kinetic friction of
࠵?
(
= 0.2
.
If it
strikes the plate and pushes it forward
0.25 ࠵?࠵?
before stopping, determine its velocity at
A
. Neglect the
mass of the plate and spring.
Dynamics, Hibbeler, Problem 14.36
Answer:
࠵?
⃗
#
= 5.8
$%
"
࠵?࠵?࠵?࠵? ࠵?ℎ࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?
Assignment 5
Please work on Problems 1 and 2 for Quiz 4/5.
ENGG 349 – Dynamics, Fall 2023
Instructor: Dr. Ahmad Ghasemloonia
Page 2 of 2
Problem 4
: The system is initially at rest with no slack in the cable and with the spring stretched
200 ࠵?࠵?
initially.
If the system is released from rest,
࠵?
is going down the incline and
࠵?
is going vertically upward.
Determine the distance traveled by
࠵?
before it comes to rest.
The coefficients of kinetic friction between
࠵?
and the incline surface is
࠵?
(
= 0.08
.
Assume frictionless-massless pulleys and consider
࠵?
’
= 10 ࠵?࠵?
and
࠵?
)
= 2 ࠵?࠵?
.
Dynamics, Meriam, Problem 3.5
Answer:
| ∆࠵?
#
| = 0.769 ࠵?
Problem 5
: The two blocks
࠵?
and
࠵?
have weights
࠵?
’
= 60 ࠵?࠵?
and
࠵?
)
= 10 ࠵?࠵?
.
If the kinetic coefficient
of friction between the incline and block
࠵?
is
࠵?
(
= 0.2
, determine the speed of
࠵?
after it moves
3 ࠵?࠵?
down
the plane starting from rest. Neglect the mass of the cord and pulleys.
Dynamics, Hibbeler, Problem 14.18
Answer:
࠵?
⃗
#
= 3.51
$%
"
࠵?࠵?࠵?࠵? ࠵?ℎ࠵? ࠵?࠵?࠵?࠵?࠵?࠵?࠵?
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