Homework Answers
Solution) To maintain largest amplitude of oscillation , it should be at resonance which occurs when frequency is equal to natural frequency of the oscillator .
Option(3)
The same as the natural frequency of the oscillator .
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A sinusoidal force with a given amplitude is applied to an oscillator. To maintain the largest amplitude oscillation, t...
An oscillator consists of a block of mass 420 g connected to a spring. When set...
An oscillator consists of a block of mass 420 g connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.41 s. Find the (a) period, (b) frequency (in Hz), (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.
A 380 Hz sinusoidal voltage with a maximum amplitude of 120 V at t = 0 is applied across the terminals of an inductor.
A 380 Hz sinusoidal voltage with a maximum amplitude of 120 V at t = 0 is applied across the terminals of an inductor. The maximum amplitude of the steady-state current in the inductor is 20 A. Part A What is the frequency of the inductor current? Part B If the phase angle of the voltage is zero, what is the phase angle of the current? Part C What is the inductive reactance of the inductor? Part D What is the inductance of the inductor? Part E What is the...
Q1 - Two identical blocks are attached to identical springs. The oscillation amplitude of Block A...
Q1 - Two identical blocks are attached to identical springs. The oscillation amplitude of Block A is 10cm; and the amplitude of Block B is 5 cm. Which block has a greater oscillation period? A- Block A B- Block B C- The periods are the same for both Blocks. Q2 - For an object in oscillation, which of the following is defined to be the maximum displacement from the equilibrium position. A- Period B- Frequency C- Angular frequency D- Amplitude...
1. The solution for a SHO (simple harmonic oscillator) is given as: x(t) = 0.1 sin(3t...
1. The solution for a SHO (simple harmonic oscillator) is given as: x(t) = 0.1 sin(3t − π/6) meters. Include appropriate units in your answers. (a) What is the amplitude of oscillation? (b) What is the initial position of the oscillator? (c) What is the maximum velocity of the oscillator and at what value of x does it occur? (d) What is the maximum acceleration of the oscillator and where does it occur? (e) What are the period and frequency...
help with 1-3 1) A simple harmonic oscillator consists of a 0.100 kg mass attached to...
help with 1-3
1) A simple harmonic oscillator consists of a 0.100 kg mass attached to a spring whose force constant is 10.0 N/m. The mass is displaced 3.00 cm and released from rest. Calculate (a) the natural frequency fo and period T (b) the total energy , and (c) the maximum speed 2) Allow the motion in problem 1 to take place in a resisting medium. After oscillating for 10 seconds, the maximum amplitude decreases to half the initial...
1. An ideal (frictionless) simple harmonic oscillator is set into motion by releasing it from rest...
1. An ideal (frictionless) simple harmonic oscillator is set into motion by releasing it from rest at X +0.750 m. The oscillator is set into motion once again from x=+0.750 m, except the oscillator now experiences a retarding force that is linear with respect to velocity. As a result, the oscillator does not return to its original starting position, but instead reaches = +0.700 m after one period. a. During the first full oscillation of motion, determine the fraction of...
can someone please help me answer these questions? A simple harmonic oscillator consists of a 10...
can someone please help me answer these questions?
A simple harmonic oscillator consists of a 10 kg mass attached to a spring with a spring constant of 120 N/m. The mass is displaced 20.37 m from the equilibrium position, held motionless, and then released. (a) Calculate the angular frequency and the period. For radians, enterrad" as the unit. For a full list of accepted units, use the "Units Help" link below. Number Units T Number Units (b) Calculate the maximum...
Consider the harmonic oscillator with friction given by (t)2(t)wr(t) = 0, kis the oscillation constant. We...
Consider the harmonic oscillator with friction given by (t)2(t)wr(t) = 0, kis the oscillation constant. We where I cR -> R and B > 0 is the friction constant and w0 m consider the case of weak damping given by w- p2>0. As you have checked in exercise 3 on sheet 1 the general solution to this equation is given by 2(t) — еxp(- Bt) [А. (wt)B sin (wt)] (3) COS where w this is a two-parameter family of solutions....
Part b) Increase the applied force magnitude to the largest value permitted by the simulation. The...
Part b) Increase the applied force magnitude to the
largest value permitted by the simulation.
The words “Block on verge of slipping” should appear. This means
that the static frictional force on the aluminum block has reached
its physical upper limit. It is not possible, given the
intermolecular forces between the atoms in the welds, for the
static frictional force to be any larger. We shall label this
maximum static frictional force as
f→s,max. What is f→s,max on the block...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
An oscillator consists of a block of mass 420 g connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.41 s. Find the (a) period, (b) frequency (in Hz), (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.
help with 1-3
1) A simple harmonic oscillator consists of a 0.100 kg mass attached to a spring whose force constant is 10.0 N/m. The mass is displaced 3.00 cm and released from rest. Calculate (a) the natural frequency fo and period T (b) the total energy , and (c) the maximum speed 2) Allow the motion in problem 1 to take place in a resisting medium. After oscillating for 10 seconds, the maximum amplitude decreases to half the initial...
1. An ideal (frictionless) simple harmonic oscillator is set into motion by releasing it from rest at X +0.750 m. The oscillator is set into motion once again from x=+0.750 m, except the oscillator now experiences a retarding force that is linear with respect to velocity. As a result, the oscillator does not return to its original starting position, but instead reaches = +0.700 m after one period. a. During the first full oscillation of motion, determine the fraction of...
can someone please help me answer these questions?
A simple harmonic oscillator consists of a 10 kg mass attached to a spring with a spring constant of 120 N/m. The mass is displaced 20.37 m from the equilibrium position, held motionless, and then released. (a) Calculate the angular frequency and the period. For radians, enterrad" as the unit. For a full list of accepted units, use the "Units Help" link below. Number Units T Number Units (b) Calculate the maximum...
Consider the harmonic oscillator with friction given by (t)2(t)wr(t) = 0, kis the oscillation constant. We where I cR -> R and B > 0 is the friction constant and w0 m consider the case of weak damping given by w- p2>0. As you have checked in exercise 3 on sheet 1 the general solution to this equation is given by 2(t) — еxp(- Bt) [А. (wt)B sin (wt)] (3) COS where w this is a two-parameter family of solutions....
Part b) Increase the applied force magnitude to the
largest value permitted by the simulation.
The words “Block on verge of slipping” should appear. This means
that the static frictional force on the aluminum block has reached
its physical upper limit. It is not possible, given the
intermolecular forces between the atoms in the welds, for the
static frictional force to be any larger. We shall label this
maximum static frictional force as
f→s,max. What is f→s,max on the block...
2.) A spring hangs vertically from the ceiling. Its natural length is 1.0 m. When a mass of 2.0 kg is attached to the spring, the spring's equilibrium length is 1.5 m. (a.) What is the spring constant k? The mass displaced vertically from equilibrium by 1.0 cm. (b.) What is the period of oscillation? (c.) What is the maximum speed of the mass? (d.) Suppose I wanted to maximize the oscillation amplitude by tapping on the mass. At what...
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