Consider the double-pendulum system shown in the following figure consisting of two identical rods and bobs attached to them, coupled with a linear spring. The system’s free motion is described by   The system’s free motion is described by

Q: In the figure, a stick of length L = 2.0 m oscillates as a physical pendulum. (a) What value of…

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Q: What happens to the total mechanical energy as the pendulum oscillates? Discuss what happens to the…

A: The total mechanical energy of the pendulum remains constant. When the pendulum starts from…

Q: Consider the two graphs, shown below, for a block that oscillates back and forth on a frictionless…

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Q: A young girl and her mother are swinging on a swing set. Who, if either, has the longer period of…

A: The period of the swing is, T=2πLg where, L = effective length.

Q: In the case of a damped pendulum, how would the dyanmics change as a fixed point varied from being a…

A: In this question we will talk about the phenomena of damping of pendulum.

Q: Aumiform rod of length 24. swings from a pivot ana physical pendulum. How far, in terma of L. should…

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Q: The simple pendulum was in a horizontal position at point p. We released it until it reached point Q…

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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: Consider a place where the gravity is one-ninth the gravity on Earth (g' = g/9), then the frequency…

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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: The Lagrangian of the system is given by: * 1 L = m(210; + l²ô¿) + ml²è‚¿2(cos0,cos02 – sin8,sin02)…

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Q: many nis pendulum n during one

A: Given as, Damping decrease is 0.2.

Q: Consider harmonic oscillator: a mass m suspended by a spring of spring constant k. Assuming no drag…

A: Solution:-Given that

Q: Use the three masses to determine if the period is affected by changing the mass. Measure the period…

A: Concept used: Time period of pendulum executing Simple harmonic motion is given by: T=2πlg l=length…

Q: Consider a place where the gravity is 4 times the gravity on Earth (g' = 4g), then the %3D frequency…

A: Given Acceleration due to gravity  on some planet is g'=4g

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: A damped mechanical system is shown in the figure (k=204 N/m, m = = 2 kg) is subject to the…

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Q: A solid disk of radius R can hang on a horizontal axis at a distance h from its center, (a) Find the…

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Q: Consider a situation in which a pendulum made from a wooden sphere. The mass of the pendulum is 100…

A: Given :      Mass of the pendulum, m =100 g=100×10-3 kg     Length of the pendulum, l=1m Question :…

Q: In a study designed to better understand the dynamics of walking, a subject stood with one leg at…

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Q: A Bob of mass 120 g is is oscillating with an speed of 10m/s. (Same like in a Pendulum) What will…

A: Solution:  The potential energy of the bob of the pendulum is maximum at the extreme positions and…

Q: When setting the length of the pendulum, it is important that: The length of string from the pivot…

A: When setting the length of the pendulum, it is important that , the accurately measure length of the…

Q: which statements are true about Simple Harmonic Oscillator?   Energy is conserved The amplitude of…

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Q: Consider the oscillating mass spring system above, which is shown at some time t > 0. Suppose the…

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Q: A simple pendulum of mass m and length L oscillates with a period T on Earth. What happens to the…

A: Mass of a simple pendulum is m Length of pendulum is L Time period of oscillations is T Find: Effect…

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…

Q: TEACHER PRACTICE ANOTHER A "seconds pendulum" is one that moves through its equilibrium position…

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Q: Two identical pendulums are held at a 20 • angle. Instead of simply releasing them, each of the…

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Q: Grandfather clocks keep time by advancing the hands a set amount per oscillation of the pendulum.…

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Q: As the length of the pendulum increases, what happens to the total energy of the system? O decreases…

A: The total energy in pendulum system is mgL(1-cosθ) where m is mass of object , and L is length of…