In the figure below, the wheel of mass m= 16 kg , radius r= 200 mm,Problem [5]and radius of gyration k 125 mm initially spins at the end of the strut with angular velocityof a = 50 rad/s. The wheel is then placed against the wall, and the wall has the coefficient ofkinetic friction z -0.3. The weight of the strut can be neglected as it is small, compared tothat of the wheel. Determine the time required for the motion to stop and compute the force instrut OG and the reaction force at point O during this time.60°

Given: The mass of wheel, m = 16 kg The radius of wheel, r = 200 mm = 0.2 m The radius of gyration,…

Answered: In the figure below, the wheel of mass…

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

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A wheel of mass mg = 5 kg, outer radius r. = 0.6m, r, = 0.3m, and mass moment of inertia lg = (mg*r.)/2 rolls without slipping on a horizontal surface. A spring of stiffness k = 100 N/m is wrapped around the inner hub and is initially unstretched. An inextensible string is wrapped around the outer radius of the wheel, passes over a massless, frictionless pulley, and attaches to a mass mc = 2 kg which is initially a height h = 0.4 m above the ground. (a) Find the speed of the mass C when it hits the ground, and (b) Find the smallest value for mc that ensures that it actually strikes the ground. Ans: (a) vc = 1.3145 m/s, (b) minimum me = 1.1468 kg A mc
Problem 05: The circular disk of 200 mm radius has a mass of 25 kg, and centroidal radius of gyration k-175 mm. The disk has a concentric circular groove of 75 mm radius cut into it (it's like a big yo-yo). A steady force T is applied at an angle 0 to a cord wrapped around the groove as shown. If T-30 N, 0-0, μs-0.10, and μk=0.08, determine the angular acceleration a of the disk, the acceleration ac of its mass centre G, and the friction force F which the surface exerts on the disk. m = 25 kg k = 175 mm H₂ = 0.10 H=0.08. 200 mm 75 mm -- Problem 6/89 T
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Draw the free body, kinematic and kinetic diagrams of the discs
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A wheel of mass mg = 5 kg, outer radius ro = 0.6m, r; = 0.3m, and mass moment of inertia lg = (mg*r.?)/2 rolls without slipping on a horizontal surface. A spring of stiffness k = 100 N/m is wrapped around the inner hub and is initially unstretched. An inextensible string is wrapped around the outer radius of the wheel, passes over a massless, frictionless pulley, and attaches to a mass mc = 2 kg which is initially a height h = 0.4 m above the ground. (a) Find the speed of the mass C when it hits the ground, and (b) Find the smallest value for mc that ensures that it actually strikes the ground. Ans: (a) vc = 1.3145 m/s, (b) minimum mc = 1.1468 kg A ri G mc
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