Exemple: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft 8 ft k = 9 lb/ft

Exemple: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft 8 ft k = 9 lb/ft

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: The 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is…

Q: 3. The 300-kg gear has a radius of gyration about its center of mass O of ko=400 mm. If the wheel is…

A: Given:The mass of the gear is .The radius of gyration is .The couple moment is .The radius is…

Q: Given: The 30 kg rod is released from rest when 0 = 0°. The spring is unstretched when = 0°. Find:…

A: The given question is solved using the principle of conservation of energy which states that total…

Q: The cable is subjected to a force of P (10²) lb. where t is in seconds. (Eigure 1). Figure…

Q: 30 kg pulley 10 kg carriage articulated at point O mounted. To the cable wound on the inner core of…

A: Given:Mass of the pulley (m1) = 30 kgMass of the carriage/car (m2) = 10 kgForce acting on the cable…

Q: The pendulum consists of a 10-kg uniform slender rod and a 15-kg sphere (IG-2/5 mr²). If the…

A: The mass of the sphere is ms=15 kg The mass of the rod is ml=10 kg. The applied torque is M=50 Nm.…

Q: The system is at rest with the spring unstretched when 8 = 0. The 5.3-kg uniform slender bar is then…

A: mass,m=5.3 kgb=0.45 mto determine:(a) Spring constant k(b)magnitude of angular velocity

Q: he thin 12 kg bar has an angular velocity in a clockwise direction ω = 1.5 rad/s when in position…

A: The mass of thin bar is given as,m=12 kg The angular velocity of thin bar is given as,ω=1.5 rad/s…

Q: The system is made up of the 1-m, 6.4-kg uniform rod AB and the two uniform disks (each of 0.14 m…

A: Write the given data. LAB=1 mmAB=6.4 kgθ=60°rA=rB=0.14 mmA=mB=2.1 kgg=9.81 m/s2

Q: The 153-kg wheel has a radius of gyration about its center of mass O of KO = 283 mm. If it rotates…

Q: 20 The spool has a mass of 40 kg and a radius of gyration of k=0.65 m. If the 20 kg weight is…

A: The mass of spool is .The radius of gyration is .The mass of weight is .The final angular velocity…

Q: The system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.15 m…

Q: The double pulley consists of two parts that are attached to one another. It has a weight of 52 lb…

Q: The 33-kg reel has a radius of gyration about its center O of ko = 240 mm. If it is released from…

Q: The 25-lb slender rod AB is attached to spring BC which has an unstretched length of 4 ft. If the…

Q: 17-107. The truck carries the spool which has a weight of 200 lb and a radius of gyration of kg = 2…

Q: The 50kg beam L = 3 m beam is laying on the ground at rest when the the following forces F = 735 N…

Q: The circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm…

A: Given data: R=270 mmm=36 kgk=235 mmr=105 mmT=50 Nθ=29°μs=0.08μk=0.07 Need to determine the angular…

Q: If a 6 kg rod is let go from rest when theta = 30 degrees, find the angular velocity of the pipe at…

Q: The 35-kg roll of paper rests along the wall where the coefficient of kinetic friction is μ = 0.2. A…

Q: The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at…

Q: The 75-kg wheel has a radius of gyration about its mass centre of kg = 375 mm. If it is subjected to…

Q: The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the…

Q: This is a Dynamics question. Answers: alpha = 14.7 rad/s2 Ax = 88.3 N…

A: Given data as per question Weight of plate = 24 kg Dimensions of the plate = 0.5 × 0.5 m

Q: The 100-kgkg spool is resting on the inclined surface for which the coefficient of kinetic friction…

Q: 900 N 4) The uniform 40 kg slender rod is being pulled by a cable that passes over the small smooth…

Q: The torsional spring is untwisted when the slender uniform rod is in the vertical position. The rod…

Q: The 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m.…

Q: 17-119. The spool has a mass of 100 kg and a radius of gyration of kg = 200 mm about its center of…

Q: The flat circular disk rotates about a vertical axis through O with a slowly increasing angular…

Q: lb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached…

Q: Specifically a dynamics problem. Question in pic below. Answer: vA = 1.40 m/s

A: Given data as per question Radius of gyration = 45 mm Mass of blocks = 2 kg Distance descended by…

Q: The 200-kg spool has a radius of gyration about kG its mass center of kg = 300 mm. If the couple…

Q: The spool has a mass of 500 kg and a radius of gyration kg = 1.30 m. It rests on the surface of a…

A: given: M = 500 kg k G = 1.3 m

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Example:
18-63. The uniform 80-lb garage door is guided at its
ends on the track. If it is released from rest at 0 = 0º,
determine the door's angular velocity at the instant =
30°. The spring is originally stretched 1 ft when the door
is held open, 0 = 0°. Assume the door can be treated as
a thin plate, and there is a spring and pulley system on
each of the two sides of the door.
Solution:
8 ft
A
8 ft
B
k = 9 lb/ft

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: Given

VIEW

Step 2: Calculation of angular velocity of door

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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

3. A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest, determine how far it must descend in order to attain an angular velocity @ = 70 rad/s. neglect the mass of the string and assume that the string is wound around the central peg such that the mean radius at which it unravels is r = 0.02 ft.
F17-3. The 20-1b link AB is pinned to a moving frame at A and held in a vertical position by means of a string BC which can support a maximum tension of 10 lb. Determine the maximum acceleration of the frame without breaking the string. What are the corresponding components of reaction at the pin A? A 3 ft 4 ft 1B F3ft - Prob. F17-3
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spool
At the instant shown, the spring is un-deformed. Determine the change in potential energy if the 20 kg disk (with radius of gyration kG = 0.5 m) rolls 2 revolutions without slipping. k= 200 N/m 3 m/s datum 0.3 m M = 2 Nm 30° O 1791 J O -1791 J O 1051 J O 1421 J O E) None of the above
The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B
The 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 N•m and is released from rest from the position as shown, determine its angular velocity w (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. `L MV Your Answer: Answer
0₁ Oy || 5 Kronk is asked to pull the lever. He applies a force of 20 N, causing the 8 kg lever to have an angular rad velocity of 3 || 6 8 . Determine the angular acceleration of the lever and the reaction forces at O. Assume the lever is a slender rod and that the lever was originally propped up to be level horizontally. The prop was removed at the instant Kronk applied the force. α = 5 Kronk applies the force at a length 7 and the lever has length 1 = 0.2 m. Use negative if CW 1 N N 1 rad 8² F (0) -CCW