# A simple harmonic oscillator's velocity is given by vy(t) = (0.86 m/s)sin(11t − 5.55). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer) a) t = 0s

119,543 results
1. ## physics

A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin (PIE + PIE/3). The velocity (in m/s) of the body at t=1 second is:

2. ## Physics

A microphone is attached to a spring that is suspended from the ceiling, as the drawing indicates. Directly below on the floor is a stationary 624-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 2.31 s.

3. ## Cal

If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. s'(t) = -Aω sin(ωt + δ) When is the velocity 0? (Use n as the arbitrary integer.) t= _____________ I thought it was 0, but

4. ## Physics

At what positions is the speed of a simple harmonic oscillator half its maximum? That is, what values of x / X give v = ±vmax/2 , where X is the amplitude of the motion? Hello, I am so confused about this question. I am not really sure where to start.

5. ## Harmonic Oscillation

The velocity of a certain simple harmonic oscillator is given by: v=-(12m/s)sin [(6.0rad/s)t]. What is the amplitudeof the simple harmonic oscillator. Please show your work.

6. ## Physics

So I'm dong a lab about simpkle harmonic motion and I have to answer questions at the end of the lab were I'm provided this question to answer here's a step that's not the actual question but the question makes reference to it Step 3 using the point and

7. ## Physics

A particle moves along the x axis. It is initially at the position 0.350 m, moving with velocity 0.110 m/s and acceleration -0.380 m/s2. Suppose it moves with constant acceleration for 3.50 s. (a) Find the position of the particle after this time. (b) Find

8. ## Trigonometry

Given the equation for simple harmonic method d=1/12 sin(60 pi t) answer the following questions: b)Find the frequency i got 60pi c)Calculate the value of d when t=3 d)Determine the least positive value of t for which d=0.

9. ## physics

A particle that undergoes simple harmonic motion has a period of 0.4 s and an amplitude of 12 mm. The maximam velocity of the particle is?

10. ## physics

A particle moving in simple harmonic motion passes through the equilibrium point x=0, 3 times per second. At t=0 its velocity at x=−0.0325m is negative. It travels 0.5m in a complete cycle. a) what is the phase constant in cm. i found the equation:

11. ## physics

A simple harmonic oscillator has a frequency of 2.05 Hz. What will be its amplitude of oscillation if it's started from its equillibrium position with a velocity of 1.9 m/s? Express your answer in m to three significant digits.

12. ## physics

A simple harmonic oscillator takes 13.0 s to undergo seven complete vibrations. (a) Find the period of its motion. (b) Find the frequency in hertz. (c) Find the angular frequency in radians per second.

13. ## physics

If a body moving with simple harmonic motion has an angular velocity of 50 radiansper second, and an amplitude of 10 cm, calculate it's linear velocity?

14. ## physics

Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 3.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 62.0 kg diver on the board?

15. ## physics

The velocity of a simple harmonic oscillator is given by; v = + 6.92*sin(10.5*t) (mks units) What is its angular frequency? omega = What is the amplitude of the motion? A = Where is the mass at the time t = 86.08 seconds? x = If the mass is 0.53 kg, what

16. ## physics

A simple harmonic oscillator consists of a block of mass 4.40 kg attached to a spring of spring constant 110 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.126 m and v = 4.120 m/s. (a) What is the amplitude of the oscillations? What

17. ## Science

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute,

18. ## Physics

The spring shown in the image below has an unstretched length of 3.00m, and a spring constant of 75.0N/m. The mass of m=7.50kg is attached to the end of the spring, and the mass is pulled down to stretch the spring to 4.50m in length. This began the mass

19. ## physics

A small ball is set in horizontal motion by rolling it with a speed of 3.00 m/s across a room 12.0m long, between two walls. Assume that the collisions made with each wall are perfectly elastic and that the motion is perpendicular to the two walls. (a)Show

20. ## AP Calculus AB

2. For an object whose velocity in ft/sec is given by v(t) = -t^2 + 6, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? 3. Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) -

21. ## PHYSICS

What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in Fig. 15-30 if the position function x(t) has the form x = xmcos(ωt + φ)? The vertical axis scale is set by vs = 5.50 cm/s. Since i cant

22. ## math

If a rock is thrown upward on the planet Mercury with a velocity of 11 m/s, its height in meters t seconds later is given by y = 11t - 1.86t sqaure a : Find the average velocity over the given time intervals: [1, 2] , [1, 1.5] , [1, 1.1] , [1, 1.01] [1,

23. ## physics

Which of the following statements is not true about a particle executing Simple Harmonic Motion? Choose one answer. a. Its velocity is maximum at the equilibrium position. b. Its acceleration depends only upon its displacement at that instant. c. Its

24. ## physics

So I'm doing a lab about simple harmonic information and I have to answer questions at the end of a lab were I'm provided this question to answer here's a step that's not the actual question but the question makes reference to it step 3 Using the pointer

25. ## Physics Help

A bungee jumper undergoes simple harmonic motion with amplitude 3.5 m and frequency 0.135 Hz. Assume the bungee jumper follows the simple harmonic motion equation x=Acos(wt). A. Determine the bungee jumper's velocity at 0.25 s B. Determine the bungee

26. ## physics

A simple harmonic oscillator executes motion whose amplitude is .20 m and it completes 60 oscillations in 2 minutes Calculate its time period and angular frequency

27. ## Physic

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x = (1.6m)*sin (πt + π/3). What is the velocity (in m/s) of the body at t = 1.3 s?

28. ## Physics

Figure a is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.75 rad/s; figure b is a partial graph of the corresponding velocity function v(t). The vertical axis scales are set by xs = 2.50 cm

29. ## Physics

Two different simple harmonic oscillators have the same natural frequency (f=5.60 Hz) when they are on the surface of the Earth. The first oscillator is a pendulum, the second is a vertical spring and mass. If both systems are moved to the surface of the

30. ## physics

A 1.88-m long rope has a mass of 0.139 kg. The tension is 55.4 N. An oscillator at one end sends a harmonic wave with an amplitude of 1.09 cm down the rope. The other end of the rope is terminated so all of the energy of the wave is absorbed and none is

31. ## Physics

A particle P of mass 2kg undergoes simple harmonic motion along the x-axis and is attracted towards the origin by a force who's magnitude is numerically equal to 8XN. If it is initially at rest at x=20m, and assuming a general solution of the form A cos wt

32. ## physics

A simple harmonic oscillator's velocity is given by vy(t) = (0.86 m/s)sin(11t − 5.55). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer) a) t = 0s b) t = 0.5s c) t =

33. ## Physics

Calculate the ratio of the kinetic energy to the potential energy of a simple harmonic oscillator when its displacement is 1/8 of its amplitude. (The answer is an integer.) Approach: Choose a specific trigonometric form for the position function x(t). It

34. ## Calculus

If the equation of motion of a particle is given by s = A cos(ωt + δ), the particle is said to undergo simple harmonic motion. (a) Find the velocity of the particle at time t. s'(t) = - A ω sin(ωt + δ) I figured out how to do part a, but I don't know

35. ## physics

Part (a) of the figure below is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.00 rad/s; Part (b) of the figure is a partial graph of the corresponding velocity function v(t). The vertical axis

36. ## damped harmonic oscillation

For a damped simple harmonic oscillator, the block has a mass of 2.4 kg and the spring constant is 14 N/m. The damping force is given by -b(dx/dt), where b = 260 g/s. The block is pulled down 11.0 cm and released. (a) Calculate the time required for the

37. ## Motion

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute,

38. ## physics

A 10 g particle undergoes Simple Harmonic Motion with an amplitude of 2.0 mm, a maximum acceleration of magnitude 8.0 X 10^3 m/s^2, and an unknown phase constant, theta. What are a.) the period of the motion, b.) the maximum speed of the particle, and c.)

39. ## Motion

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute,

40. ## Physics: Simple Harmonic Motion

A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle c.) total mechanical

41. ## physics

A simple harmonic oscillator executes motion whose amplitude is 0.20 m and it completes 60 oscillations in 2 minutes. i) Calculate its time period and angular frequency. ii) If the initial phase is 45°, write expressions for instantaneous displacement,

42. ## Simple harmonic motion

The midpoint of a guitar string executes simple harmonic motion with motion following the form x(t) = A sin(ωt + φ). Amplitude (A)=1.60mm, Angular Velocity (w)=2760 and phase constant (o) = pi/2. How do I find the initial displacement, velocity and

43. ## physics

A simple harmonic oscillator has spring constant = 8.8N/m , amplitude = 11cm , and maximum speed 4.6 m/s. what is the speed at x=6cm?

44. ## physics

A simple harmonic oscillator has spring constant = 8.8N/m , amplitude = 11cm , and maximum speed 4.6m/s . what is the speed when x=6cm?

45. ## Physics

The velocity of an object in simple harmonic motion is given by v(t)= -(0.275 m/s)sin(23.0t + 2.00π), where t is in seconds. 1) What is the first time after t=0.00 s at which the velocity is -0.100 m/s? 2) What is the object's position at that time? I

46. ## simple harmonic motion

a simple harmonic motion is represented by x=4sin[3t+3.14/4].find the angular frequency and amplitude and what is the velocity and acceleration at t=1 second.

Hi, a particle is moving in simple harmonic motion such that a = -4x. ( x in metres, t in seconds) Find the maximum speed at which the particle is travelling. Velocity = 6cos2t. My teacher said to put t = 0 and sub it into velocity equation above, but I

48. ## math

If a rock is thrown upward on the planet Mercury with a velocity of 11 m/s, its height in meters t seconds later is given by y = 11t - 1.86t sqaure a : Find the average velocity over the given time intervals: [1, 2] , [1, 1.5] , [1, 1.1] , [1, 1.01] [1,

49. ## physics

A simple harmonic oscillator consists of a 1.1 kg block attached to a spring (k = 180 N/m). The block slides on a horizontal frictionless surface about the equilibrium point x = 0 with a total mechanical energy of 3.0 J. (a) What is the amplitude of the

50. ## calculus

If an equation of motion of a particle is given by s(t)= Acos(ùt + ä), the particle is said to undergo simple harmonic motion. Find the velocity of the particle at time t. When is the velocity 0?

51. ## Physics

1. If a mass on a spring and a pendulum have the same period on the moon where the gravity is about 1/6 of its value on the Earth, which one will run faster on the Earth? a. The mass on the spring. b. The pendulum. c. They will both run the same. d. It

52. ## Physics

So I'm doing a lab about simple harmonic information and I have to answer questions at the end of a lab were I'm provided this question to answer here's a step that's not the actual question but the question makes reference to it step 3 Using the pointer

53. ## Physics

A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle c.) total mechanical

54. ## Physics

Consider a damped oscillator subject to a periodic triangle wave force F(t) with period T, such that F(t+T) = F(t), F(t) = F_0(-1 + 4t/T) for 0 ≤ t ≤ T/2 and F(t) = F_0(3 - 4t/T) for T/2 ≤ t ≤ T. Assume the oscillator is underdamped. Compute the

55. ## Physics

A 10kg particle undergoes simple harmonic motion with an amplitude of 2.0mm, a maximum acceleration of 8.0x10^3 m/s^2, and an unknown phase constant (phi) What are: a.) the period of the motion b.) the maximum speed of the particle c.) total mechanical

56. ## Physic

A body weighing 150 N, moves with simple harmonic motion. The velocity and acceleration of the body when it is 200 mm from the centre of oscillation, are 5 m/s and 20 m/s2 respectively.Determine (a) amplitude of motion ,no. of vibrations per minute,

57. ## physics

The spring shown in the image below has an unstretched length of 3.00m, and a spring constant of 75.0N/m. The mass of m=7.50kg is attached to the end of the spring, and the mass is pulled down to stretch the spring to 4.50m in length. This began the mass

58. ## physics

A body oscillates with simple harmonic motion along the x axis. Its displacement varies with time according to the equation x =5sin πt + π 3( ). The velocity of the body at t = 1.0 s is (-8 m sec )

59. ## Physics

A stretched string is attached to an oscillator. On which of the following quantities does the wavelength of the waves on the string depend? Select all that apply. The choices are: A) The frequency of the oscillator. B) The tension applied to the string.

60. ## physics

The motion of a certain simple harmonic oscillator is described by: x(t) = (12 cm) sin [(1 s ^(-1)) t] What is the earliest time t > 0 or t = 0 at which the oscillator's velocity is zero?

61. ## Physics

The displacement of a harmonic oscillator is given by y = 8.4 sin(14t), where the units of y are meters and t is measured in seconds. What is its maximum velocity?

62. ## Algebra

I need to find the future population using the model P=42+20ln(11t+1) t= time in years I need to find when it will be 180. I have my work below, but I am stuck. The answer I get is not right, it will not add up to 180. Maybe I am wrong some where.

63. ## physics

The equation of motion of a simple harmonic oscillator is given by x(t) = (9.0 cm)cos(12πt) − (5.4 cm)sin(12πt), where t is in seconds. (a) Find the amplitude. Determine the period. (c) Determine the initial phase.

64. ## physics

A simple harmonic oscillator consists of a block of mass 4.40 kg attached to a spring of spring constant 110 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.126 m and v = 4.120 m/s. (a) What is the amplitude of the oscillations? What

65. ## PHYsics !!

a) What do you understand by Simple Harmonic Motion? b) A simple harmonic motions is characterized by the equation x = (10 cm) sin (0.1t + ) where, x is in cm and t is in seconds Determine the i. amplitude and angular frequency. ii. linear frequency and

66. ## physics

a simple harmonic oscillator consists of a block of mass 2 kg attached to a spring of spring constant 100 N/m. when t=1 s, the position and velocity of the block are x=.129 m and v=3.415 m/s. A) what is the amplitude i figured that out and got sqrt(50) B)

67. ## physics

A simple harmonic oscillator with = 0.845 and total energy = 145 has amplitude 1.45 . A) find spring constant B) find period C) find max speed D) find max acceleration

68. ## physics

A simple harmonic oscillator consists of a block of mass 1.20 kg attached to a spring of spring constant 190 N/m. When t = 1.80 s, the position and velocity of the block are x = 0.124 m and v = 3.190 m/s. (a) What is the amplitude of the oscillations? What

69. ## physics

At what displacement from the equilibrium is the total energy of a simple harmonic oscillator one - sixths KE and five - sixth PE? Answer should be in terms of the amplitude A.

70. ## physics

As in the figure below, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 ✕ 10−2 kg/m, creating a standing transverse wave. There is a 4kg block hanging from the other end of the rope over a pulley. The oscillator has an

71. ## physics

I'm having trouble with question 2, please help The velocity of an object in simple harmonic motion is given by v(t)= -(0.275 m/s)sin(23.0t + 2.00π), where t is in seconds. 1) What is the first time after t=0.00 s at which the velocity is -0.100 m/s? 2)

72. ## Physics

What is the velocity of the simple harmonic motion problem? Position of the graph is y= .4*cos(2pi*1/3*x)+1.2 I need to find the velocity as well as the acceleration. I have worked through it and keep getting that the velocity is 0. I don't believe that is

73. ## Physics

What is the velocity of the simple harmonic motion problem? Position of the graph is y= .4*cos(2pi*1/3*x)+1.2 I need to find the velocity as well as the acceleration. I have worked through it and keep getting that the velocity is 0. I don't believe that is

74. ## physics

As in the figure below, a simple harmonic oscillator is attached to a rope of linear mass density 5.4 ✕ 10^−2 kg/m, creating a standing transverse wave. There is a 3.2-kg block hanging from the other end of the rope over a pulley. The oscillator has an

75. ## Physics

In a simple harmonic oscillator that is vertical(so the forces on the mass is gravitational and/or spring), if more mass is added at the end, will the amplitude change? Why?

76. ## physics

In the figure below, a damped simple harmonic oscillator has mass m = 220 g, k = 95 N/m, and b = 70 g/s. Assume all other components have negligible mass. What is the ratio of the amplitude of the damped oscillations to the initial amplitude at the end of

77. ## physics

A 1-kg block executes simple harmonic motion with an amplitude A = 15 cm. In 6.8 sec, the block completes 5-oscillations. Determine the kinetic energy of the oscillator, K = ?, at a position where the potential energy is twice the kinetic energy (U = 2K).

78. ## Physics

A mass m = 5.7kg is attached to two springs as it slides along a frictionless floor, while the springs are fastened to two walls. The springs both have k = 420 N/m and are both in their relaxed states (unstretched and uncompressed) when the mass is

79. ## Physics Phase Constant

Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a] ............x(cm).............. .................5-|-.................

80. ## phy 101

the velocity of a body performing simple harmonic motion is given as what

81. ## physics

A simple harmonic oscillator consists of a 1.1 kg block attached to a spring (k = 180 N/m). The block slides on a horizontal frictionless surface about the equilibrium point x = 0 with a total mechanical energy of 3.0 J. (a) What is the amplitude of the

82. ## Math

Write an equation with phase shift 0 to represent simple harmonic motion with initial position -1/2, amplitude 1/2, and period 4. I got d=(1/2) sin (pi/2) t + (1/2). Is this correct?

83. ## Osciallations

A harmonic oscillator has mass 0.530km and an ideal spring with force constant 146N/m . Find the period, frequency, and angular frequency.

84. ## Physics

Suppose that the force acting on a mass m is F=-kx+fsin(omega)t. a.) show that x(t)= A sin omegat is a possible motion for this simple driven oscillator if A= f/k-m omega^2 b.) what is the amplitude when the frequency is very small? I hav no idea where to

85. ## Physics

An object is ocsillating in simple harmonic motion with an amplitude of 10cm and a period of 2sec.find the magnitude, velocity and it displacement from equilibrium is 10cm & -5cm.

86. ## physics

A body moving with simple harmonic motion in a straight line has a velocity V and acceleration A, when the instaneous displacement X in cm from it maximum position is given by X is equal to 2.5sin0.4"t were t is in second, determine the magnitude of

87. ## Physics Phase Constant

..im really stuck on this. can someone please explain? ------- Figure A [[which i tried to recreate below]] is a partial graph of the position function x(t) for a simple harmonic oscillator with an angular frequency of 1.1 rad/s. [a].....x(cm).......

88. ## Math

Evaluate *Note - We have to find the exact value of these. That I know to do. For example sin5π/12 will be broken into sin (π/6) + (π/4) So... sin 5π/12 sin (π/6) + (π/4) sin π/6 cos π/4 + cos π/6 sin π/4 I get all those steps. The part I am

89. ## physics

A particle moves along the x axis. It is initially at the position 0.280 m, moving with velocity 0.080 m/s and acceleration -0.240 m/s2. Suppose it moves with constant acceleration for 3.10 s. (a) Find the position of the particle after this time. (b) Find

90. ## Physics

1. A particle moving with simple harmonic motion has maximum displacement of 50 cm angular velocity of 1.02rad/s. Calculate the (a) the maximum velocity (b) maximum acceleration of the particle (c) the speed and acceleration of the particle when it is 30cm

91. ## Physics

Directly below on the floor is a stationary 428-Hz source of sound. The microphone vibrates up and down in simple harmonic motion with a period of 2.3 s. The difference between the maximum and minimum sound frequencies detected by the microphone is 2.2 Hz.

92. ## physics

A large block P executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency f = 0.3 Hz. (a) What is the angular velocity of this system?

93. ## Physics

The spring has an unstretched length of 3.00m, and a spring constant of 75.0N/m. The mass of m=7.50kg is attached to the end of the spring, and the mass is pulled down to stretch the spring to 4.50m in length. Thus began the mass moving up and down with

94. ## physics

the motion of a body is described in simple harmonic motion as x=Cos(wt).when the body is 0.2m from the mid of its path , velocity is 3m/s and when it is 0.8m from the center of its path, its velocity is 1m/s ,determine: 1.the period 2.greatest

95. ## science

for a particle executing simple harmonic motion the displacement is 8 cm at the instant the velocity is 6cm\sec and the displacement is 6 cm at the instant the velocity is 8 cm\sec calculate the amplitude?

96. ## Physics

Calculate the ratio of the kinetic energy to the potential energy of a simple harmonic oscillator when its displacement is half its amplitude. Wouldn't it just be K/U=1/1 or just 1 Because at half the amplitude, it's going to be a combination of K and U.

97. ## Physics

A simple harmonic pendulum has a period of 3.19 s and initial speed of 2.12 m/s. Find the length.

98. ## Quantum chemistry

For the simple harmonic oscillator determine: b. [Tˆ,Vˆ ]

99. ## Physics

A simple harmonic oscillator consists of a block of mass 1.70 kg attached to a spring of spring constant 390 N/m. When t = 2.30 s, the position and velocity of the block are x = 0.173 m and v = 2.830 m/s. (a) What is the amplitude of the oscillations? What

100. ## college physics

Calculate the ratio (pure number) of the kinetic energy to the potential energy of a simple harmonic oscillator when its displacement is half its amplitude