8. Does the period of a simple pendulum depend on the amplitude of its motion? Explain.

Expert Solution

genius_generous answered 7 months ago

A question about the amplitude graph of the pendulum: Should I say; Period does not depend...

A question about the amplitude graph of the pendulum: Should I say; Period does not depend on Amplitude and just make a zero slope graph just like the mass graph. OR Should I say; The time period of a pendulum changes as the amplitude changes, but change is negligible if the amplitude is very small. Period only depends on amplitude, if the amplitude isn't very small and make a positive slope graph that represents a slight change as the amplitude...

harmonic if the period (the time for one cycle) does not depend on the amplitude (the...

harmonic if the period (the time for one cycle) does not depend on the amplitude (the maximum displacement from equilibrium). In the following set, identify the oscillations that are simple harmonic, the ones that are approximately simple harmonic, and the ones that are not simple harmonic. Please comment on why/how you make your identifications. 1. The pendulum in a grandfather clock 2. A boat in water pushed down and released 3. A child on a swing 4. A mass hanging...

particle is in simple harmonic motion along the x axis. The amplitude of the motion is...

particle is in simple harmonic motion along the x axis. The amplitude of the motion is xm. When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J. When it is at x = −1 2x1, the kinetic and potential energies are: A. K = 5 J and U = 3J B. K = 5 J and U...

Explain the motion of the conical pendulum.

SIMPLE PENDULUM 1. What are the factors affecting the period of a simple pendulum? 1.1. What...

SIMPLE PENDULUM 1. What are the factors affecting the period of a simple pendulum? 1.1. What must you do to the length of a simple pendulum so that its period is doubled? 1.2. Determine the acceleration due to gravity in a location where a simple pendulum is 150.0 cm long makes 100 vibrations in 246 s. 1.3 What can you conclude from the graph? (Chegg on my laptop wouldn't let me upload so I've attached the link) - http://tinypic.com/r/j6o5qq/9

Prove that the motion of the simple pendulum obeys the conservation of energy law (the sum...

Prove that the motion of the simple pendulum obeys the conservation of energy law (the sum of the kinetic and potential energies is a constant of the motion). Hint: The kinetic energy is (m / 2)(ds / dt)2 , where s = LX is the length of arc through which the pendulum swings and the potential energy is mgL[1 - cos(X)].

Why is mass not a factor in the equation for the period of a simple pendulum?

1. A simple pendulum on the surface of Earth is found to undergo 18.0 complete small‑amplitude...

1. A simple pendulum on the surface of Earth is found to undergo 18.0 complete small‑amplitude oscillations in 7.45 s. Find the pendulum's length ?. 2. A simple pendulum with a period ?=4.00s is attached to the ceiling of an elevator which is initially at rest. The acceleration due to gravity is ?=9.81 m/s2. a) Calculate the oscillation period ?up when the elevator begins to accelerate upwards with acceleration ?=2.00 m/s2. b) Calculate the oscillation period ?down when the elevator...

2. A pendulum exhibits simple harmonic motion when it is released at an angle θ =...

2. A pendulum exhibits simple harmonic motion when it is released at an angle θ = 9°. The length of the pendulum is l=0.86 m, and the pendulum bob has a mass m=0.3 kg. a. What is the pendulum’s frequency? b. Use energy conservation to find the pendulum bob’s speed when it passes through the lowest point of the swing? Assume that the difference in height between the lowest part of the swing and the highest part of the swing...

How to slove: Simple Harmonic Motion Amplitude = 10ᵒ m = 100.0 g Length =...

How to slove: Simple Harmonic Motion Amplitude = 10ᵒ m = 100.0 g Length = 1.000 m 0.850 m 0.700 m 0.550 m 0.400 m 0.250 m 0.100 m Trial t10 (s) T (s) t10 (s) T (s) t10 (s) T (s) t10 (s) T (s) t10 (s) T (s) t10 (s) T (s) t10 (s) T (s) 1 2 3 4 5 Average:

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