18-47. The 40-kg wheel has a radius of gyration about itscenter of gravity G of kg = 250 mm. If it rolls withoutslipping, determine its angular velocity when it has rotatedclockwise 90° from the position shown. The spring AB has astiffness k = 100 N/m and an unstretched length of 500 mm.The wheel is released from rest.-1500 mmk = 100 N/m200 mmB200 mm400 mm

Answered: Image /qna-images/answer/0417ad5a-495b-4f97-9f66-267c57db59a1.jpg

Answered: 18-47. The 40-kg wheel has a radius of…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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The cylinder is at rest supported by the spring of stiffness 205 N/m when a torque of 78 Nm is applied as shown. The mass of the cylinder is 2.5 kg and its radius is 205 mm. If the wheel rolls without slipping, find the velocity of the centre of the wheel when it has moved a distance 352 mm up the slope with the angle ẞ= 25°.
If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs
*18-4. A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at ko=0.6 m. OG0.75 m '1 m во -0.6 m-
stion 5 The 20-kg wheel has a radius of gyration ko = 400 mm where O is the center of the wheel. If the wheel is subjected to a moment, M = (2t) N.m, where t is in seconds, determine its angular velocity when t- 4s starting from rest. Assume the wheel is subjected to rotation only (no translation). OA 16.0 rad/s B. 10.0 rads oc 8.0 rad/s 0 5.0 rad/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 kG=0.4 m. The spring’s unstretched length is L0=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 θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5) At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places) (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places)
f cion A force of P = 20 N is applied to the cable, which causes a 175 kg of radius of Gyration KG = 0.42m reel to turn without slipping on the 2 rollers A and B of each 18 kg and radius of 0.1m. P 30° 250 mm OG 500 mm AO OB -400 mm- Calculate the work done by the 20N for 2 revolutions. (J) Determine the angular velocity of the reel after it has rotated 2 revolutions starting from rest. (rad/s) Calculate the Kinetic energy of roller A after the reel rotated 2 revolutions starting from rest. (J) Choose... 7.952 1.88 32.2 3.14 1.98 16.34 20 3.66 62.831 Choose... Choose... Choose... 52 8:44 AM MM
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The 45-kg reel has a radius of gyration about its center O of ko = 220 mm. If it is released from rest, determine the total external work done to it when its center O has traveled 6.6 m down the smooth inclined plane (with angle = 35°). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 0.4 m 0.2 m²
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.
The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B
if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree 1) assuming no slipping and when starting from horizontal cable (θ = 0o) the spool moves to the left- determine the minimum tension in the cable (Tmin) that causes the spool to slip. Assumeμk = 0.4 and μs = 0.5.
Pravinbhai

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