Show that the periods of a pendulum bob are the same for linear oscillation and circular motion (for small displacements).
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A: The given values with suitable variables are listed below. Here, m denotes the mass, k denotes the…
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A: Given:mass of the object = 250 gSpring constant = 10 N/m
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A: Given, mass of the bob in the pendulum, m=1.5 Kg length of the stick, L=1 m
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Q: (a) As an illustration of action angle variables to find frequency, consider a linear harmonic…
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Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…
A: Given: The ratio of the maximum angular acceleration (θ''max) to the maximum angular velocity…
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A: To show that-Vaverage=2π(Maximum velocity)Given-(V) in S.H.M.=ωa2-x2Vmax=aωwhen x=0
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A: Solution:Given:See the figure. Some data is pulled from figure.r = radius of disk = 30 cm = 0.30 ma…
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A: The time period of oscillations of a simple pendulum is given by, T = 2πLg where g = 9.8 m/s2 is the…
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A: We know that,The angular frequency of the oscillation, ω=2πT Equation 1where, Time period T=2.5…
Q: In the figure, a 2100 kg demolition ball swings from the end of a crane. The length of the swinging…
A: (a) Period is given by: T = 2pi*sqrt(L/g) = 2pi*sqrt(16.8/9.8) = 8.23 s
Q: If a simple pendulum oscillates with an amplitude of 50 mm and the time period of 2s, then its…
A: To find-(Vmax) of simple pendulum=?Given-Amplitude (A)=50 mm=0.05 mPeriodic time (T)=2 sec
Q: A 200g ball is tied to a string. It is pulled to an angle of 8° and released to swing as a pendulum.…
A: The mass of the ball, The angle, The time taken for 10 oscillations,
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Q: A simple pendulum with a length of 2.13 m and a mass of 6.94 kg is given an initial speed of 2.66…
A: time period of simple pendulum is given by : T = 2πL/gT = 2π2.13/9.8T = 2.93 seconds b) Total…
Q: In the figure, a 2900 kg demolition ball swings from the end of a crane. The length of the swinging…
A: Solution: Given: This problem belongs to branch Simple Harmonic Motion (SHM). L = length of cable of…
Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…
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Q: equilibrium displacement
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Q: On a nice spring day you find yourself relaxing under an old oak tree. You pull the end of one of…
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