The wheel has a mass of 25 kg and a radius of gyration k = 0.15m. It is originally spinning at =40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5, determine the time required for the motion to stop. What are the horizontal and vertical components of reaction which the pin at A exerts on AB during this time? Neglect the mass of -0.4 m AB. A 0.2 m C (B 0.3 m

The wheel has a mass of 25 kg and a radius of gyration k = 0.15m. It is originally spinning at =40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5, determine the time required for the motion to stop. What are the horizontal and vertical components of reaction which the pin at A exerts on AB during this time? Neglect the mass of -0.4 m AB. A 0.2 m C (B 0.3 m

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 wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Write the given data. m=20 kgr=0.6 mkG=0.4 mL0=1 mk=2 N/mθ=30°L2=4 m

Q: The solid homogeneous cylinder is released from rest on the ramp. Determine the magnitudes of the…

A: The acceleration of the mass center and the friction force.Given:The radius of the cylinder is .The…

Q: The 28-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.53 m,…

Q: The spring-mounted 0.92-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given Datam=0.92 kgθ˙= 6.5rad/sr˙=850 mm/s=0.85m/sμk=0.52

Q: The 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel has radius r= 0.52 m,…

A: find the angular acceleration.

Q: The spring-mounted 0.97-kg collar A oscillates along the horizontal rod, which is rotating at the…

Q: The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a…

Q: e necessary static frictional force between the wheel andomized. Your answer must include 2 places…

Q: The 16-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m.…

Q: 12 तना State 2 Ita 77 State 1 datum

A: Given,

Q: The 13-kg wheel is rolling under the constant moment of M= 89 N-m. The wheel has radius r= 0.47 m,…

A: Gg

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 wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

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 four-wheel-drive all-terrain vehicle has a mass of 300 kg with centre of mass G. If all four…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Write the given data. m=20 kgr=0.6 mkG=0.4 mL0=1 mk=2 N/mθ=30°L2=4 m

Q: The 136-kg spool has a radius of gyration about its mass center of ke = 300 mm If the couple moment…

Q: The 150 kg spool below is initially at rest and has a radius of gyration of k=0.5 m. The force Pis…

A: Given Data The mass of the spool is: m=150 kg The radius of gyration is: k=0.5 m The angular…

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

Q: 8. The 20 kg uniform disk of radius r= 0.4 m is at rest on the incline (0 = 20°) when a constant…

Q: the small block B is attached to the vertex A of the ight circular cone using a light cord. The cone…

A: Given-Information:- AB = 200 mm m = 0.3kg v = 0.6 m/sec To-Determine:- Tension in the cord

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

Q: The semicircular disk of mass m = 1.5 kg and radius r = 615 mm is released from rest at θ = 0 and…

A: Given; m=1.5 kgr=615 mm=0.615 mθ=65° Solution: The free body diagram of the semicircular disc :

Q: The uniform cylinder has a mass of 30.0kg and is rotating about a horizontal axis through O at 1200…

A: Given data: mass of the cylinder M = 30 kg Rotational speed of the cylinder N = 1200 rpm Coefficient…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Given data: m=20 kg r=0.6 m kG=0.4 m L0=1.0 m k=2.0 N/m θ=30o L2=4m To Find: (1) If the mass…

Q: The 136-kg spool has a radius of gyration about its mass center of ka = 300 mm If the couple moment…

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 wheel has a mass of 25 kg and a radius of gyration kb = 0.15m. It is originally spinning at
@=40 rad/s. If it is placed on the ground, for which the coefficient of kinetic friction is uc = 0.5,
determine the time required for the motion to stop. What are the horizontal and vertical
components of reaction which the pin at A exerts on AB during this time? Neglect the mass of
-0.4 m
AB.
0.2 m-
B
0.3 m
I

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: Determine the given data

VIEW

Step 2: Calculate the angular acceleration

VIEW

Step 3: Determine the reaction forces and time

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 7 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 30-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.48 m, has mass center at point G, and the radius of gyration is kg = 0.24 m. The coefficients of friction between the wheel and the ground is μ = 0.39 and k=0.10. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). 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. M Your Answer: Answer G 1
The 100-kg thin circular disk rolls without slipping on the horizontal plane. Determine a) The angular acceleration of the disk. b) The friction acts on the disk.
The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force FFF acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.
The 10 kg wheel has a radius of gyration about its center O of ko = 300 mm. When the wheel is subjected to the couple moment, it slips as it rolls. Determine the angular acceleration of the wheel and the acceleration of the wheel's center O. The coefficient of kinetic friction between the wheel and the plane is = 0.2. (Figure 1) Figure M 100 N m < 1 of 1 0.4 m Part A Determine the angular acceleration of the wheel. Express your answer to three significant figures and include the appropriate units. α = Submit ■ Part B ao = μÅ X Incorrect; Try Again Value Submit Previous Answers Request Answer Determine the acceleration of the wheel's center O. Express your answer to three significant figures and include the appropriate units. μA Units Value X Incorrect; Try Again Units ? Previous Answers Request Answer ? Units input for part B
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
The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.
The velocity of the 7.6-kg cylinder is 0.49 m/s at a certain instant. What is its speed v after dropping an additional 1.87 m? The mass of the grooved drum is m = 10.1 kg, its centroidal radius of gyration is k = 260 mm, and the radius of its groove is r; = 225 mm. The frictional moment at O is a constant 15.3 N-m. Assume r, = 345 mm. m Answer: v = i m/s
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration ke=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (3) The stretched spring length of the spring at the state 1 is_ places) 2₂ State 2 7717 State 1 _(m) (two decimal
3/72 The small object is placed on the inner surface of the conical dish at the radius shown. If the coefficient of static friction between the object and the conical sur- face is 0.30, for what range of angular velocities w about the vertical axis will the block remain on the dish without slipping? Assume that speed changes are made slowly so that any angular acceleration may be neglected. (0 0.2 m m 30° CamScanner Lino izowall
The car shown in the figure has a mass of 2500 kgs and a center of mass at G. Determine the acceleration if the rear "driving" wheels are always slipping, whereas the front wheels are free to rotate. Neglect the mass of the wheels. The coefficient of kinetic friction between the wheels and the road is uk = 0.3. Determine also the normal forces on A and B.