The 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r= 0.5 m. When the wheel is subjected to the constant force F= 354 N, applied to the wheel's center axle at an angle 0= 6, it starts rolling from rest. Determine the wheel's angular velocity w (in rad/s) after 3.2 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s².

The 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r= 0.5 m. When the wheel is subjected to the constant force F= 354 N, applied to the wheel's center axle at an angle 0= 6, it starts rolling from rest. Determine the wheel's angular velocity w (in rad/s) after 3.2 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s².

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 body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slipping
6/40 If the frictional moment at the pivot O is 2 N+m, de- termine the angular acceleration of the grooved drum, which has a mass of 8 kg and a radius of gyra- tion kg = 225 mm. 200 mm kg 12kg
The 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.
The pendulum has a mass of 8.8 kg, a centre of gravity at G, and a radius of gyration of 0.31 m about the fixed pin support at O. At what position (in degrees) must the pendulum by released from rest so that its angular acceleration is 18.6 (clockwise) at that instant? Take = 0.25 m. The motion occurs in a vertical plane and friction is negligible. Choose the correct answer. 43.2 36.7 34.6 48.4 41.1
The racing vehicle has a mass of 750 kg and center of mass in G. If there is no slippage, determinate the normal reaction, in Newtons, presented on each of the front wheels in A, when an acceleration of a = 6.4 m/s².
In the helicopter shown; a vertical tail propeller is used to pre- vent rotation of the cab as the speed of the main blades is changed. Assuming that the tail propeller is not operating determine the final angular velocity of the cab after the speed of the main blades has been changed from I80 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 650 lb.ft.s2. Each of the four main blades is assumed to be a slender rod 14 ft weighing 55 lb.)
The 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.
Gears A and B each have a mass of 2.4 kg and a radius of gyration of 60 mm, while gear C has a mass of 12 kg and a radius of gyration of 150 mm. A torque M with constant magnitude of 10 N.m to gear C. Determine a) the number of revolutions of gear C that is required for its angular velocity to increase from 100 to 450 rpm. b) the corresponding tangential force acting on gear A Please include the free body diagram if necessary.
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 WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagram
6/40 If the frictional moment at the pivot O is 2 N-m, de- termine the angular acceleration of the grooved drum, which has a mass of 8 kg and a radius of gyra- tion ko = 225 mm.
The assembly weighs 10 lblb and has a radius of gyration kGkGk_G = 0.60 ftft about its center of mass GG. The kinetic energy of the assembly is 25 ft⋅lbft⋅lb when it is in the position shown. (Figure 1) If it rolls counterclockwise on the surface without slipping, determine its linear momentum at this instant.