The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of the The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k = 125 mm and has aconcentric circular groove of 55-mm radius cut into it. Ā steady force T is applied at an angle 0 to a cord wrapped aroundthe groove as shown. If T = 40 N, 0 = 0, µs = 0.11, and Hk = 0.09, determine the angular acceleration a of the disk, theacceleration a of its mass center G, and the friction force F which the surface exerts on the disk. The angular accelerationa is positive if counterclockwise, negative if clockwise; the acceleration a is positive if to the right, negative if to the left;and the friction force F is positive if to the right, negative if to the left.m = 38 kgE = 125 mm145 mmT55mmGlg = 0.11)Uk = 0.09Answers:a =T2.25296Drad/s2a =-0.32667Um/s²F =-27.5862UN

Answered: Image /qna-images/answer/f7ef14ee-b29d-434d-b71a-520d991c1586.jpg

The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of the

The circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k bar = 25 mm and has a concentric circular groove of 55-mm radius cut into it. A steady force Tis applied at an angle theta to a cord wrapped around the groove as shown. If T = 40 N, theta = 0, mu_s = 0.11, and mu_k = 0.09, determine the angular acceleration a of the

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.20P: Locate the instant center of rotation of bar AB for each case shown.

See similar textbooks

Related questions

Q: The circular concrete culvert rolls with an angular velocity of w = 0.58 rad/s when the man is at…

A: In this problem we will use the moment equation and the relative acceleration approach.

Q: The shown spool has a mass of 100 kg and radius of gyration of 0.3 m. For P = 70 N and µ, = Hk = 0.2…

A: Given data: Consider the free body diagram of the spool as shown below, Here, Fr is the friction…

Q: (A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a…

Q: Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is…

Q: B Problem (1) Gears A and B each have a mass of 4 kg and a radius of gyration of 75 mm about their…

Q: 10" 6" D - - 9 lb 10° Y

A: Given,

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: A rotating shaft carries four unbalanced masses 18 kg, 14 kg, 16 kg and 12 kg at radii 50 mm, 60 mm,…

A: There may be unbalanced forces in any system having a rotating or reciprocating element due to the…

Q: The 285-kg wheel has a radius of gyration about its center O of ko = 300 mm, and radius r = 0.4 m.…

A: Use parallel axis theorem to moment of Inertia about IC

Q: An aeroplane makes a complete half circle of 70 metres radius, towards left, when flying at 500 km…

A: Given Radius, R = 70 m Speed, V = 500 km/hr = 138.88 m/s…

Q: 1) The shown spool has a mass of 100 kg and radius of gyration of 0.3 m. For P = 70 N and µ, =H =…

A: Given data: Mass of spool, m = 100 kg Radius of gyration, k = 0.3 m Force, P = 70 N Internal radius…

Q: Assuming small displacements, write the equation of motion for the system shown below in terms of…

A: The moment of inertia of the lever about pivot is

Q: A wheel is attached by a cable to a block The wheel has a radius of 2ft and weighs 300lbs, the…

Q: In the mechanism shown below, the wheel is pinned at the center. The radius from O to C is 02 m and…

Q: The 4.8-kg rod AB is attached to a collar of negligible mass at A and to a flywheel at B. The…

A: Given :mass of the rod = 4.8 kgmass of the flywheel = 16 kgradius of gyration = 180 mm

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 circular disk of 145-mm radius has a mass of 38 kg with centroidal radius of gyration k = 125 mm and has a
concentric circular groove of 55-mm radius cut into it. Ā steady force T is applied at an angle 0 to a cord wrapped around
the groove as shown. If T = 40 N, 0 = 0, µs = 0.11, and Hk = 0.09, determine the angular acceleration a of the disk, the
acceleration a of its mass center G, and the friction force F which the surface exerts on the disk. The angular acceleration
a is positive if counterclockwise, negative if clockwise; the acceleration a is positive if to the right, negative if to the left;
and the friction force F is positive if to the right, negative if to the left.
m = 38 kg
E = 125 mm
145 mm
T
55
mm
G
lg = 0.11)
Uk = 0.09
Answers:
a =T2.25296
Drad/s2
a =
-0.32667
Um/s²
F =
-27.5862
UN

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

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

Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.
Can the uniform bar of weight W remain at rest in the position shown?
The uniform plank is initially at rest on the fixed support at A and the stationary drum at B. If the drum begins rotating slowly counterclockwise, determine how far the plank will travel before it comes to rest again. (Note: Because the drum rotates slowly, the inertia of the plank may be neglected.)
Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.
The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.
Determine the largest angle for which the homogeneous block remains at rest.
A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the rectangular form of the velocity vector v.
The 3600-lb car with rear wheel drive is attempting to push the 4500-lb crate. The center of gravity of the car is at G, and the coefficients of static friction are 0.6 at B and 0.2 at C. Determine if the crate will slide. (The car pulling the crate is analyzed in Prob. 7.19.)
Find the smallest distance d for which the hook will remain at rest when acted on by the force P. Neglect the weight of the hook, and assume that the vertical wall is frictionless.
The homogeneous bar AB weighs 25 lb. Determine the magnitudes of the forces acting on the bar at A and B. Neglect friction.
The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is C0=10Nm. Assuming constant speed operation, determine the output torque C1 acting on the gear.
The 320-lb homogeneous spool is placed on the inclined surface. Determine the vertical force P that is required to keep the spool in the position shown. Assume that there is enough friction to prevent slipping at A.