**Problem Statement:**Given the hydraulic cylinder AB shortens at a constant rate of 0.15 m/s so that girder G of a bascule bridge is raised. Find the angular velocity of the bridge girder when Theta = 60°.**Diagram Explanation:**The image depicts a mechanical system of a bascule bridge where:- A hydraulic cylinder (AB) is connected to point A on the ground and point B on the girder G.- The girder G is modeled as a rigid body pivoting counterclockwise about point C.- The initial setup includes a horizontal distance of 5 meters from point A to point C, and a vertical height of 3 meters for the girder's position.- An angle θ is marked at point C, showing the inclination of the girder.- The girder is represented with an angled surface, and the angle θ is specified as 60°.This scenario models a real-world problem where the rate of contraction of the hydraulic cylinder is used to determine the angular velocity of the bridge girder. The analysis involves the use of kinematics to find the relationship between linear speed and angular motion.

Answered: Image /qna-images/answer/067dc44c-a9b7-441e-9fa7-9fe39fb4c3a0.jpg

Answered: Given the hydraulic cylinder AB…

Given the hydraulic cylinder AB shortens at a constant rate of 0.15 m/s so that girder G of a bascule bridge is raised. Find the angular velocity of the bridge girder when Theta =60°.

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: Determine the angular velocity of link BC at the instant shown

A: To find: The angular velocity of link BC = ?

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

Q: The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable…

Q: 1 ft vc = 4 ft/s В 1 ft 45° A Use Instantaneous Center to determine the Angular Velocity of Link BC.…

A: Given Data: L2=1 ft and L3=1 ft Angular velocity of link 3 ω3=?

Q: Slider 1 is moving downward at a speed of 1 = 2 m/s and with a downward acceleration of a = 0,25 m/s…

A: Dear StudentsAll the solution given in below steps

Q: In the figure shown, the hydraulic cylinder moves upwards with a constant speed of Va=0.2 m/s,…

A: To find: Angular velocity of the imaginary line drawn from its axis of rotation to any point on its…

Q: An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant…

A: Given : Angle, θ= 45 Velocity of C, vc = 14 m/s Angular acceleration of C, αc=45rad/s2 To find : x -…

Q: B 0,5 m "AB= 4 rad/s - 4 rad/s %n " 0 rad/s² 30° 1 m 30

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: Explain the term Strain Hardening?

A: The working of the metals below their recrystallisation temperature is known as cold working…

Q: The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The…

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

Q: The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the r A to move with velocity…

Q: 1. At this moment Bar AB has the angular motions shown. Determine the velocity and acceleration of…

A: Given data As per figure AB = 0.5 m BC = 1m WAB = 4 rad / s aAB= 6 rad / s2 given figure

Q: 2. If link 2 is rotating at a constant 2*pi radians per second CCW, determine the angular velocity…

A: Step 1: Step 2: Step 3: Step 4:

Q: At the instant shown, 0 = 60°, and rod AB is subjected to a deceleration of 16 m/s² when the…

A: Given data as per question velocity at point A =10 m/s Acceleration at point A=16 m/s2 calculating…

Q: At the instant shown below, point O has got a velocity of -5,9i-0.5j m/s while the bat is rotating…

A: Given: The velocity of point O, V=-5.9i-0.5j Angular velocity of the bat; ω=4.3 rad/s ccw about the…

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

**Problem Statement:**

Given the hydraulic cylinder AB shortens at a constant rate of 0.15 m/s so that girder G of a bascule bridge is raised. Find the angular velocity of the bridge girder when Theta = 60°.

**Diagram Explanation:**

The image depicts a mechanical system of a bascule bridge where:
- A hydraulic cylinder (AB) is connected to point A on the ground and point B on the girder G.
- The girder G is modeled as a rigid body pivoting counterclockwise about point C.
- The initial setup includes a horizontal distance of 5 meters from point A to point C, and a vertical height of 3 meters for the girder's position.
- An angle θ is marked at point C, showing the inclination of the girder.
- The girder is represented with an angled surface, and the angle θ is specified as 60°.

This scenario models a real-world problem where the rate of contraction of the hydraulic cylinder is used to determine the angular velocity of the bridge girder. The analysis involves the use of kinematics to find the relationship between linear speed and angular motion.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

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

6. Multiple forces are acting on the 3.00 kg uniform beam below. Find the magnitude and direction of the angular acceleration of the beam about the axis of rotation at C. * 25 N 1 30° 20° 45° 2.0 m C 10 N 4.0 m 30 N
Please solve with cross product: V= w X r
Parvin Bhai
The bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular velocity of 4.00 rad/s and spring is stretched by 0.30 m. The force constant of the spring is 25.0 N/m.a) Determine whether or not the bar will reach the horizontal position.b) If the bar becomes horizontal, calculate its angular velocity at that position. If not, calculate the angle the bar makes with the horizontal when it comes to rest momentarily.
In the position shown, the angular velocity and acceleration of the AB bar are wAB = 7.7 rad/s clockwise and aAB=9.1 rad/s2 counterclockwise. Find the magnitude of the acceleration of the slider C at this position. 1.5 m 1.5 m Im B
An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 25°, the magnitude of the velocity vector of point C is 20 m and the angular acceleration of link CD is 45 rad in the CCW direction. s2 rad Determine the angular acceleration vector of link CE (in ) at this instant. Consider L = 6 metres. E 2 4 M
The base structure of the firetruck ladder rotates about a vertical axis through O with a constant angular velocity 2-9.4 deg/s. At the same time, the ladder unit OB elevates at a constant rate ip = 8.9 deg/s, and section AB of the ladder extends from within section OA at the constant rate of 0.36 m/s. At the instant under consideration, -26°.OA -7.3 m. and AB -6.3 m. Determine the magnitudes of the velocity v and acceleration a of the end of the ladder. Answers: v= m/s m/s²
Please help with the attached problem
REN 5.2.2/3 The hoop is cast on the rough surface such that it has an angular velocity = 3 rad/s and an angular acceleration a = 8 rad/s². Also, its center has a velocity of v.= -51 m/s and a deceleration a 21 m/s². Determine the acceleration of point B at this instant. DIS 12 ~15 D f Nº 0.39 an=r w² an= 0.s. 32 an = 43 an B 30° 0.5 m w = 3 rad/s x = 8 rad/s² D
Problem 1 If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB at the instant shown. @AB 2 ft 3 ft 30° C vc = 4 ft/s
Can anyone help me with this question
An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 10 m and the angular acceleration of link CD is 35 rad in the CCW direction. Determine the y-component of the acceleration vector of point C in m at this instant. Consider L 6 metres. E AO