Problem 1. A mass oscillates on a horizontal spring performing a simple harmonic motion. Time t...

Problem 1. A mass oscillates on a horizontal spring performing a simple harmonic motion. Time t = 0.00 sec corresponds to the moment when the mass is at the location 15.0 cm to the left of the equilibrium, and moving to the right.

1. If the maximal speed of this oscillator is 1.50 m/s, and the maximal magnitude of its acceleration is 4.50 m/s2 what is the amplitude and the period of this oscillator?

2. Using circle of reference, calculate the phase shift ?₀ for this oscillator.

3. What velocity does the mass have at the instant t = 1.50 sec?

Expert Solution

genius_generous answered 2 years ago

A mass on a spring undergoes simple harmonic motion. At t = 0 its displacement is...

A mass on a spring undergoes simple harmonic motion. At t = 0 its displacement is 1m and its velocity is 1m/s towards the equilibrium position. What single piece of information allows you to determine frequency and amplitude? A. mass B. spring constant (k) C. kinetic energy at t = 0 D. acceleration at t = 0 E. force at t = 0

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring...

Four mass–spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass–spring systems from largest to smallest. m = 2 kg , k = 2 N/m m = 2 kg , k = 4 N/m m = 4 kg , k = 2 N/m m = 1 kg , k = 4 N/m

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is...

The displacement as a function of time of a 4.0kg mass spring simple harmonic oscillator is . What is the displacement of the mass at 2.2 seconds? ___________m What is the spring constant? ___________________N/m What is the position of the object when the speed is maximum? ______________m What is the magnitude of the maximum velocity?____________________m/s

A spring-mass system undergoes simple harmonic motion. Which of the following statements are True/False? The kinetic...

A spring-mass system undergoes simple harmonic motion. Which of the following statements are True/False? The kinetic energy is maximum at the point of zero displacement. (True or False) The potential energy is maximum at the point of maximum displacement. (True or False) The force exerted by the spring is zero at the point of maximum displacement. (True or False ) The acceleration is greatest at the point of zero displacement. (True or False ) If the amplitude of the oscillations...

A mass-spring system with 0.200 kg undergoes simple harmonic motion with period 0.55 seconds. When an...

A mass-spring system with 0.200 kg undergoes simple harmonic motion with period 0.55 seconds. When an additional mass Δm is added, the period increases by 20 % . FIND Δm show work

An object attached to a spring vibrates with simple harmonic motion as described by the figure...

An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude. (b) For this motion, find the period. (c) For this motion, find the angular frequency. (d) For this motion, find the maximum speed (e) For this motion, find the maximum acceleration. (f) For this motion, find an equation for its position x in terms of a sine function.

A 323 g object is attached to a spring and executes simple harmonic motion with a...

A 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of the system is 6.70 J. (a) Find the maximum speed of the object. m/s (b) Find the force constant of the spring. N/m (c) Find the amplitude of the motion. mA 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of...

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The...

A mass oscillates on a spring with a period T and an amplitude 0.48 cm. The mass is at the equilibrium position x=0 at t=0, and is moving in the positive direction. a.) Where is the mass at the time t=T/8? b.) Where is the mass at the time t=T/4? c.) Where is the mass at the time t=T/2? d.) Where is the mass at the time t=3T/4? e.) Plot the position versus time graph with the vertical axis representing...

Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion...

Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion and its concepts are in min 300 words? (In word text, no pictures) b) What is the Aim of The helical spring in simple harmonic motion experiment where in oscillations of 30 how long it takes or the time it takes for each set of weights is measured?(min 100 words)

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the...

A 15-pound weight that is attached to a spring exhibits simple harmonic motion. a) Determine the equation of motion if the spring constant is 28lb/ft and if the weight is released 2 feet below the equilibrium, with a downward velocity of 64ft/sec. b) Find the maximum distance away in feet from the equilibrum.

Question