![PHY 221 Test #4 Show Your Work Name: 1] A harmonic oscillator consists of a block attached to a spring (k 400 N/m) The mass is initially displaced to x 0.128 m. At some later time, t, the block has the following kinematic variables: 0.100 m, v 13.6 m/s. a 123 m/s2 a) find the frequency of oscillation b) the mass of the block c) the amplitude of the motion. d) and the total mechanical energy of the system.](http://img.homeworklib.com/questions/dfc071e0-ce25-11ea-99ad-07f73a567dfe.png?x-oss-process=image/resize,w_560)
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A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The...
An oscillator consists of a block attached to a spring (k = 450 N/m). At some...
An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m
c) The equation below describes the position r of a block attached to a spring at...
c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s...
Problem 2. A simple harmonic oscillator consists of a mass m attached to a spring with...
Problem 2.
A simple harmonic oscillator consists of a mass m attached to a
spring with spring constant k.
The mass is displaced a distance a and released from rest. v0 is
the nature frequency.
Problem 4 Allow the motion in Problem 2 to take place in a resisting medium. After oscillating for a time t1, the maximum amplitude decreases to half its initial value
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m....
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth...
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth on a frictionless horizontal surface. Suppose the mass of the box is 5.0 kg. The motion is started by holding the box at .50m from its central position, using a force of 40.0 N. Then the box is let go and allowed to perform simple harmonic motion. What is the amplitude of the motion? What is the spring constant k? What is the maximum...
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 400 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.121 m and v = 4.020 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block attached to a spring, moving back and forth...
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
Pls help with detailed explanation of solution Consider a block attached to a spring of spring...
Pls help with detailed explanation of solution Consider a block attached to a spring of spring constant k = 400 N/m. At time t1, the horizontal position (as measured from the location of the end of the spring when the spring is at its natural length) is x = 0.100 m, the velocity is v = −13.6 m/s and the acceleration is a = −123 m/s2. Calculate: (a) The frequency of oscillation (Hint: Consider calculating a/x.) (b) The mass of...
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...
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring...
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?
An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m
c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s...
Problem 2.
A simple harmonic oscillator consists of a mass m attached to a
spring with spring constant k.
The mass is displaced a distance a and released from rest. v0 is
the nature frequency.
Problem 4 Allow the motion in Problem 2 to take place in a resisting medium. After oscillating for a time t1, the maximum amplitude decreases to half its initial value
A simple harmonic oscillator consists of a block attached to a spring with k -200 N/m. The block slides on a frictionless surface, with equilibrium point x 0 and amplitude 0.20 m. A graph of the block's velocity v as a function of time t is shown in figure below. The horizontal scale is set by's 0.20s. What are (a) the period of the SHM, (b) the block's mass, (c) its displacement att- 0, (d) its acceleration att-0.10 s, and...
A simple harmonic oscillator consists of a block attached to a
spring, moving back and forth on a frictionless horizontal surface.
Suppose the mass of the box is 5.0 kg. The motion is started by
holding the box at 0.50 m from its central position, using a force
of 40.0 N. Then the box is let go and allowed to perform simple
harmonic motion.
(a) What is the amplitude of the motion?
(b) What is the spring constant k?
(c)...
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...
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?
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