The 48-kg wheel has a radius of gyration about its centerof gravity G of KG = 250 mm. The spring AB has astiffness k = 100 N/m and an unstretched length of500 mm. The wheel is released from rest. (Figure 1)Figure200 mm1200 mm400 mm-1500 mmk = 100 N/m1 of 1Part AIf the wheel rolls without slipping, determine its angular velocity, measured clockwise, when it has rotatedclockwise 90° from the position shown.Express your answer in radians per second to three significant figures. Enter positive value if theangular velocity is clockwise and negative value if the angular velocity is counterclockwise.VE ΑΣΦ ↓↑ vecW =SubmitProvide FeedbackRequest Answerwwwww?rad/sNext >

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Answered: The 48-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

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The 150-kg wheel shown in Fig. In the initial position shown, the velocity of Gis 2 m/s down the plane, and the spring is stretched 150 mm. If the spring modulus is 1000 N/m, what will be the maximum stretch of the spring? has a radius of gyration of 360 mm with respect to its center of mass G. www 150 kg 30°
The uniform 35-lb bar with attached 11-lb wheels is released from rest when = 64°. If the wheels roll without slipping on the horizontal and vertical surfaces, determine the magnitude of the angular velocity of the bar when 9 = 42°. Each wheel has a centroidal radius of gyration of 6.1 inches. A Answer: @= 8" 6.0' B rad/sec
The 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u: = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part B Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. HA ac = Value Units Submit Request Answer Part C Figure Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. 0.4 m В HA 0.6 m T = Value Units M = 450 N-m Submit Request Answer
Gears A and B of mass 15 kg and 56 kg have radii of gyration about their respective mass centers of ka = 80 mm and kg = 150 mm. (Figure 1) Figure M = 10 N - m 0.1 m 0.2 m 1 of 1 Part A If gear A is subjected to the couple moment M = 10 N·m when it is at rest, determine the angular velocity of gear B when t = 5 s. Express your answer to three significant figures and include the appropriate units. WB = Submit μÀ Value Provide Feedback 3 Request Answer Units ?
The 35 lb slender rod AB is 277 in. long and at rest in a horizontal position supported by a spring located at h = 226 in. from the suspension cable at B. If the cable at B fails, answer the following 1) Part A: Determine the magnitude of the acceleration of end A. 2) Part B: Determine the magnitude of the acceleration of end B. 3) Part C: Determine the angular acceleration of the rod.
The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. (a) if the bar comes to momentary rest when theta = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of th ebar when theta = 38 degrees.
The 24-kg roll of paper has a radius of gyration KA = 90 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests against a wall for which the coefficient of kinetic friction is = 0.2 and a vertical force F = 27 Nis applied to the end of the paper. (Figure 1) Figure 300 mm 125 mm 1 of 1 ▼ Part A Determine the angular acceleration of the roll as the paper unrolls. Express your answer using three significant figures. Enter positive value if the angular acceleration is clockwise and negative value if the angular acceleration is counterclockwise. IVE ΑΣΦΑ ↓↑ vec α = Submit Provide Feedback Request Answer ? rad/s² Next >
The 18-kg rod AB is pin-connected at A and subjected to a couple moment of M =15 N- m The rod is released from rest when the spring is unstretched at 0 = 30°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. (Figure 1) Determine the rod' s angular velocity, measured clockwise, at the instant 0 = 60°. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. vec rad/s k = 40 N/m 0.75 m M = 15 N- m
The gear shown has a radius R=150mm and a radius of gyration k =125mm. The gear is rolling without sliding with a velocity V1 of magnitude 3 m/s when it strikes a step of height h=75mm. Because the edge of the step engages the gear teeth, no slipping occurs between the gear and the step. Assuming perfectly plastic impact, determine the angular velocity of the gear after it has rotated to the top of the step.
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
The system is at rest with the spring unstretched when theta = 0. the 5.3 kg uniform slender bar is then given a slight clockwise nudge. The value of b is 0.45 m. (a) if the bar comes to momentary rest when the angle = 58, determine the spring constant k. (b) for the value k = 65 N/m, find the magnitude of the angular velocity of the bar when the angle = 38 degrees. a) k = 70.634 N/m

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