The collar \( P \) slides outward at a constant relative speed \( u \) along rod \( AB \), which rotates counterclockwise with a constant angular velocity of 18 rpm. Knowing that \( r = 250 \) mm when \( \theta = 0 \) and that the collar reaches \( B \) when \( \theta = 90^\circ \), determine the magnitude of the acceleration of the collar \( P \) just as it reaches \( B \).The diagram depicts a rod \( AB \) with the collar \( P \) shown as a green sliding element on the rod. The rod rotates counterclockwise, indicated by an angular velocity \( \omega \). The rod's angle \( \theta \) is marked from a reference line at point \( A \). The initial distance \( r \) is 500 mm when \( \theta = 0 \).The magnitude of the acceleration of the collar \( P \) just as it reaches \( B \) is ______ m/s\(^2\).

Write the equation for uniform rotational motion θ = θo +wt t= θ – θo /w = (90-0) (π/180) / 18* 2…

The collar Pslides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular velocity of 18 rpm. Knowing that r= 250 mm when e = 0 and that the collar reaches B when 0 = 90°, determine the magnitude of the acceleration of the collar Pjust as it reaches B. B 500 mm The magnitude of the acceleration of the collar Pjust as it reaches Bis |m/s2.

The collar Pslides outward at a constant relative speed u along rod AB, which rotates counterclockwise with a constant angular velocity of 18 rpm. Knowing that r= 250 mm when e = 0 and that the collar reaches B when 0 = 90°, determine the magnitude of the acceleration of the collar Pjust as it reaches B. B 500 mm The magnitude of the acceleration of the collar Pjust as it reaches Bis |m/s2.

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: A plastic film moves over two drums. During a 4-s interval the speed of the tape is increased…

A: givenV0=3.5ft/s =42inch/secV1=6ft/s =72inch/sec

Q: For a short time the bucket of the backhoe traces the path of the cardioid r=25(1−cosθ)ft. The boom…

Q: A car with tires of 700 mm diameteraccelerates at a constant rate from rest to a elcoity of 68 km/h…

Q: A belt moves between the pulleys of the crankshaft of the air conditioning fan and over the idler…

Q: 1 Q2.The crane shown rotates at the constant rate w = 0.3 rad/s; simultaneously, the telescoping…

Q: If the 50-mm-radius motor pulley A of the clothes dryer rotates with an angular acceleration of α…

Q: Problem 3. The train on the circular track travels with the constant speed indicated, while the…

A: Given-Information:- vA = -28 ft/s...in diagram the value is 28vB = 65 ft/sspeed rate = 2.3 ft/s2…

Q: The platform is rotating about the vertical axis such that at any instant its angular position is 0…

Q: A 3-in.-radius drum is rigidly attached to a 5-in.-radius drum as shown. One of the drums rolls…

A: a) The acceleration of point B is upward. Since the drums are rigidly attached, the linear…

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

Q: The angular acceleration of the disk is defined by a = 3¢² + 12 rad/s², where t is in seconds. If…

A: Given: α=3t2+12 rad/s2 ωo=12 rad/s t=2s

Q: Both 15-cm-radius wheels rll without slipping on the horizontal surface. Knowing that the distance…

A: For wheel 1, Let the speed of wheel 1 be ω1Angular acceleration of wheel 1 be α1As wheel us pure…

Q: components of the acceleration of P.

A: Solution : Given data : θ˙ = 7.6 rad/sθ¨ = -37 rad/s2r = 203 mm = 203 ×10-3 mr˙ = -310 mm/s = -310…

Q: A rocket sled is tested on a straight track that is built along a meridian. Knowing that the track…

A: Given data: The velocity of the rocket sled, v = 900 km/hr. Calculate the angular velocity of the…

Q: Initially the blades of a two-blade horizontal axis wind turbine are turning at angular velocity of…

A: The objective of this question is to determine the distance travelled by point P at the tip of the…

Q: Member A has the angular velocity and angular acceleration shown, and WAB = 1.15 rad/s. Determine…

Q: Member AB has the angular motions shown in. Suppose that w = 3.2 rad/s and a = 5.3 rad/s. a 0.5 m…

A: Given, ωAB=3.2 rad/sαAB=5.3 rad/s2

Q: 2. The disk is originally rotating at w=8 rad/s. If it is subjected to a constant angular…

A: Initial angular speed of disk is 8 rad/s Angular acceleration is 6 rad/s^2 Required: Velocity,…

Q: Steel tape is being wound onto a spool that rotates with a constant angular velocity ω0 . Denoting…

A: Given Data: The angular velocity of spool is ω0. Radius of spool is r. For one complete circle the…

Q: A disc rolls without slipping. The magnitude of the angular velocity w= 1.0 rad/s, the angular…

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

A: N=600 rpmt=4s

Q: The cars on the amusement-park ride rotate around the axle at A with a constant angular velocity…

A: The angular velocity frame is .The angular velocity of axle is .

Q: A motorcycle starts at t = 0 on a circular track 81 component of the acceleration in m/2 is a, = 2 +…

Q: A car travels along the circular curve of radius r = 294 ft. At the instant shown, its angular rate…

Q: The belt sander shown is initially at rest. If the driving drum B has a constant angular…

A: Given data: Angular acceleration of the drum, a = 120 rad/s2. Angular velocity when t=0 s, ωo = 0…

Q: For a short time the arm of the robot is etending at a constant rate such that i- 1.5 ft/s when r- 3…

Q: Load B is connected to the double pulley by one of the two unstretched cables as shown. The movement…

Q: The conical spool rolls on the plane without slipping. The axle has an angular velocity of wwi = 3.4…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

The collar \( P \) slides outward at a constant relative speed \( u \) along rod \( AB \), which rotates counterclockwise with a constant angular velocity of 18 rpm. Knowing that \( r = 250 \) mm when \( \theta = 0 \) and that the collar reaches \( B \) when \( \theta = 90^\circ \), determine the magnitude of the acceleration of the collar \( P \) just as it reaches \( B \).

The diagram depicts a rod \( AB \) with the collar \( P \) shown as a green sliding element on the rod. The rod rotates counterclockwise, indicated by an angular velocity \( \omega \). The rod's angle \( \theta \) is marked from a reference line at point \( A \). The initial distance \( r \) is 500 mm when \( \theta = 0 \).

The magnitude of the acceleration of the collar \( P \) just as it reaches \( B \) is ______ m/s\(^2\).

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

In the mechanism shown, the block B is constrained to move vertically and is attached to the bar BD. The point A on the bar AD is fixed. Express all your answers in the component system shown. At the instant shown, the block B is moving downward at a constant speed of 2.6 ft/s, 9 45°, and 0 = 33°. If I = 14 in. and d = 8 in., determine the angular accelerations of bars AD and BD at this instant. = B a AD a BD = = 8 rad/s² | rad/s²
2. For a short period of time, the motor turns gear A with a constant angular acceleration, starting from rest. The cord is wrapped around pulley D which is rigidly attached to gear B. 2) if the radii are: A = 70 mm, r = 230 mm, and rp = 90 mm, the constant angular acceleration of gear A, AA is 4.4 rad/s², determine the angular acceleration of gear B, CB, in rad/s². Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. αA A P Your Answer: 1'B Answer -1'p'
The gear starts from rest and the angular position of line OP is given by e = 2t³ – 7t2 where O is in radians and t is in seconds. The magnitude of the total acceleration of point P when t = 2s is: а. 38 2-ft, b. 20 s2 с. 10 s2 32 d.
Q14. The collars are pin connected at B and are free to move along rod OA and the [C. (1 + cos 0)] m, curved guide OC having the shape of a cardioid, î where C = 0.3. The rod OA moves at a constant angular velocity 0 = 1.6 rad/s. Determine the magnitude of the acceleration (in m/s²) of the collars at the instant = 1.0 rad. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Your Answer: Answer B C =
Question: The rod OA rotates clockwise with a constant angular velocity of 6 rad/s. Two pin-connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r=200(2−cosθ)mm Part A: Determine the magnitude of the acceleration of the slider blocks at the instant θ = 105 ∘ Express your answer to three significant figures and include the appropriate units.
The 200-mm-radius disk rolls without sliding on the surface shown. Knowing that the distance BG is 160 mm and that at the instant shown the disk has an angular velocity of 9.2 rad/s counterclockwise and an angular acceleration of 2.6 rad/s² clockwise, determine the acceleration of A. 800 mm The acceleration of A is 200 mm B 1 m/s² →.
To speed up the unrolling of a telephone cable the trailer with the reel of cable starts from rest and is given a constant acceleration of 2.1 ft/sec². Simultaneously, the tow truck pulls the free end of the cable horizontally in the opposite direction with a constant acceleration of 3.4 ft/sec². If both vehicles start from rest at the same instant, determine the magnitude of the total acceleration of point A on the forward end of the horizontal reel diameter (a) just as the motion starts and (b) at a time t = 1.5 sec after the start of the motion. 3.4 ft/sec² 1/9 2.7' A 2.1 ft/sec²
The 200-mm-radius disk rolls without sliding on the surface shown. Knowing that the distance BG is 160 mm and that at the instant shown the disk has an angular velocity of 11 rad/s counterclockwise and an angular acceleration of 3.5 rad/s² clockwise, determine the acceleration of A. (Round the final answer to two decimal places.) A 800 mm The acceleration of A is m/s² →→ B 200 mm
Two friction discs A and B will come into contact, without slipping, when the angular velocity of disc A is 320 rpm counterclockwise. Disk A starts from rest at t = 0 and has a constant angular acceleration with magnitude a. Disk B starts from rest at time t = 4 s and has a constant angular acceleration in a clockwise direction, also with a magnitude a. Determine the magnitude of the required angular acceleration a, in rad/ s². B 150 mm 200 mm
2 A plastic film moves over two drums. During a 4-s interval the speed of the tape is increased uniformly from vo = 2 ft's to vị = 4 ft/s. Knowing that the tape does not slip on the drums, determine (a) the angular acceleration of drum B, (b) the number of revolutions executed by drum B during the 4-s interval. Vo 9 in. B 15 in.