Problem 20.51At the instant shown, the arm OA of the conveyor belt is rotating about the z axis witha constant angular velocity w₁ = 5.8 rad/s, while at the same instant the arm isrotating upward at a constant rate w₂= 3.8 rad/s. (Figure 1)FigureO2r = 6 ft0-45°1 of 1Part AIf the conveyor is running at a rate r = 5 ft/s, which is increasing at r = 8 ft/s², determine the velocity of the package P at the instant shown. Neglect the size of the package.Enter the x, y, and z components of the velocity in feeet per second to three significant figures separated by commas.vp =SubmitPart Bap=IVE ΑΣΦSubmit↓↑Request AnswerDetermine the acceleration of the package P at the instant shown.Enter the x, y, and z components of the acceleration in feet per second squared to three significant figures separated by commas.vecAΣo↓↑vec 5Request Answer< Return to Assignment?Provide Feedbackft/s?ft/s²8 of 8Review

Draw the given diagram.Write the position of the package with respect to O.Write the velocity of P due to .Now, write the velocity of P due to .Then, velocity of package with respect to O.Write the velocity of O at this instant.Calculate the velocity of package P at this instant.Write the acceleration of O.Calculate the acceleration of package P at this instant.

Engineering

Mechanical Engineering

At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ = 5.8 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂= 3.8 rad/s. (Eigure 1)

At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ = 5.8 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂= 3.8 rad/s. (Eigure 1)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Mechanism shown consists of two 8-pound rods AB and CD. each and a 10 lab AD bar. When θ = 0 °, the…

Q: Bar OA has the angular motions of 3.4 rad/s, and 7.2 rad/s2 is shown. If angular velocity of Bar AB…

Q: The disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration…

Q: The circular disk of 200-mm radjus rotates about the z-axis at the constant rate w₂= 25.8 rad/s, and…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

Q: The rotor B spins about its inclined axis OA at the angular speed N₁ = 215 rev/min, where 3 = 28°.…

Q: A disc rolls straight on a flat floor without slipping. The magnitude of the angular velocity ω= 3.0…

A: Given Radius, r = 1 m Angular velocity = 3 rad/s Find Velocity

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: conveyor belt velocity conveyor belt acceleration. angular velocity is angular velocity is the…

Q: 4) The T-shpaed body rotates about a horizontal axis through point O. At the instant shown, its…

A: The angular velocity is The angular acceleration is

Q: 2 and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to…

Q: Slider C moves downward at 4 ft/s. Find the angular velocity of links BC and AB, as well as the…

A: Angular velocity of AB, BC needs to be calculated Velocity at B needs to be calculated

Q: At a given instance, the fan shown below has an angular motion w₁ = 0.6 rad/s about the z-axis,…

A: Find the magnitude of blade's angular acceleration.

Q: At some instant in the motion of a lamina in its own (Ox, y) plane the displacement from one of its…

A: given data; ⇒displacement (d)=(-5i+10j) cm⇒velocity of P =(7i-2j) cm/s⇒x-component of velocity Q…

Q: 3- If link CD has an angular velocity of cD 6 rad/s, determine the velocity of point E on link BC…

A: Given Data- Angular velocity of CD=6 rad/s We have to find velocity of point E and angular velocity…

Q: If rod CD is rotating with an angular velocity wCD. At the instant shown in the figure, which letter…

Q: At the instant shown, the shaft and plate rotates with an angular velocity of 14 rad/s and angular…

A: Given data: ω=14 rad/sα=7 rad/s Need to determine the velocity and acceleration of point D.

Q: 4. For the motion of block B in the system below use the following values: VB = 4 m/s; ag = 2 m/s².…

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the axis with a constant…

Q: Q6 Member AB has the angular motions shown in Figure Q6. Determine the angular velocity and angular…

Q: has A disk is into a fixed axis of rotation through its center as shown, and a cord wraps around it,…

A: (a) Write the given data. ω0=2.2 rad/sα=6.4 rad/s2 CCWr=1.52=0.75 m

Q: 4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1…

A: Find the magnitude of acceleration of the bucket.

Q: Disk A rotates around the vertical z-axis with a constant angular velocity ω = dθ/dt = π/3 rad/s. At…

A: Step 1:To calculate the magnitude of the total acceleration vector a of point P at t=0.5 seconds, we…

Q: At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant…

A: conveyor belt velocity conveyor belt acceleration. angular velocity is angular velocity is the…

Q: Q5: The assembly shown consists of a 10kg rod AB and a 20kg circular disk C. If it is subjected to a…

Q: mechanism shown, vertical rod have upward velocity v= 3ft/s. find speed of point C and A using…

A: Given that, Vc=Vc i^Using right hand rule,ω=ω k^ Find the velocity vector of B, VB=V j^VB=-3 j^ Find…

Q: Problem 1 If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB…

Q: the member AB is 0.5 m and 2 Kg, respectively. The G represents the center of mass of the slender…

Q: At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It is…

A: To find: The angular acceleration of the rod. Given: The mass of the rod is m=32 kg. The moment…

Q: At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular…

A: The angular velocity is .The angular acceleration is .

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Problem 20.51
At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with
a constant angular velocity w₁ = 5.8 rad/s, while at the same instant the arm is
rotating upward at a constant rate w₂= 3.8 rad/s. (Figure 1)
Figure
O
2
r = 6 ft
0-45°
1 of 1
Part A
If the conveyor is running at a rate r = 5 ft/s, which is increasing at r = 8 ft/s², determine the velocity of the package P at the instant shown. Neglect the size of the package.
Enter the x, y, and z components of the velocity in feeet per second to three significant figures separated by commas.
vp =
Submit
Part B
ap=
IVE ΑΣΦ
Submit
↓↑
Request Answer
Determine the acceleration of the package P at the instant shown.
Enter the x, y, and z components of the acceleration in feet per second squared to three significant figures separated by commas.
vec
AΣo↓↑vec 5
Request Answer
< Return to Assignment
?
Provide Feedback
ft/s
?
ft/s²
8 of 8
Review

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Part (a)-Write the given data.

VIEW

Step 2: Calculate the velocity of Package at the instant shown.

VIEW

Step 3: Part (b)-Calculate the acceleration of Package P with respect to O.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 15 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The electric fan is mounted on a swivel support such that the fan rotates about the z axis at a constant rate of w₂ = 1 rad/s and the fan blade is spinning at a constant rate wę = 54 rad/s. 6 = 45° for the motion. (Figure 1) Figure W: @₂ 1 of 1 Part A Determine the x, y, and z components of the angular velocity of the blade using scalar notation. Express your answers in radians per second to three significant figures separated by commas. (w) x, (w)y, (w) x = Submit Request Answer Part B (a)x, (a)y, (a)₂ = Submit Provide Feedback ΑΣΦ Determine the x, y, and z components of the angular acceleration of the blade using scalar notation. Express your answers in radians per second squared to three significant figures separated by commas. V— ΑΣΦ Request Answer vec ↓↑ vec ? M rad/s ? rad/s² Next >
The 250 g disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular velocity ω2 of 6 rad/s. Find the Kinetic energy of the disk with this information.
The rod AB of the mechanism of the image rotates counterclockwise at an angular velocity of 5 rad / s and an angular acceleration of 0 rad / s ^ 2. The position of the pin A moving in the groove at the moment of the picture is xA = 1.3 m and yA = 0.9 m a) What is the relative speed of pin A to rod AB? b) What is the magnitude of the angular velocity ωAC of the rod AC at the moment of the image
At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ = 5.6 rad/s, while at the same instant the arm is rotating upward at a constant rate w2 = 4.4 rad/s. (Figure 1) Figure 0₁ r = 6 ft 10=45° A 1 of 1 Part A If the conveyor is running at a constant rate r = 5 ft/s, determine the velocity of the package P at the instant shown. Neglect the size of the package. Enter the x, y, and z components of the velocity in feet per second to three significant figures separated by commas. ΠΑΣΦ11 vp = Submit Part B ap = Request Answer Submit Determine the acceleration of the package P at the instant shown. Enter the x, y, and z components of the acceleration in feet per second squared to three significant figures separated by commas. IVE ΑΣΦ1 Request Answer vec < Return to Assignment vec ? Provide Feedback ft/s ? ft/s²
THIS IS A SUPPLEMENTAL STUDY PROBLEM GIVEN AS AN EXTRA EXAMPLETHIS IS NOT A GRADED ASSIGNMENT
If the rod AB rotates counterclockwise with angular velocity, ω AB =8rad / s Calculate the velocities of the blocks C and D at the moment shown in the figure below.
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
Bar OA has a counterclockwise angular velocity wo = 4.0 rad/s. Rod BC slides freely through the pivoted collar attached to OA. Determine the angular velocity Wac of rod BC (positive if counterclockwise, negative if clockwise) and the velocity vrel of collar A relative to rod BC (positive if moving from B to C, negative if it moves from C towards B). 290 mm, 45° 59° B Answers: WBC= i rad/s Vrel = i m/s
A drum of radius r1 = 3 in. is mounted on a cylinder of radius r2 = 6 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 in./s, causing the cylinder to roll without sliding. Determine: 1. The angular velocity of the cylinder. 2. The velocity of the center of the cylinder A. Select one: A. ω=6 rad/s; and VA = 30 in/s. B. ω=4 rad/s; and VA = 16 in/s. C. ω=5 rad/s; and VA = 25 in/s. D. ω=2 rad/s; and VA = 6 in/s.
Consider two sliders connected by a rod of length L₁ + L2 moving within the perpendicular slots below. At the instant shown, the slider denoted by O' is moving downward at a constant speed of VA and the angle 0. The rod simultaneously rotates at a rate of w = 0 and with rotational acceleration a = Ö. An inertial reference frame I = {0,112,13} and a translating and rotating body frame B = {O', 6₁, 62, 63} are defined as shown. 1. Determine the scalar speed of the slider B, VB 2. Determine the magnitude of the inertial acceleration of the tip of the rod, || (ac/o)||. Write the angular acceleration and velocity using the symbols & and w in your answer. 3. Determine the angular acceleration & = Ö in terms of the variables given. b3 b VA iz bi 0 Li UB L2