The uniform 4-kg cylinder A with a radius of r = 150 mm has an angular velocity of wo = 50 rad/s when it is brought into contact with an identical cylinder B that is at rest. The coefficient of kinetic friction at the contact point D is Mk. After a period of slipping, the cylinders attain constant angular velocities of equal magnitude and opposite direction at the same time. Knowing that cylinder A executes three revolutions before it attains a constant angular velocity and that cylinder B executes one revolution before it attains a constant angu- lar velocity, determine (a) the final angular velocity of each cylinder, (b) the coefficient of kinetic friction μk.

The uniform 4-kg cylinder A with a radius of r = 150 mm has an angular velocity of wo = 50 rad/s when it is brought into contact with an identical cylinder B that is at rest. The coefficient of kinetic friction at the contact point D is Mk. After a period of slipping, the cylinders attain constant angular velocities of equal magnitude and opposite direction at the same time. Knowing that cylinder A executes three revolutions before it attains a constant angular velocity and that cylinder B executes one revolution before it attains a constant angu- lar velocity, determine (a) the final angular velocity of each cylinder, (b) the coefficient of kinetic friction μk.

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: 16.6 For the truck of Sample Prob. 16-1. Determine the distance through which the truck will skid if…

A: To Find : The magnitude of normal reaction and friction force, a) The rear wheel brakes fail to…

Q: The 200-mm-radius brake drum is attached to a larger Bywheel. The total mass moment of inertia of…

Q: End A of the 8-kg uniform rod AB is attached to a collar that can slide without friction on a…

A: To find: The angular acceleration of the rod and the reaction at A. Given: The length of the rod, l…

Q: 16.105 A half section of a uniform thin pipe of mass m is at rest when a force P is applied as…

A: Note: As per Bartleby Answering guidelines, we are supposed to give answer for first question only…

Q: A uniform rod AB, of mass 15 kg and length 1 m, is attached to the 20-kg cart C. Neglecting…

A: Draw the free body diagram of the given system.

Q: The 16-lb sphere and 11-lb block (shown in section) are secured to the arm of negligible mass which…

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: Sphere A Mass m and radius r rolls without slipping with a velocity V1 on a horizontal surface when…

Q: Assuming that the tail propeller in Prob. 17.84 is operating and that the angular velocity of the…

A: Given Blade RPM minimum = 180 rpm = 6π rad/s Blade RPM maximum = 240 rpm = 8π rad/s Weight of cab =…

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 185-lb uniform…

A: Given data :w = 185 lbSpring constant = kT1= 0 g= 32.2 ft/s2θ= 30°θ2 =…

Q: A spool with radius R = 3 ft is released from rest on an incline with 8 = 30°, and its center, which…

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform…

A: Given: The weight of the door, W = 200 lb The spring constant, k = 40 lb/ft The initial position of…

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform…

A: Given data Weight of door, W = 200 lb. Angular velocity at vertical position, ω = 0.6 rad/s. From…

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

Q: 2) The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is…

A: The weight of rod, W = mg = 25 lb The length, L = 6 ft The position, r = 3x20.5 The angle = 30…

Q: The rotor of an electric motor has an angular velocity of 3520 rpm when the load and power are cut…

A: Given: The angular velocity is N1=3520 rpm. The weight of the rotor is W=110 lb. The radius of…

Q: The uniform 4-kg cylinder A with a radius of r = 150 mm has an angular velocity of w0 = 50 rad/s…

A: Given data

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: The 7.5-lb disk A has a radius r A = 6 in. and is initially at rest. The 10-lb disk B has a radius r…

A: Given: The mass of disk A is mA= 7.5 lb. The radius of disk A is rA=6 in. The mass of disk B is…

Q: The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is confined…

Q: 17.48 A 6-lb sphere of radius r = 5 in. with an initial clockwise angu- lar velocity wo = 90 rad/s…

A: The initial angular velocity of the sphere is ωi=90 rad/s (CW) . The weight of the sphere is mg=6 lb…

Q: The mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform…

Q: Disk A has a mass of 6 kg and an initial angular velocity of 360 rpm clockwise; disk B has a mass of…

A: Mass of disk A, mA=6 kg,Mass of disk B, mB=3 kg,Initial Angular velocity of disk A, ωA=360…

Q: A homogeneous sphere S, a uniform cylinder C, and a thin pipe P are released from rest on the…

A: Calculated the running sequence of sphere, cylinder and thin pipe.

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: A bar of mass mb is to be released from rest at the position shown. Three possible designs use…

A: Given: To find: Which would move fastest and slowest

Q: A disk with radius R and mass m begins from rest and then moves without slipping while being pulled…

A: In the above diagram, N is normal force, m is mass, g is gravitational acceleration, P is applied…

Q: A bowler projects an 8-in.-diameter ball weighing 12 lb along an alley with a forward velocity v0 of…

A: The diameter of the ball is: d=8 in×0.0833 ft1in=0.66 ft The weight of the ball is: w=12 lb The…

Q: ! Required information A T-bar consisting of two uniform bars, each of length L = 3.5 ft, is…

A: The length of T-bar is L = 3.5 ft.

Question

17.8 The uniform 4-kg cylinder A with a radius of r = 150 mm has an
angular velocity of wo = 50 rad/s when it is brought into contact
with an identical cylinder B that is at rest. The coefficient of kinetic
friction at the contact point D is μk. After a period of slipping, the
cylinders attain constant angular velocities of equal magnitude and
opposite direction at the same time. Knowing that cylinder A executes
three revolutions before it attains a constant angular velocity and that
cylinder B executes one revolution before it attains a constant angu-
lar velocity, determine (a) the final angular velocity of each cylinder,
(b) the coefficient of kinetic friction μk.

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 data

VIEW

Step 2: The free body diagram of the cylinder A

VIEW

Step 3: Calculation of moment of inertia of the cylinder

VIEW

Step 4: Calculation of tangential velocity for the two cylinders

VIEW

Step 5: Calculation of angular velocity of A and B at point 2

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 12 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

The mechanism shown is one of two identical mechanisms attached to the two sides of a 180-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring of constant k is attached to wheel Bin such a way that its tension is zero when 0 = 30°. Knowing that the door is released from rest in the position 0 = 45° and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k. 5 ft 5 ft The spring constant is Ib/ft.
Sample Problem 16.3 150 mm 30 B F 200 mm 30% D 500 mm The thin plate of mass 8 kg is held in place as shown. Neglecting the mass of the links, determine immediately after the wire has been cut (a) the acceleration of the plate, and (b) the force in each link.
A cylinder of radius r and weight W with an initial counterclockwise angular velocity w0 is placed in the corner formed by the floor and a vertical wall. Denoting by μk the coefficient of kinetic friction between the cylinder and the wall and the floor, derive an expression for the time required for the cylinder to come to rest.
The motion of the 5.00-kg uniform rod AB is guided by small wheels of negligible mass that roll on the horizontal and vertical surfaces shown. A spring of constant k = 430 N/m is attached to end B of the rod. The rod is released from rest when 0 = 30° (Position 1) and gets pulled down by the initially deformed spring. When 0 = 45° (Position 2), the spring is at its undeformed length. Hint: Irod = 1/12 mL² 1. Which of the following force/s does/do work on rod AB? 1. Normal force on roller A II. Normal force on roller B III. Spring force at B IV. Weight of rod AB B 2. Which of the following best approximates the value of the elastic potential energy of the system at Position 1? 0.6 m 3. Which of the following best approximates the work done by gravity on the rod during its motion from Position 1 to Position 2? 5. Which of the following best approximates the angular speed of the rod at Position 2? A 4. Which of the following expressions gives the kinetic energy of the rod at Position 2 in…
A 60-lb uniform thin panel is placed in a truck with end A resting on a rough horizontal surface and end B supported by a smooth vertical surface. Knowing that the panel remains in the position shown, determine (a) the maximum allowable acceleration of the truck, (b) the corresponding minimum required coefficient of static friction at end A.
Please display all work
Disk A has a mass mA = 3.5 kg, a radius rA = 255 mm, and an initial angular velocity wOA = 300 rpm clockwise. Disk B has a mass mB = 1.8 kg, a radius rB = 150 mm, and is at rest when it comes into contact with disk A. Knowing that µk : 0.33 between the disks and neglecting rolling friction, determine the moment of reaction on the support at C, in N-m. = 00 B A C TA TB