A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) (e = 90°).400 mmK-0=0200 mmB300 mm200 mm0=90kinetic energy at position (1) (Joules)moment of inertia about the hinge (kg.m2)a. 0,8O b. 0.97c. 0.64d. 1.13O e. 0.32work due weight (N.m)work due to spring (N.m)a. -5,57b. -6.68C. -4.45d. -7.79e. -2.23angular velocity in position (2) (rad/s)О а. 5.71b. 6.85C. 4.57d. 7,99O e. 2.28O o o Cоо

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A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0=0°), it has rotated through 90° to reach position (2) ( 0= 90°) 400 mm K 0=D0 200 mm B 300 mm 200 mm 0=90 kinetic energy at position (1) (Joules) moment of inertia about the hinge (kg.m) O a. 0.8 O b.0.97 O c.0.64 O d. 1.13 O e. 0.32 work due weight (N.m)

A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0=0°), it has rotated through 90° to reach position (2) ( 0= 90°) 400 mm K 0=D0 200 mm B 300 mm 200 mm 0=90 kinetic energy at position (1) (Joules) moment of inertia about the hinge (kg.m) O a. 0.8 O b.0.97 O c.0.64 O d. 1.13 O e. 0.32 work due weight (N.m)

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

A slender 12.7-kg rod can rotate in a vertical plane about a pivot at A. A spring of constant k= 121 N/m and of unstretched length 370 mm is attached to the rod as shown. Knowing that the rod is released from rest in position (1) (0 = 0°), it has rotated through 90° to reach position (2) (
e = 90°).
400 mm
K
-0=0
200 mm
B
300 mm
200 mm
0=90
kinetic energy at position (1) (Joules)
moment of inertia about the hinge (kg.m2)
a. 0,8
O b. 0.97
c. 0.64
d. 1.13
O e. 0.32
work due weight (N.m)
work due to spring (N.m)
a. -5,57
b. -6.68
C. -4.45
d. -7.79
e. -2.23
angular velocity in position (2) (rad/s)
О а. 5.71
b. 6.85
C. 4.57
d. 7,99
O e. 2.28
O o o C
оо

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