Problem 4The uniform slender bar ABC weighs 6 lb and is initially at rest withend A, bearing against the stop in the horizontal guide. When aconstant couple M = 72 lb in is applied to end C, the bar rotatescausing end A to strike the side of the vertical guide with a velocityof 10 ft/sec. The mass of the rollers may be neglected. Note: Momentof inertia of a slender bar is: =ml²121. Calculate the change in gravitational potential energy, Vg.2. Calculate the work done by the moment M3. Write down the relativity equation of velocities between points A845°and B and thus determine the final velocity of the center of the mass of the bar and its angularvelocity w.4. Determine change in the kinetic energy.5. Calculate the loss of energy AE due to friction in the guides and rollers.M

Step 1: Step 2: Step 3: Step 4:

Answered: Problem 4 The uniform slender bar ABC…

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

Similar questions

The pendulum shown in the image below can rotate about the axisperpendicular to page and pass through point O. The solid rod hasa mass m=6 kg and the solid sphere diameter of 50 mm has a massof 1.5m(kg). Calculate the mass moment of inertia of the rod andthe sphere at 0° when the axis is perpendicular to the page andpass through the centre of gravity. (l= 800 mm; k= 600 mm)
The centroidal mass moment of inertia ofthe pulley assembly is 20 ft-lb-s2. Determine (a) the tension in the cordsupporting 161-lb block , (b)the tension supporting the 322-lb block, and (c) the angularacceleration of the pulley system .Hint: Determine first the direction ofmotion, i.e. will block A move up ordown?
The figure shows a trolley of mass 10 kg that can move freely along a smooth fixed horizontal rail driven by a horizontal applied force, F. Pivoted to the trolley at A is a rigid link AB of mass 2 kg, length 1.5 m and inertia 0.38 kgm² about the centre of gravity of the link, which is located at the midpoint. The link is driven by a motor mounted on the trolley which applies an anticlockwise torque T to the link. When the link is at 30° to the horizontal and the mechanism is undergoing the motion shown in the figure determine the magnitude of the reaction force acting on the link at point A in the x and y directions. The positive sense for x and y is given in the figure, and gravity can be assumed to be 10 m/s². O O O F Rail B Rx = 6.94 N Ry = 21.7 N Rx = 14.29 N Ry = 10.15 N Rx = 19.62 N Ry= 22.48 N Rx = 32.05 N Ry = 45.00 N 30⁰ T w = 2 rad/s a = 1 rad/s² v = 0.5 m/s a = 0.5 m/s² g
(3) The 12-lb lever OA with 10-in. radius of gyration about point O is initially at rest in the vertical position (8 = 90°), where the attached spring of stiffness k= 3 lb/in is unstretched. Calculate the constant moment M applied to the lever at O which will give the lever an angular velocity o = 4 rad/sec as the lever rotates to the horizontal position at 0 = 0. k = 3 lb/in. wwww 15 15
4. Draw the FBD and derive the EOM of the pulley system below with respect to x using Newton's laws. Mass m slides on a rough surface with friction force f. There is no displacement in the spring initially. -Pulley. moment of inertia J,
The force F 250 N is applied to a wheel weighing 20 kg and having a radius of inertia of 150 mm as shown in the figure. This force lifts a weight B of 10 kg. Calculate the angular acceleration of the pulley and the normal acceleration of the weight B, the tension of the rope and the reaction in the bearing of the pulley.
if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree Tmin=1523 N assuming no slipping 1) Find aG, α, the value of the friction force (f) and the normal reaction force on the spool by the ground if T = 0.5 Tmin.
Assuming small displacements, write the equation of motion for the system shown below in terms of x₁, x₂, х1, х2, and 0. Assume that the lever has a mass moment of inertia about the pivot of Im. K₁ 000 M₁ K₂ 000 777 -fa(1) M₂
A cable is wrapped around the spool’s center hub. The mass of the spool is m= 100 kg, the radius r1 = 0.4 m, r2 =0.6 m, and the radius of gyration is kG = 0.3 m. A horizontal force P = 10 N is applied to the cord. The spool is initially at rest and rolls without slipping. (2) The mass moment of inertia about point A _______(kg·m2)(two decimal places)
Problem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-
The force F of 250 N is applied because a block with a mass of 20 kg and a radius of inertia of 160 mm as shown in the figure. This force lifts the weight B of 10 kg. Calculate the pulley angular acceleration and the normal acceleration of weight B, tension in the cable and reaction in the pulley bearing.
TAKE: m=17kg L=7.60m

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS