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Question 2 A pendulum consisting of a bar “B” and a mass “C” is suspended from a fixed pivot at “O” as shown in figure 2– a. A light spring is attached to the pendulum at point “P” and is anchored at a fixed point “Q”. When the pendulum is in equilibrium the line OC is at 450 from the vertical and the angle OPQ is 900. Calculate the natural frequency of the pendulum for small oscillations about the equilibrium position. The following data is available: Bar “B” Mass “C” Spring PQ mass 1 kg 6 kg centre of gravity G1 G2 radius of gyration about the centre of gravity 0,1 m 0,025 m spring stiffness 700 N/m

Question 2 A pendulum consisting of a bar “B” and a mass “C” is suspended from a fixed pivot at “O” as shown in figure 2– a. A light spring is attached to the pendulum at point “P” and is anchored at a fixed point “Q”. When the pendulum is in equilibrium the line OC is at 450 from the vertical and the angle OPQ is 900. Calculate the natural frequency of the pendulum for small oscillations about the equilibrium position. The following data is available: Bar “B” Mass “C” Spring PQ mass 1 kg 6 kg centre of gravity G1 G2 radius of gyration about the centre of gravity 0,1 m 0,025 m spring stiffness 700 N/m

Elements Of Electromagnetics
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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Question 2 A pendulum consisting of a bar “B” and a mass “C” is suspended from a fixed pivot at “O” as shown in figure 2– a. A light spring is attached to the pendulum at point “P” and is anchored at a fixed point “Q”. When the pendulum is in equilibrium the line OC is at 450 from the vertical and the angle OPQ is 900. Calculate the natural frequency of the pendulum for small oscillations about the equilibrium position. The following data is available: Bar “B” Mass “C” Spring PQ mass 1 kg 6 kg centre of gravity G1 G2 radius of gyration about the centre of gravity 0,1 m 0,025 m spring stiffness 700 N/m
Question 2 A pendulum consisting of a bar "B" and a mass "C" is suspended from a fixed pivot at "O" as shown in figure 2-a. A light spring is attached to the pendulum at point "P" and is anchored at a fixed point "Q". When the pendulum is in equilibrium the line OC is at 45° from the vertical and the angle OPQ is 90°. Calculate the natural frequency of the pendulum for small oscillations about the equilibrium position. The following data is available: mass centre of gravity radius of gyration about the centre of gravity spring stiffness 0 200 150 G₁ 375 . P 45° Fig. 2-a bar B G₂ Q Bar "B" 1 kg G₁ 0,1 m k = 700 N/m block C 0 G₁ WB Mass "C" 6 kg G₂ 0,025 m 0,150 45° mB = 6 kg mc = 1 kg WB = 1 x 9,81 = 9,81 N Wc = 6 x 9,81 = 58,86 N 0,20 Fig. 2-b Spring PQ P = 0,20 x 700 = 1400 700 N/m Wc G₂ 0,3750
Transcribed Image Text:Question 2 A pendulum consisting of a bar "B" and a mass "C" is suspended from a fixed pivot at "O" as shown in figure 2-a. A light spring is attached to the pendulum at point "P" and is anchored at a fixed point "Q". When the pendulum is in equilibrium the line OC is at 45° from the vertical and the angle OPQ is 90°. Calculate the natural frequency of the pendulum for small oscillations about the equilibrium position. The following data is available: mass centre of gravity radius of gyration about the centre of gravity spring stiffness 0 200 150 G₁ 375 . P 45° Fig. 2-a bar B G₂ Q Bar "B" 1 kg G₁ 0,1 m k = 700 N/m block C 0 G₁ WB Mass "C" 6 kg G₂ 0,025 m 0,150 45° mB = 6 kg mc = 1 kg WB = 1 x 9,81 = 9,81 N Wc = 6 x 9,81 = 58,86 N 0,20 Fig. 2-b Spring PQ P = 0,20 x 700 = 1400 700 N/m Wc G₂ 0,3750
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