*17-76. The 20-kg roll of paper has a radius of gyrationka = 120 mm about an axis passing through point A. It is pinsupported at both ends by two brackets AB. The roll restson the floor, for which the coefficient of kinetic friction isHk = 0.2. If a horizontal force F = 60 N is applied to the endof the paper, determine the initial angular acceleration ofthe roll as the paper unrolls.300 mm/400 mm

Given: The mass of the roll of paper is m=20 kg. The radius of gyration is kA=120 mm. The…

Answered: *17-76. The 20-kg roll of paper has a…

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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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. (9) The mass moment of inertial about the IC center is IIC =_________(kg·m2 ) (two decimal places)
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
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 rod AB is non-uniform with a radius of gyration of 4.00 ft with respect to a horizontal axis through the center of mass G. It weighs 161 lb. At the moment shown the rod has a counterclockwise angular velocity of 3.00 rad/sec, and the spring is compressed by 2.00 ft. Calculate the force constant of the spring that will reduce the angular velocity of the rod to 1.50 rad/sec when it reaches the horizontal position. Assume the blocks A and B are weightless.
The 29-kg spool of outer radius ro=530 mm has a centroidal radius of gyration k=355 mm and a central shaft of radius ri=215 mm. The spool is at rest on the incline when a tension T=204 N is applied to the end of a cable which is wrapped securely around the central shaft as shown. Determine the acceleration aaa of the spool center GGG and the friction force FFF acting at the interface of the spool and incline. The friction coefficients there are μs=0.28 and μk=0.17. The tension T is applied parallel to the incline and the angle θ=16. The acceleration aaa and the force F are both positive if up the incline, negative if down.
SOLVE USING PRINCIPLE OF WORK AND ENERGY
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. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___ (two decimal places)
17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk and attached to the wall at B. If a torque M = 40 lb - ft is applied to the disk, determine the angular acceleration of the disk and the time needed for the end C of the plate to travel 3 ft and strike the wall. Assume the disk does not slip on the plate and the plate rests on the surface at D having a coefficient of kinetic friction of 4, = 0.2. Neglect the mass of the cord. M = 40 lb · ft -3 ft-

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