A mass M is free to slide along a frictionless rail. A pendulum of length L and mass m hangs from M. 1. Find the equations of motion. 2. Find the total energy

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A: The mathematical expression for frequency is given as, f=number of complete cyclestotal duration

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A: The potential energy stored converts to the kinetic energy. that is, 12kx2=12mv2kx2=mv2k=mv2x2

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Q: A spring whose constant is 40 N/m is suspended from a support. I know a mass of 20 kg is placed on…

A: Given that: The spring constant is k=40 N/m. The mass is 20 kg. The velocity of equilibrium is v=10…

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Q: A mass of 0.2 kg is attached to the end of an ideal spring and set into oscillation. The time…

A: Answer             k=0.292 Nm-1

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A: Here, x=3.60m-1.30m=2.30m

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Q: A simple harmonic oscillator (SHO) with a mass of 47 kg has a total energy of 3394 J. Determine how…

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Q: A pendulum consists of a mass m and a massless stick of length I. The pendulum support ocillates…

A: Given, A pendulum consists of a mass m and a massless stick of length l

Q: hung a 0.500 kg mass from the end of a 1.00 m long pendulum and suspended it from the end of a force…

A: Given that  Mass m=0.5 kg Length l= 1m

Q: A student in a biomechanics lab measures the length of his leg, from hip to heel, to be 0.90 m. What…

A: Given that,Length of his leg : L=0.9 m d=L2 The moment of inertia for a leg : I=13mL2Here we need to…

Q: A spring with a force constant of 25.5 N/m is connected to a mass of 0.35 kg. What is the period of…

A: The period of the oscillation is

Q: An air-track glider is attached to a spring. The glider is pulled to the right and released from…

A: The amplitude of the oscillation, A=vmaxωω=2πT⇒A=vmax2πT=vmaxT2π=32.0 cm/s2.40 s2π=12.2 cm

Q: A 2.6kg mass is a attached to a spring with a stiffness of 410N/m. In the picture on the left side,…

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Q: Total Energy of a Mass-Spring Assume the IVP i +x = 0, x(0) = 1, .x(0) = -4 models a mass-spring…

A: Given data:   x·· +x=0     ..........(i)  Boundary conditions:   x0=1  x· 0=-4

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Q: The frequency of oscillation of a swing on a different world is 2.3 Hz, and the acceleration due to…

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Q: Assume the cement bag weighing 20 N attached to a spring. The spring stretches to 6 m. Find the…

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Q: A student in a biomechanics lab measures the length of his leg, from hip to heel, to be 0.90 m. What…

A: Given, length of his leg, L=0.9 m d=L2 The  moment of inertia for a leg, I=13mL2

Q: Question 1: A mass m attached to a horizontal spring of spring constant k is oscillating on a…

A: Given that, The mass-spring system makes 180 oscillations during a time interval of 6 minutes.   The…

Q: An oscillator makes 322.1 oscillations in 4.255 minutes. What is the period of the oscillator?

A: Hi. as you have posted multiple questions and not specified which question needs to be solved, we…

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Q: A 0.20 kg ball is tied to a string.  It is pulled to an angle of 8.00º and released to swing as a…

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A: Given: The two ball meet at t=18s

Q: A 0.31-kg mass attached to an ideal spring oscillates horizontally with an amplitude 0.52 m. The…

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Q: A spring with a stiffness of 300 N/m is connected to a 15 kg mass. A displacement of 60 cm to the…

A: Given data: Spring constant (k) = 300 N/m Mass (m) = 15 kg Amplitude (A) = 60 cm = 0.60 m Required:…