The 5.2-kg bar is released from rest in the horizontal position 1 and falls to position 2. The unstretched length of the spring is 0.4 m and the spring constant is k = 12.5 N/m. What is the magnitude of the bar's angular velocity when it is in position 2 (0 = 67.5°). 0.6 m- wwwww 1 -1 m- m 2 A

The 5.2-kg bar is released from rest in the horizontal position 1 and falls to position 2. The unstretched length of the spring is 0.4 m and the spring constant is k = 12.5 N/m. What is the magnitude of the bar's angular velocity when it is in position 2 (0 = 67.5°). 0.6 m- wwwww 1 -1 m- m 2 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

See similar textbooks

Similar questions

The 23-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. If it is subjected to the constant moment M = 82 N·m and is released from rest from the position as shown, determine its angular velocity W (in rad/s) when it has rotated 45 Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer
Rod OA rotates counterclockwise with an angular position - 2t rad, where t is in seconds. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other collar slides over the circular hoop rod described by the equation r = 1.6cose m. If the total mass of both collars is 0.5 kg and of the rod and hoop are negligible, when = 30° which takes t = ()(180) sec, determine the circumferential acceleration of the collars, ag. [m/s2] (sign sensitive) 6=ki 16 cos 8.
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)
Example: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0º, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, 0 = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft A 8 ft B k = 9 lb/ft
Use work and energy to calculate the final angular velocity (e) of the 10kg bar. The bar has the initial motion shown and displaces 0 = 90°. 2m 3 radis
At the instant shown, the spring is un-deformed. Determine the change in potential energy if the 20 kg disk (with radius of gyration kG = 0.5 m) rolls 2 revolutions without slipping. k= 200 N/m 3 m/s datum 0.3 m M = 2 Nm 30° O 1791 J O -1791 J O 1051 J O 1421 J O E) None of the above
The 10-kg bar is released from rest in the horizontal position 1 and falls to position 2. The unstretched length of the spring is 0.2 m and the spring constant is k = 40 N/m. What will be the bar's angular velocity when it is in position 2. -0.6 m www 60° 2
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)
The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.
The 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 N•m and is released from rest from the position as shown, determine its angular velocity w (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. `L MV Your Answer: Answer
A drum can rotate about a fixed-point O. The A block is attached to a cord wrapping around the drum. The mass of the drum is md = 100kg and the radius is r = 0.5 m. The radius of gyration of the drum about point O is ko=0.3 m. The mass of the block is mb= 20kg. The block is released from rest. The acceleration due to gravity is g=9.81 m/s2. (1) Calculate the mass moment of inertia of the drum about the point O, IO_______(kgm2) (two decimal places)
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 ke=0.4 m. The spring's unstretched length is Lo=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 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (3) The stretched spring length of the spring at the state 1 is_ places) 2₂ State 2 7717 State 1 _(m) (two decimal