A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0,29 s an...
A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0,29 s and a range (from the maximum in one direction to the maximum in the other) of 4,8 cm. At time t = 0 it is at its central position and moving in the +x direction. What is its position (cm) when t = 49 s? Answer in two decimal places.
Homework Answers
Solution)
We know,
x = A sin(ωt)
Hete, amplitude,
A = (4.8 cm) / 2
A = 2.4 cm
Angular velocity,
ω = 2π / T
ω = 2π / (0.29 s)
Also, at time t = 49 s,
x = (2.4 cm) sin( [2π / (0.29 s)] × (49 s) )
x = -0.775 cm
======
Add Answer to:
A machine part is vibrating along the x-axis in simple harmonic motion with a period of 0,29 s an...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium ...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at -0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 1.75 cm and its period is 0.667 s. You observe the motion for 5 seconds. a. At what time(s) in those 5 seconds do you observe the n 3. x=0 +X Ax acceleration? At what time(s) does in...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the...
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at t=0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 3.00cm and the frequency is 1.50Hz. At what earliest time does the mass have the maximum positive acceleration (i.e. pointing in the positive x direction)? A. t=0.667 seconds B. t=1.50 seconds C. t=0.500 seconds D. t=0.167 seconds E....
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is2.50 cm, and the frequency is 1.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t, and ?.) x = (b) Determine the maximum speed of the particle. cm/s (c) Determine the earliest time (t...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t0 and moves to the right. The amplitude of its motion is 2.50 cm, and the frequency is 2.90 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x2.5sin (5.8xt)...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.60 cm, and the frequency is 1.20 Hz (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.)...
Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion...
Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion along the x-axis with a frequency of 2.5 Hz. At 1 = 0 its position and velocity components are +1.1 cm and -15 cm/s, respectively. Find the position, velocity, and acceleration of the needle at 1 = 3.0 s.
An object undergoing simple harmonic motion in the x-direction has a period of 2.0 seconds, an...
An object undergoing simple harmonic motion in the x-direction has a period of 2.0 seconds, an amplitude of 5 cm and begins its oscillation at t = 0 at its maximum value of x. What equation could describe its motion?
A 0.109-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points ㄨㄧ--0.279 m...
A 0.109-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points ㄨㄧ--0.279 m and X2 = 0.499 m. The period of oscillation is 0.557 s. Find the frequency, the equilibrium position, Xeq, the amplitude, A, the maximum speed, Vmax, the maximum magnitude of acceleration, amax, the force constant, k, and the total mechanical energy, Etot
A mass on a spring moving along the x-axis in simple harmonic motion starts from the equilibrium position, the origin, at -0 and moves to the right (consider the right to be the positive x direction). The amplitude of its motion is 1.75 cm and its period is 0.667 s. You observe the motion for 5 seconds. a. At what time(s) in those 5 seconds do you observe the n 3. x=0 +X Ax acceleration? At what time(s) does in...
3. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t=0 s and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Determine the position, velocity, and acceleration equations for this particle. (b) Determine the maximum speed of this particle and the first time it reaches this speed after t=0 s.
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t0 and moves to the right. The amplitude of its motion is 2.50 cm, and the frequency is 2.90 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x2.5sin (5.8xt)...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 2.60 cm, and the frequency is 1.20 Hz (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.)...
Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion along the x-axis with a frequency of 2.5 Hz. At 1 = 0 its position and velocity components are +1.1 cm and -15 cm/s, respectively. Find the position, velocity, and acceleration of the needle at 1 = 3.0 s.
A 0.109-kg particle undergoes simple harmonic motion along the horizontal x-axis between the points ㄨㄧ--0.279 m and X2 = 0.499 m. The period of oscillation is 0.557 s. Find the frequency, the equilibrium position, Xeq, the amplitude, A, the maximum speed, Vmax, the maximum magnitude of acceleration, amax, the force constant, k, and the total mechanical energy, Etot
Most questions answered within 3 hours.
-
Two small plastic spheres are given positive electrical charges.
When they are a distance of 15.4...
asked 4 minutes ago -
An acidic solution containing gold ions is
electrolyzed, producing gaseous oxygen (from water) at the anode...
asked 19 minutes ago -
Assume that the population of Mexico is 128
million and that the population increases 1.01
percentannually....
asked 1 hour ago -
Can someone please help me add appropriate descriptive
comments to each line of code in the...
asked 1 hour ago -
Romeo wishes to throw a bouquet of flowers to Juliet, who is on
a second-story balcony,...
asked 2 hours ago -
Why is QE a controversial monetary policy tool.
A. It may lead to excessive inflation.B. By...
asked 2 hours ago -
Principles of Programming midterm study guide help!
1.)
______ Which of the following would reference the...
asked 2 hours ago -
A finite potential well has depth U0 = 2.78 eV . What is the
penetration distance...
asked 3 hours ago -
1. The bus bars of a power station are in two sections A and B
separated...
asked 3 hours ago -
Fiscal policy is the deliberate manipulation of taxes and
government spending to alter GDP, employment, inflation...
asked 3 hours ago -
evaluating an expression using only one digit and + and - as
operators ....3+5-1+7-5+8
-----------------------
stack...
asked 3 hours ago -
Two concentric current loops lie in the same plane. The smaller
loop has a radius of...
asked 4 hours ago