A mass of m = 3 kg at the end of a robotic arm moves in...
A mass of m = 3 kg at the end of a robotic arm moves in the following way at a certain instant:
The length of the arm is 2 m
The length of the arm is increasing by 1 m/s
It is rotating with an angular velocity of 6 rad/s counterclockwise (CCW)
It has an angular acceleration of 1 rad/s2 clockwise (CW)
Using polar coordinates find the acceleration in the θ-axis direction:
Homework Answers
The acceleration in the 
axis direction is known as Angular acceleration.
The angular acceleration is given as
= a / r
where a is the tangential acceleration and r is the radius of circular motion.
The locomotive crane is traveling to the right at 2 m/s and has an acceleration of...
The locomotive crane is traveling to the right at 2 m/s and has an acceleration of 1.5 m/s2, while the boom is rotating about the z axis with an angular velocity 05 rad/s which is increasing at 3 rad/s2. At this same instant, e 30° and the'boom is rotating upward at a constant rate θ = 3 rad/s Determine the velocity and acceleration of the tip B of the boom at this instant. 0.5 rad/s 3 rad/s o 20 m...
(16 Points) A robotic arm is being designed to move an object in the vertical direction...
(16 Points) A robotic arm is being designed to move an object in the vertical direction at a required speed and acceleration. A simplified version of the arm is shown in the figure below. Point C on the arm is required to move in the vertical direction shown with a velocity, Vc = 3 m/s, and and acceleration a, = 4 m/s2. Determine the angular accelerations of arms AB and BC at the instant shown. Make sure you include all...
At the instant shown, 0-60", and rod AB is subjected to a deceleration 4-18 m/s2 when...
At the instant shown, 0-60", and rod AB is subjected to a deceleration 4-18 m/s2 when the velocity v = 11 m/s Figure 1) Part A Determine the angular velocity of link CD at this instant measured counterolackwise. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. rad/s Submit Figure < 1of1 > Part B Determine the angular acceleration of link CD at this...
For the instant represented, link CB is rotating counterclockwise at a constant rate N = 2.9 rad/s...
For the instant represented, link CB is rotating counterclockwise at a constant rate N = 2.9 rad/s and its pin A causes a clockwise rotation of the slotted member ODE Determine the angular velocity and angular acceleration of ODE for this instant. The angular velocity and angular acceleration are positive if counterclockwise, negative if clockwise. Answers: ωODE = _______ rad/s οODE = _______ rad/s
dynamic (Relative Motion: Rotating Axis) The crane's telescoping boom is rotating with the angular velocity (counterclockwise...
dynamic
(Relative Motion: Rotating Axis) The crane's telescoping boom is rotating with the angular velocity (counterclockwise - (+k)) and angular acceleration (clockwise-(-k))) shown. At the same instant, the boom is retracted with a constant speed of 0.5 ft's, measured relative to the boom. Determine the following: Yy X, 60 ft 1) The relative velocity vector of B based on the rotated axis (x,y) in Cartesian coordinates (I.J.K). [Example: (A) 10 ft/s] 0.1k rad QAN 0.2 k rad/ 30 2) The...
At the instant shown collar B moves with a velocity of vB=4 [m/s] and acceleration aB=2.4...
At the instant shown collar B moves with a velocity of vB=4
[m/s] and acceleration aB=2.4 [m/s2 ] to the right. Angle =50o ,
and length of the rod is L=650 [mm]. At the instant when =30o ,
determine (a) magnitude of angular acceleration of rod AB, AB
[rad/s2 ], and (b) magnitude of acceleration of collar A, aA [m/s2
].
What is magnitude of angular acceleration of rod AB, AB [rad/s2
]?
What is magnitude of acceleration of collar...
The disk rotates about a fixed axis through point o with a clockwise angular velocity wo...
The disk rotates about a fixed axis through point o with a clockwise angular velocity wo = 20 rad/s and a counterclockwise angular acceleration 0o = 4.1 rad/s2 at the instant under consideration. The value of r is 260 mm. Pin A is fixed to the disk but slides freely within the slotted member BC. Determine the velocity and acceleration of A relative to slotted member BC and the angular velocity and angular acceleration of BC. The relative velocity and...
QUESTION 1 The slider block C moves at 8 m/s down the inclined groove. Determine the...
QUESTION 1 The slider block C moves at 8 m/s down the inclined groove. Determine the angular velocities of links AB and BC.at the instant shown QUESTION 3 At the instant shown. θ-: 60p. and rod AB is subjected to a deceleration of 16 m/s when the velocity is 10 m s. Determine the angular velocity and angular acceleration of link CD at this instant QUESTION 2 The shaper mechanism is designed to give a slow cutting stroke and a...
t the instant shown, the robotic arm All is rotatingc K. is rotating 6 rad/s and...
t the instant shown, the robotic arm All is rotatingc K. is rotating 6 rad/s and a2 rad's? both measured relative to a fxe reference. Determine the velocity and acceteration of the objoct held at the grip C.
If end A of the rod moves with a constant velocity of va = 6 m/s,...
If end A of the rod moves with a constant velocity of va = 6 m/s, determine the angular velocity and angular acceleration of the rod and the acceleration of end B at the instant shown. (Answer: 15 rad/s, 0 rad/s2,90 m/s) 400 mm A = 6 m/s
The locomotive crane is traveling to the right at 2 m/s and has an acceleration of 1.5 m/s2, while the boom is rotating about the z axis with an angular velocity 05 rad/s which is increasing at 3 rad/s2. At this same instant, e 30° and the'boom is rotating upward at a constant rate θ = 3 rad/s Determine the velocity and acceleration of the tip B of the boom at this instant. 0.5 rad/s 3 rad/s o 20 m...
(16 Points) A robotic arm is being designed to move an object in the vertical direction at a required speed and acceleration. A simplified version of the arm is shown in the figure below. Point C on the arm is required to move in the vertical direction shown with a velocity, Vc = 3 m/s, and and acceleration a, = 4 m/s2. Determine the angular accelerations of arms AB and BC at the instant shown. Make sure you include all...
At the instant shown, 0-60", and rod AB is subjected to a deceleration 4-18 m/s2 when the velocity v = 11 m/s Figure 1) Part A Determine the angular velocity of link CD at this instant measured counterolackwise. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. rad/s Submit Figure < 1of1 > Part B Determine the angular acceleration of link CD at this...
dynamic
(Relative Motion: Rotating Axis) The crane's telescoping boom is rotating with the angular velocity (counterclockwise - (+k)) and angular acceleration (clockwise-(-k))) shown. At the same instant, the boom is retracted with a constant speed of 0.5 ft's, measured relative to the boom. Determine the following: Yy X, 60 ft 1) The relative velocity vector of B based on the rotated axis (x,y) in Cartesian coordinates (I.J.K). [Example: (A) 10 ft/s] 0.1k rad QAN 0.2 k rad/ 30 2) The...
At the instant shown collar B moves with a velocity of vB=4
[m/s] and acceleration aB=2.4 [m/s2 ] to the right. Angle =50o ,
and length of the rod is L=650 [mm]. At the instant when =30o ,
determine (a) magnitude of angular acceleration of rod AB, AB
[rad/s2 ], and (b) magnitude of acceleration of collar A, aA [m/s2
].
What is magnitude of angular acceleration of rod AB, AB [rad/s2
]?
What is magnitude of acceleration of collar...
The disk rotates about a fixed axis through point o with a clockwise angular velocity wo = 20 rad/s and a counterclockwise angular acceleration 0o = 4.1 rad/s2 at the instant under consideration. The value of r is 260 mm. Pin A is fixed to the disk but slides freely within the slotted member BC. Determine the velocity and acceleration of A relative to slotted member BC and the angular velocity and angular acceleration of BC. The relative velocity and...
QUESTION 1 The slider block C moves at 8 m/s down the inclined groove. Determine the angular velocities of links AB and BC.at the instant shown QUESTION 3 At the instant shown. θ-: 60p. and rod AB is subjected to a deceleration of 16 m/s when the velocity is 10 m s. Determine the angular velocity and angular acceleration of link CD at this instant QUESTION 2 The shaper mechanism is designed to give a slow cutting stroke and a...
t the instant shown, the robotic arm All is rotatingc K. is rotating 6 rad/s and a2 rad's? both measured relative to a fxe reference. Determine the velocity and acceteration of the objoct held at the grip C.
If end A of the rod moves with a constant velocity of va = 6 m/s, determine the angular velocity and angular acceleration of the rod and the acceleration of end B at the instant shown. (Answer: 15 rad/s, 0 rad/s2,90 m/s) 400 mm A = 6 m/s
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