The torque acting on the center of mass of a pendulum is given as:T =7 x F = r × mgThus, T = mgrsinoAlso, 7 = -Ia = -Ia = mgrsind = = 0 + mg" sin0 = 01Ö + mgrsind = 0IHence, the time period of a pendulum is given asT = 27,mgrWhich of the following approximations have been utilized to arrive at the above expression for timetime period?O m «I, thus the mass of the pendulum is much less compared to its moment of inertia.sind 2 0, thus the angular amplitude of oscillations are very small.O The cross product cannot be correctly defined in this problem.mg = I, thus the weight of the pendulum mass should be approximately equal to the overall moment ofinertia.

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Description: The torque acting on the center of mass of a pendulum is given as:T =7 x F = r × mgThus, T = mgrsinoAlso, 7 = -Ia = -Ia = mgrsind = = 0 + mg" sin0 = 01Ö + mgrsind = 0IHence, the time period of a pendulum is given asT = 27,mgrWhich of the following a

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The torque acting on the center of mass of a pendulum is given as: T =7 x F = r x mg Thus, T = mgrsind Also, 7 = -Ia = -Ia = mgrsind = = 0 + mg sino 1Ö + mgrsind = 0 Hence, the time period of a pendulum is given as T = 27, mgr Which of the following approximations have been utilized to arrive at the above expression for time period? O m «I, thus the mass of the pendulum is much less compared to its moment of inertia. sind - 0, thus the angular amplitude of oscillations are very small. O The cross product cannot be correctly defined in this problem. O mg 2 I, thus the weight of the pendulum mass should be approximately equal to the overall moment

The torque acting on the center of mass of a pendulum is given as: T =7 x F = r x mg Thus, T = mgrsind Also, 7 = -Ia = -Ia = mgrsind = = 0 + mg sino 1Ö + mgrsind = 0 Hence, the time period of a pendulum is given as T = 27, mgr Which of the following approximations have been utilized to arrive at the above expression for time period? O m «I, thus the mass of the pendulum is much less compared to its moment of inertia. sind - 0, thus the angular amplitude of oscillations are very small. O The cross product cannot be correctly defined in this problem. O mg 2 I, thus the weight of the pendulum mass should be approximately equal to the overall moment

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 1PQ

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