A system shown in the figure has the links, 1-2, 2-3, 3-4 and the disk. At 𝜃θ = 60 (deg) and 𝐿1−2 L_(1-2
Posted: Tue May 24, 2022 9:44 am
A system shown in the figure has the links, 1-2, 2-3, 3-4 and
the disk. At 𝜃θ = 60 (deg) and
𝐿1−2 L_(1-2) is
subjected to the velocity of - 32 √3/2
(m/s) and the acceleration of 1 (m/𝑠2s^2):
(Question 2.1) Determine the angular velocity,
𝜔 ω ⃗ and the acceleration,
αα ⃗ of 𝐿3−4L_(3-4) at the joint, 4.
(10 points)
(Question 2.2) Determine the velocity,
𝑣𝐴v ⃗_A of the disk at the point , A. (10
points). Here, 𝐿1−2L_(1-2) =
𝐿2−3 L_(2-3) =
𝐿3−4 L_(3-4) = 0.5 (m) and only
rotation is allowed at the joints of ‘0’ and ‘4’. We assume that
there is no sliding between the link 1-2 and the disk contour in
surface contact and the link 1-2 rotates the disk with the radius
of R = 32√3/2 (m). Hint: Find the relationship
between the ‘x’ coordinate and the angle ‘ϑ’, first.
A VA, aA R 1 e 0 L2-3 plus rotation Ө L3-4 3 у w, a X Initial shape
the disk. At 𝜃θ = 60 (deg) and
𝐿1−2 L_(1-2) is
subjected to the velocity of - 32 √3/2
(m/s) and the acceleration of 1 (m/𝑠2s^2):
(Question 2.1) Determine the angular velocity,
𝜔 ω ⃗ and the acceleration,
αα ⃗ of 𝐿3−4L_(3-4) at the joint, 4.
(10 points)
(Question 2.2) Determine the velocity,
𝑣𝐴v ⃗_A of the disk at the point , A. (10
points). Here, 𝐿1−2L_(1-2) =
𝐿2−3 L_(2-3) =
𝐿3−4 L_(3-4) = 0.5 (m) and only
rotation is allowed at the joints of ‘0’ and ‘4’. We assume that
there is no sliding between the link 1-2 and the disk contour in
surface contact and the link 1-2 rotates the disk with the radius
of R = 32√3/2 (m). Hint: Find the relationship
between the ‘x’ coordinate and the angle ‘ϑ’, first.
A VA, aA R 1 e 0 L2-3 plus rotation Ө L3-4 3 у w, a X Initial shape