Show that the periods of a pendulum bob are the same for linear oscillation and circular motion (for small displacements).
Q: A simple pendulum has a period of 1.50 s on earth. What is its period on the surface of the moon…
A: Given:Time period on earth, T=1.5 sGravitational acceleration on earth, g=9.8 m/s2Gravitational…
Q: Astronauts on a distant planet set up a simple pendulum that has an angular frequency of .455 on…
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Q: A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the…
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Q: An oscillating simple pendulum has amplitude of oscillations at 0.14m and time period 2.5s.…
A: The angular frequency of the oscillation is
Q: An astronaut on the Moon measures the period for a 1.00m long pendulum and obtains a value of 4.95s.…
A: astronaut on the Moon measures the period for a 1.00m long pendulum and obtains a value of 4.95s.…
Q: What is the period of oscillation (in seconds) of a rod of length 2.7m that is fixed at one end, but…
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Q: The bicycle wheel has a diameter of 72 cm, a weight of 2.0 kg and is initially balanced on the…
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Q: A meter stick is used as a simple pendulum with a 1.5 kg mass attached at its end. Calculate the…
A: Given, mass of the bob in the pendulum, m=1.5 Kg length of the stick, L=1 m
Q: consider a double pendulum. what physical quantities are conserved
A: We can see there is no dependence on l1 ˙ & l2 ˙ So the corresponding momentans will be…
Q: Astronauts use a simple pendulum consisting of a bob with a mass of 1.1 kg and a massless string.…
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Q: A 200 g ball is tied to a string. It is pulled out to an angle of 8.0◦ and released to swing as a…
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Q: 5.00 cm. At the
A: Given: To find the displacement after 5 more complete oscillations is shown as:
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…
Q: The mass in a pendulum clock completes one full back-andforth oscillation in 1.00 s. What is the…
A: Given data The time is taken for back and forth oscillation is: t = 1 s The expression for the…
Q: A very light rigid rod with a length of 0.199 m extends straight out from one end of a meter stick.…
A:
Q: A simple pendulum with a length of 1.7 m completes 10 oscillations in 42 s on the surface of Mars.…
A: Given Information:- Length of the pendulum is l=1.7 m No of oscillations N=10 Total time t=42 s…
Q: Show that the average velocity o particle performing S.H.M. in one oscillation 2 x (maximum…
A: To show that-Vaverage=2π(Maximum velocity)Given-(V) in S.H.M.=ωa2-x2Vmax=aωwhen x=0
Q: A uniform rod of length L is pivoted at L/4 from one end. It is pulled to one side through a very…
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Q: A mathematical pendulum performs damped oscillations whose logarithmic decrease in damping is 0.2…
A: Solution: The logarithmic decrease in damping is given as 0.2 So, lnAnAn+1=-0.2 Where,…
Q: A uniform disk witha a 30 cm radius hangs at the end of a massless rod of length 10 cm. If it swings…
A: Solution:Given:See the figure. Some data is pulled from figure.r = radius of disk = 30 cm = 0.30 ma…
Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…
A: Given data: The given ratio is θ''maxθ'max=2π. Oscillation completed n=2.
Q: a mass of m is swuang from pendulum of length L. on the surface of earth. The period Tof oscillation…
A: Period, T = 0.30 s Acceleration due to gravity, g = 10 m/s²
Q: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…
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Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max,…
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Q: A composite pendulum consisting of a uniform disk with a radius of R and a mass of 6m is…
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Q: A simple pendulum of length 20 cm and mass 5.0 g is suspended in a race car traveling with constant…
A: The formula for the acceleration in a uniform circular motion is: The formula for the frequency of…
Q: The 25 g mass of a 0.7 m long simple pendulum is released when the wire makes an angle of 13 ° with…
A: The time period of oscillations of a simple pendulum is given by, T = 2πLg where g = 9.8 m/s2 is the…
Q: A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from…
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Q: You have a simple pendulum that consists of a small metal ball attached to a long string. You push…
A: (a) At equilibrium, the velocity is maximum. Thus, the formula for the velocity at equilibrium is:
Q: equilibrium displacement
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Q: At the lower end of a 1.00 m long stick is a weight attached, which has the same weight as the…
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Q: A certain mass hanging from a string of length L has a period of oscillation, Tpend. The same mass…
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Q: A very light rigid rod with a length of 0.475 m extends stralght out from one end of a meter stick.…
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Q: While seated on a tall bench, extend your lower leg a small amount and then let it swing freely…
A: For the given experiment, extending the lower leg and then let it swing freely about your knee…
![Show that the periods of a pendulum bob
are the same for linear oscillation and
circular motion (for small displacements).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ec0f996-7849-48e7-a9bd-246675f46e7a%2F8b0ee30b-76f0-46fe-b604-6290a1208a9a%2Fgn53667_processed.jpeg&w=3840&q=75)
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