DYNAMICS - Lecture Notes / Mehmet Zor
1
23 Agust, 2024
Questions with answers
about kinematics of rigid body
3.4
DYNAMICS - Lecture Notes / Mehmet Zor
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23 Agust, 2024
B
D
A
0.12m
0.12m
0.3m
y
x
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
3
23 Agust, 2024
Question 3.4.2 ) In the system shown in the figure, sliding element A has a speed of 3 m/s and an acceleration of 1.5 m/s2 to the right. Calculate the angular velocity and angular acceleration of rod AB for the position shown.
Answers: ωAB = 4rad/s , αAB = 10.32rad/s2
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
4
23 Agust, 2024
Question 3.4.3 ) The wheel shown in the figure rolls to the right at a constant velocity of 120 cm/s without slipping. Point C is the point of contact of the wheel with the rails. The length of the AB rod is 120 cm and is connected to the wheel at point B. Calculate the angular velocity of AB and the velocity of point A for the position in the figure.
(Answers: ωAB =0 , vA=240cm/s)
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
5
23 Agust, 2024
O
200mm
C
A
x
y
θ
ω
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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23 Agust, 2024
300
G
A
B
ω
α
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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23 Agust, 2024
A
0.3m
1.5m
0.3m
B
C
O
ωo
Question 3.4.6 ) In the mechanism shown, the disk O is rotated counterclockwise with a constant angular velocity of ωo = 2 rad/s. Calculate the angular velocities and angular accelerations of rods AB and BC for the position shown.
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
8
23 Agust, 2024
Question 3.4.7 ) At the position given in the figure, the angular velocity of the disk is 8 rad/s clockwise and its angular acceleration is 30 rad/s counterclockwise. For this moment,a-) Find the angular velocities of both rods and the speed of point C;b-) Find the angular accelerations of both rods and the acceleration of point C.
Answers:
a-) ωBC =0 , ωCD =4rad/s, vC=80j cm/s
b-) αBC =40rad/s2 , αCD =5rad/ s2, aC=320i -100j ( cm/ s2 )
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
9
23 Agust, 2024
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
10
23 Agust, 2024
Question 3.4.9 )
In the mechanism shown in the figure, the angular velocity and angular acceleration of rod AB in the counterclockwise direction are 3 rad/s and 5 rad/s2, respectively, at the position shown. Calculate the angular velocity and angular acceleration of rod CD for this position. (Sliding element C is connected to arm 2 and can slide freely on arm 1.)
(Answer: ω2 =-8.95 rad/s , α2 =249 rad/s2 )
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
11
23 Agust, 2024
3.4 Kinematics of Rigid Body / Questions with answers
ω, α
DYNAMICS - Lecture Notes / Mehmet Zor
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23 Agust, 2024
3.4 Kinematics of Rigid Body / Questions with answers
DYNAMICS - Lecture Notes / Mehmet Zor
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23 Agust, 2024
v= 2m/s
a= 1m/s2
3.4 Kinematics of Rigid Body / Questions with answers