Problem 5 The 60-kg block is suspended from the 12-kg pulley that has a radius of gyration about point O of ko = 135 mm. At timet = 0, the block is displaced upward 30 mm from its equilibrium position and at the same time is given an upward velocity of 100 mm/s. • Determine the natural frequency of the system. • Determine the amplitude of vibration of the block. Determine the maximum velocity of the block during the vibration cycle.

Problem 5 The 60-kg block is suspended from the 12-kg pulley that has a radius of gyration about point O of ko = 135 mm. At timet = 0, the block is displaced upward 30 mm from its equilibrium position and at the same time is given an upward velocity of 100 mm/s. • Determine the natural frequency of the system. • Determine the amplitude of vibration of the block. Determine the maximum velocity of the block during the vibration cycle.

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

Problem 5
The 60-kg block is suspended from the 12-kg pulley that has a
radius of gyration about point O of ko = 135 mm. At timet = 0,
the block is displaced upward 30 mm from its equilibrium position
and at the same time is given an upward velocity of 100 mm/s.
• Determine the natural frequency of the system.
• Determine the amplitude of vibration of the block.
Determine the maximum velocity of the block during the
vibration cycle.

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