17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity v of collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re- moved and collar A moves toward E. As it reaches a distance of 0.12 m from O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD.

17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity v of collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re- moved and collar A moves toward E. As it reaches a distance of 0.12 m from O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD.

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: PROBLEM 3 - In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with…

A: Given: Weight of the collar→WB=150 N Weight of the block A→WA=106.54 N Coefficient of…

Q: A 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane.…

A: Write the given information. Write the expression of the center of gravity at the initial state.…

Q: 6 Given: Find: c A solid cylinder of mass m and radius r is released from rest at A and rolls…

A: Given Data:The mass of the sphere is mThe radius of the sphere is r.The vertical distance between…

Q: A 30° В

A: To obtain the solution, we must use the interpretation of the Newton's law for the rotational body,…

Q: If either a simple or a compound pendulum is used to determine experimentally the acceleration of…

A: Acceleration of gravity = g Mass center = G To proof That the period of oscillation τ obtained is…

Q: A billiard ball of radius R and mass Mis struck with a cue in such a way that the line of action of…

Q: 5. Fig. 3 shows the overhead view of a uniform thin rod of length I and mass M that can rotate…

A: Given data: Vf=12vI=13Ml2 Need to determine the angular speed of the rod after the shot.

Q: L 15° 30 A uniform bar of mass 166.93 kg and length L=2.1 m is supported by two massless…

A: Given: Mass of the bar is 166.93 kg. Length of the bar is 2.1 m.

Q: t m=5kN-m applied to the lower link at C. Determine the angular velocity and the angular…

A: given:mass of verticlal bar m=150kgm=5kn-m

Q: A bowler sends his ball down the lane with a forward velocity of 10 ft/s and backspin of 12 rad/s.…

A: Draw the free-body diagram.

Q: A 15-lb and 3.6 ft long uniform bar is attached to a 25-lb cart. The system is known to start at…

A: Given: mass of the cart→mA=25 lb Mass of the bar→mAB=15 lb Length of the bar AB→AB=3.6 ft Because…

Q: A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the…

Q: Two panels A and B are attached with hinges to a rectangular plate and held by a wire as shown. The…

A: Write the expression of the principle impulse and momentum. Here, the system of momenta of the…

Q: Which of the following gives the closest value of the magnitude of the horizontal impulse at the…

A: GivenmAB=2 kgmC=1 kgVc1=3.50 m/sVc2=1.250 m/s

Q: If the earth were a sphere, the gravitational attraction of the sun, moon, and planets would at all…

A: The time period of the earth’s precess about GA is The velocity of precession about GA axis is

Q: particle M1, weighing 2.4 Ibs, is tied to a thread and describes a circular path in a horizontal…

Q: The double pulley shown has a weight of 35.0 lb and a centroidal radius of gyration of 5.0 in.…

A: According to the given data W=35lb WA=25lb WB=16lb K=5in h=4ft μk=0.25 We need to find The velocity…

Q: The shown collar has a mass of 1.4 kg and moves along the smooth vertical rod defined by the…

Q: Problem 3.76 Letting d velocity w if, after release, the projectile exits the tube with a speed of…

A: Given:d=3 ftL=7 ftv=9 ft/s

Q: ratio of velocity of the center of disk A

A: Given; Two disks A and B with identical mass (m) and radius (R) are initially at rest.They roll down…

Q: A large bug of mass m crawls directly outward from the center of a disk ith moment of inertia I and…

Q: A 48-kg advertising panel of length 2a = 2.4 m and width 2b = 1.6 m is kept rotating at a constant…

A: Given Draw side view of panel with principal axes Write Moment of inertial about x’ and y’

Q: Problem #5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown.…

Q: A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect the…

Q: The flywheel of an automobile engine, which is rigidly attached to the crankshaft, is equivalent to…

Q: A disk with mass m and radius R is released from rest at a height h and rolls without slipping down…

A: The disc rolls without slipping.

Q: Chika Fujiwara loves to play games. Ever curious, she observes that a uniform disk 0 (mass = 0.500…

A: Before the cable becomes taut, no force is exerted by cable, thus only force which the disk…

Q: The upper and lower ends of the arms are pivoted on the axis of the governor has equal arms of…

A: Given data, Length of the arms, L = 44 cm = 0.44 m Extended arm of the lower end, Le = 0.10 m…

Q: Two uniform cylinders, each of mass m= 9.5 kg and radius r= 125 mm, are connected by a belt as…

A: Draw the given diagram.To determine:The velocity of the center of cylinder A is

Q: Two disks of the same material are attached to a shaft as shown. Disk A has a radius r and a…

A: To find The value of n Given The radius of disk A ra is r. The thickness of disk A ta is 2b. The…

Q: Problem 24.2 The system is at rest in the position shown, with the 10 kg collar A resting on the…

Q: 1 kg 30° B A 500 mm

Q: In a governor of the Hartnell type the arms of the bell-crank levers are equal in length, and those…

A: To Find: (a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to…

Q: Two rotating rods, AE and BP, in the vertical plane are connected by a slider block, P, of…

Q: The double pulley shown in the figure has a mass of 3 kg and a radius of 100 mm rotation. Knowing…

A: GivenThe massof teh pulley is 3kgThe radius of gyration is 100mmThe force is P=24 kN

Q: A 41-kg square plate of uniform thickness and edge dimension b=0.20 m rotates in a vertical plane…

A: Given:the mass of the square plate is the square plate edge is the angle is the angular velocity of…

Q: L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is…

Q: 400 mm A B 250 mm 350 mm PROBLEM 16.5 A uniform rod BC of mass 4 kg is connected to a collar A by a…

A: Given data:-The mass of rod BC The length of cord AB Determine:-a) The smallest costant acceleration…

Q: 3. (17.21) A collar at point C with a mass of 1 kg is rigidly attached at a distance d = 300 mm from…

Q: Draw a typical stress vs strain tensile test curve for the following material and label the axis. A…

Q: Disk "A" of weight 5 lb and radius "r=3 in" is at rest and placed in contact with a belt which moves…

A: For before case when the disc is at rest the angular momentum will be zero. The free body diagram…

Q: Consider a rigid body initially at rest and subjected to an impulsive force F contained in the plane…

A: a)The impulse-momentum diagram for the given rigid body is as follows.

Q: (c) A spool of mass 60 kg is supported on two rollers at A and B as shown in Figure Q1(c). Neglect…

Q: Please display all work

Q: The 2.00-kg slender rod shown is hanging in a vertical position and is pin-supported at point A. The…

Q: 2. A uniform rod BC of mass 5 kg is connected to a collar A by a 250-mm cord AB. Neglecting the mass…

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

17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction
on a frame, consisting of the horizontal rod OE and the vertical rod CD,
which is free to rotate about its vertical axis of symmetry. The two collars are
connected by a cord running over a pulley that is attached to the frame at
O. At the instant shown, the velocity v of collar A has a magnitude of
2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re-
moved and collar A moves toward E. As it reaches a distance of 0.12 m from
O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that
instant the magnitude of the angular velocity of the frame and the moment
of inertia of the frame and pulley system about CD.
Fig. P17.81
01m

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: Step 1

Step 2: Step 2

Step 3: Step 3

Step 4: Step 4

Step 5: Step 5

Step 6: Step 6

Step 7: Step 7

Solution

Trending now

This is a popular solution!

Step by step

Solved in 8 steps

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

3
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Two uniform cylinders, each of mass m = 7.5 kg and radius r= 125 mm, are connected by a belt as shown. The system is released from rest when t = 0. B Determine the velocity of the center of cylinder A at t = 3.6 s. The velocity of the center of cylinder A is m/s ↓.
Problem 17.76 The 19.2-kg roll of paper has a radius of gyration k = 120 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB as shown in (Eigure 1) The roll rests on the floor, for which the coefficient of kinetic friction is 0.2. A horizontal force F-60 N is applied to the end of the paper. Figure 400 mm 300 mm/ C <1 of 1 Part A Determine the initial angular acceleration of the roll as the paper unrolls Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. VAE Ivec 3 a= 7.54 a Previous Answers Request Answer C QMNC ? Submit J * Incorrect; Try Again; 3 attempts remaining rad/s²
8. A block (mass m1) lying on a frictionless inclined plane is connected to a mass m2 by a massless cord passing over a pulley. (a) Determine a formula for the acceleration of the system of the two blocks in terms of m1, m2, Theta, and g. (b ) What conditions apply to masses m1, and m2 for the acceleration to be in one direction (say m1 down the plan) or in the opposite direction ?
Dynamic Problem, reply as soon as posible. The double pulley system weighs 30 lbs. and has a 6.5-inch center radius of gyration. Cylinders A and B areconnected to the double pulley by cords that wrap around the circles whose radii are shown. Thecoefficient of kinetic friction between block B and the surface is 0.25. If the system is released from rest atposition shown, determine:A) The velocity of cylinder A just before hitting the ground.B) The total distance cylinder B travels before coming to rest.
Main blades 7 m Tail propeller For the helicopter shown, the cab weights 1000 kg and is initially at rest. It is known that the main blades rotate clockwise with an angular velocity of 180 rpm. In the helicopter, tail propeller is used to prevent rotation of the cab as the speed of the main blades is changed. a) Assuming that the tail propeller is not operating, determine the final angular velocity of the cab after the speed of the main blades has been changed from 180 rpm to 300 грm, b) Assuming that the tail propeller is operating and that the angular velocity of the cab remains zero, determine the final horizontal velocity of the cab when the speed of the main blades has been changed from 180 rpm to 300 rpm. Also determine the force exerted by the tail propeller if the change in speed takes places uniformly in 10 s. Notes: The speed of the main blades is measured relative to the cab. The weight and the radius of gyration of the cab are 1000 kg, and 1000 mm, respectively. Each of the…
12. Bicycle Wheel. A simple bicycle wheel composed of a tire of mass 2.00 kg and radius 0.600 m and 12 radial spokes each of mass 0.100 kg is lain flat on the ground and allowed to spin about its center such that the tire is moving at v = 5.00 m/s. A rock of mass 0.800 kg moving at 3.00 m/s hits one of spokes perpendicularly and at a distance of 0.200 m away from the center, as shown in the figure. If the rock sticks to the spoke and the wheel continues to rotate about its center, find the resultant angular velocity of the wheel-rock combination.
Problem # 5) A pulley having a moment of inertia of 0.191b-ft-s² is connected to two masses as shown. The masses A and B have linear acceleration of 1.85ft/s² upward and 1.11 ft/s² downward, respectively. Assuming no axle friction, determine (a) the tension forces TA and TB in the cables connecting the masses, and (b) the angular acceleration a of the pulley. Include and present the Free Body Diagram and Inertial Response Diagram as part of the solving process. Hint #1: Hint #2: use mA = 0.1553slugs, and mв = 0.3106slugs treat each body separately 6 in. B 10 lb 10 in. A 5 lb
A slender rod of length l is pivoted about a point C located at a distance b from its center G. It is released from rest in a horizontal position and swings freely. Determine (a ) the distance b for which the angular velocity of the rod as it passes through a vertical position is maximum, (b) the corresponding values of its angular velocity and of the reaction at C.
A 240-lb block is suspended from an inextensible cable which is wrapped around a drum of 1.25-ft radius rigidly attached to a flywheel. The drum and flywheel have a combined centroidal moment of intertia of 10.5 lb-ft-s^2. At the instant shown, the velocity of the block is 6 ft/s directed downward. The bearing at A as a frictional moment of 60 lb-ft. What is the kinetic energy of the system after the block moved after 4ft? (in ft-lb)
Q2) A loaded Porter governor has four links each 200 mm long and are hinged at a distance of 40 mm from the axis of rotation. The mass of each ball is 2 kg and mass of the sleeve is 20 kg. The governor sleeve begins to rise at 300 r.p.m. when the links are at an angle of 35° to the vertical. Assuming the friction force to be constant, determine the minimum and maximum speed of rotation when the inc lination of the arms to the vertical is 40°.
Ignore hand writing