A horse is moving horizontally to the right with a constant speed 12 ft/s as it raises the bale of hay via the pulley. At this instant the angle = 30°. 20 ft Answer the questions below. 1. Consider a polar coordinate system with the origin at O and r and measured as shown. Draw the radial and transverse unit vectors. 2. Project the velocity of the horse into the radial and transverse directions and show a diagram with the velocity vector and its components. 3. What is + and eat this instant? 4. From the perspective of the bale, what is the direction of the relative velocity of the horse (up/down/left/right/diagonal etc.). Draw vectorially the relative velocity of the horse with respect to the bale and include any relevant angles. 5. Will the magnitude of the relative velocity be equal to, greater than or lesser than 12ft/s?

A horse is moving horizontally to the right with a constant speed 12 ft/s as it raises the bale of hay via the pulley. At this instant the angle = 30°. 20 ft Answer the questions below. 1. Consider a polar coordinate system with the origin at O and r and measured as shown. Draw the radial and transverse unit vectors. 2. Project the velocity of the horse into the radial and transverse directions and show a diagram with the velocity vector and its components. 3. What is + and eat this instant? 4. From the perspective of the bale, what is the direction of the relative velocity of the horse (up/down/left/right/diagonal etc.). Draw vectorially the relative velocity of the horse with respect to the bale and include any relevant angles. 5. Will the magnitude of the relative velocity be equal to, greater than or lesser than 12ft/s?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.66P: The three points A(0,2,2),B(1,4,1), and C(3,0,0) define a plane. The coordinates are in inches. Find...

See similar textbooks

Similar questions

The position of the EOAT (gripper hand) of the SCARA Robot in Robotics Factory in BGSU can be expressed by cylindrical coordinate system. Mechatronics student wrote a code that moves the EOAT from position P1 into position P2 at constant angular velocity of 2rad/s. The path generated between these two points, measured from base of the robot follow radial path r = cos m. Calculate the velocity magnitude of EOAT at 0 = 30°. A) 1 m/s B) 2 m/s C)2cos30 m/s D) None of the above.
I would like to know the answer to the questions and how you managed to obtain them. As shown on the coordinate system, points A and B have the following distances from the origin: xA = 3.10 ft , zA= 2.30 ft , xB = 2.80 ft , yB = 1.40 ft , and zB= 1.60 ft. 1) For the two points A and B, what are the i, j, k components of the position vector that starts at A and ends at B? (Figure red) 2)A wire is connected to two supports. (Figure green) The support on the wall has coordinates xA= 3.35 ft and zA= 3.35 ft . The support on the ground has coordinates xB= 1.12 ft and yB= 4.05 ft . What are the i, j, k components of the unit vector u that describes the line of action from point A to point B?
Question 4- On the diagram 1. Draw velocity vector of B 2. Find magnitude of linear velocity of B 3. Draw velocity vector of C 4. Find IC instantaneous centre of rotation for CB (clearly indicate perpendicular directions where applicable) 200 mm 150 mm 30° B @AB=4 rad/s 60°
1. At a given instant the bottom A of the ladder has an acceleration of 8 ft/s² and velocity of 10 ft/s both acting to the left, as the ladder slides down the wall. Determine the ladder's angular velocity and angular acceleration at this same instant. Also determine the acceleration of the top of the ladder, B. Show all work, list governing equations, label all coordinates. Gravity 30° 16 ft Ana PRE B
6. Link AB has an angular velocity of 4.00 rad/s counterclockwise in the position shown in the diagram at the right. a) Calculate the translational velocity vector (magnitude and direction) of C. b) Calculate the translational velocity vector (magnitude and direction) of E. 2.40" 3.00" 60° 6.00" 7.50" B 4.00" E 5.00'
A block is supported by two links having 1m length. The two link have the same angular velocity ( 2 rad/s ) and angular acceleration (3 rad/s²) at a time when they make an angle of 45° with the cleaning. Find the acceleration of the block. Use vector notation W=2 m/s²
The car shown in the image below is moving across the page from left to right and makes a right handed turn(clockwise). Which direction represents the acceleration vector of the car?
(232,100,350) (432,700,50) The AWM sniper rifle fires a bullet at an initial speed of 3,071 ft/s. As shown in the figure above, a soldier is aiming an AWM rifle at a target. According to the Cartesian coordinate system defined at the top left corner of the figure, the muzzle of this rifle locates at (232,100,350) meter and the target locates at (432,700,50) meter. At this time point, the soldier fires a bullet; please write down the velocity vector (v) of this bullet, based on the given coordinate system. (Round numbers to integers.) î+ ĵ+ where î, ĵ, and k are the unit vectors associated with the positive x, y, and z axes of the given coordinate system, respectively. Assumptions: the bullet travels along a straight line at a constant speed.
6. In the linkage below, the angular velocity of link 2 is 100 rad/s CCW. The linkage dimensions are given. When 02 is 90°, find 03, w3, and the velocity magnitude of point C on link 3 by using analytical method. A*A= 1.75 in A*B = 2.5 in AC = 5 in 02 B 3 Y 03 12 02 3 В A*
3. A body of a crane is moving and accelerating. The boom of the crane extends from crane horizontal to the ground (top view shown). The boom is both rotating and changing length, as shown. a. What are the radial and theta components of velocity of the far end of the boom (Point A) relative to the crane body (Point C)? b. Express velocity of Point A relative to Point C using i and j unit vectors. C. What are the radial and theta components of the acceleration of Point A relative to Point C? d. Express acceleration of Point A relative to Point C using i and j unit vectors. e. What is the velocity of Point A relative to the ground? f. What is the acceleration of Point A relative to the ground? g. What is the rate of change of the speed of Point A relative to the ground? (Hint: you are looking for aτ) ė = 0.8 rad/s Ö = 0.1 rad/s² A r = 5m r = 1.2 m/s r = 0 Y view from the top vc = 1.8 m/s ac = 1 m/s² X
Question 2 By using both vector and velocity/acceleration diagrams, find the angular velocity and angular acceleration of BC and also the velocity and acceleration of point C. (1.768, 2.05, 9.01, 2.41) 30° WAB 3 rad/s AB= 5 rad/s² 0.5 m B 0.6 m C 45°
SKETCH ONLY **** drawing only DRAW THE KINEMATIC DIAGRAM FOR THIS QUESTION ONLY DRAW THE KINEMATIC ( Question is Solved already) JUST DRAW THE KINEMATIC DIAGRAM ( Drawing only)