Harmonic motion Definition and 1000 Threads

I'm investigating damped oscillations using a mass held between two springs. In the experiment, I measured the spring constant using a method which now doesn't make sense. I measured it by hanging masses from ONE vertical spring and graphing the force exerted by spring (mass times 9.8)...

x=xocos(2pi t/T), where xo is the maximum amplitude of oscillation and T is the period of oscillation. Find expressions for the velocity and acceleration of a car undergoing simple harmonic motion by differentiating x. [Answer: a=–(2pi/T)^2(Xo)cos(2pi t/T).] QUESTION: If xo = 0.3 m and T...

A 1000 kg car carrying two 100 kg football players travels over a bumpy "washboard" road with the bumps spaced 3.0 m apart. The driver finds that the car bounces with a max amplitude when he drives at a speed of 5.0 m/s. The car then stops and picks up three more 100 kg passengers. By how much...

Homework Statement A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height of 3.0 cm above the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 10 cm. What is the oscillation frequency...

hi i ned a little help with this problem please. An object is connectedto a 100 coil spring, that is hanging from the ceiling. The spring stretches by 0,160m. What is the spring constant? Im not sure how to go about with this...is the force 100? please help. Thanks

my question is: is there a way to find the work done to a spring when the only variable given is the distance (x)?? Homework Statement For the pressure gauge, what work is done by the air on the spring? Homework Equations W = 1/2kx2 Fx = kx The Attempt at a Solution I can't...

A 780-g mass is attached to a vertical spring and lowered slowly until the mass rests at its equilibrium position 30 cm below the original length of the spring. It is then set into simple harmonic motion. (a) What is the frequency and period of the oscillation? (b) What is the maximum...

Homework Statement A particle moves with simple harmonic motion of period \frac{\pi}{2} . Initially it is 8cm from the centre of motion and moving away from the centre with a speed of 4 \sqrt{2} cm/s. Find an equation for the position of the particle in time t second.Homework Equations x =...

Homework Statement For simple harmonic motion calculate the average value of KE and PE in space and time using \frac{1}{t_2-t_1}\int^{t_2}_{t_1}{f(t)dt (and the similar version for space)The Attempt at a Solution For time I get <KE> = 1/4 kA^2, <PE> = 1/4 kA^2 which makes sense but for space...

Hi, wondering if someone could help me with the following question. A mass is hung from the lower end of a light vertical spring, whose upper end is fixed. The mass is pulled down and released and the time period of the oscillating system is measured. If the time period is 0.25s and the...

been working on this for a long time, haven't got far, keep getting a negative mass! Homework Statement A 440 g block on a frictionless surface is attached to a rather limp spring of constant k = 8.7 N/m. A second block rests on the first, and the whole system executes simple harmonic...

Homework Statement mass = 1.8kg given equation in problem x(t) = (7.40cm)cos[(4.16s^-1)t - 2.42] *when i tried solving i converted 7.40cm to 0.074m find the position of the mass at t = 1.00s Homework Equations x(t) = (7.40cm)cos[(4.16s^-1)t - 2.42] The Attempt at a Solution...

Hi everyone, Could someone please help me with this problem? Homework Statement In an engine, a piston oscilates with simple harmonic motion so that its position varies according to the following expression, where x is in centimeters and t is in seconds. x=5.00cmcos(3t+pi/5) a. At...

Homework Statement A system has a period of 3 seconds. The 4 kg mass oscillates with an amplitude of 0.7 meters. At what position is 50% of its energy in the form of kinetic energy and what is its velocity then? Homework Equations work = Potential energy + Kinetic energy (1/2)kA^2 =...

Homework Statement A spring is hung from the ceiling. A 0.400 kg block is then attached to the free end of the spring. When released from rest, the block drops 0.150 m before momentarily coming to rest. (a) What is the spring constant of the spring? (b) Find the angular frequency of...

Homework Statement A 15.8 kg block and a 31.6 kg block are resting on a horizontal frictionless surface. Between the two is squeezed a spring (spring constant = 1868 N/m). The spring is compressed by 0.152 m from its unstrained length and is not attached permanently to either block. With...

[SOLVED] Harmonic Motion of Pendulum on Mars Homework Statement The problem is as follows: The acceleration due to gravity on Mars in 3.7m/s^2. A mass is suspended from a spring with a force 10 N/m. Find the mass suspended from this spring that would result in a one second period on Earth...

[SOLVED] Simple Harmonic Motion, Finding Time Homework Statement A 0.400 kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate the time interval required for the object to move from x = 0 to x = 4.00...

[SOLVED] Simple Harmonic Homework Statement A 1.00 kg object is attached to a spring and placed on a horizontal, smooth surface. A horizontal force of 19.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object...

Homework Statement Is the daily movement of a student from home to school and back simple harmonic motion? Homework Equations The Attempt at a Solution I don't think it is. This type of movement is linear. It involves distance, speed and so on. It does not follow a sinusoidal...

[SOLVED] Simple Harmonic Motion (Mass on a Spring) Homework Statement A solid cylinder of mass M= 10.8 kg is attached to a horizontal massless spring so that it can roll without slipping along a horizontal surface, as shown in the Figure. The force constant of the spring is k= 346 N/m. The...

[SOLVED] Dampened Harmonic Motion Homework Statement A mass M is suspended from a spring and oscillates with a period of 0.900 s. Each complete oscillation results in an amplitude reduction of a factor of 0.985 due to a small velocity dependent frictional effect. Calculate the time it takes...

Homework Statement What is the amplitude of a pendulum whose angle is given by (.10 rad)cos(5t + pi) where t is in sec. Homework Equations s(t)=Acos(omega*t+phase constant) Theta(t)=thetamax*cos(omega*t+phase constant) The Attempt at a Solution I'm not quite sure if I did this...

[SOLVED] Simple Harmonic Motion question Homework Statement A 0.27 kg block oscillates back and forth along a straight line on a frictionless horizontal surface. Its displacement from the origin is given by the following equation. x = (15 cm)cos[(5 rad/s)t + /2 rad)] (a) What is the...

Homework Statement This is my first post here. I'm particularly unsure about b(ii) Thanks for any and all replies! I apologize in advance if I haven't used the correct conventions, but I hope that this is legible. I will learn the correct conventions for future posts but was pressed...

Homework Statement A block, attached to a spring, moves in Simple Harmonic Motion on a horizontal frictionless table. The displacement from equilibrium is given by x = xm cos (ω t + φ ) where x is positive to the right of the equilibrium position. The frequency of the motion is 3.10 Hz and...

Homework Statement A ball is dropped from a height of 10 meters onto a hard surface so that the collision at the surface may be assumed elastic. Under such conditions the motion of the ball is (A) simple harmonic with a period of about 1.4 s (B) simple harmonic with a period of about 2.8...

[SOLVED] Simple Harmonic Motion Homework Statement A cheerleader waves her pom-pom in simple harmonic motion with an amplitude of 18.0 cm and a frequency of 0.850 Hz. Find (a) the maximum magnitude of the acceleration and of the velocity; (b) the acceleration and speed when the pom-pom's...

Homework Statement A large block P executes horizontal simple harmonic motion by sliding across a frictionless surface with a frequency f = 1.5 Hz. Block B rests on it, and the coefficient of static friction between the two is \mu_s=0.60. What maximum amplitude of oscillation can the system...

Homework Statement A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion the block oscilates back and forth with an angular frequency of 7.0 rad/sec. The drawing indicated the position of the block when the spring is unstrained...

(1)It takes a force of 75 N to compress the spring of a toy popgun 0.18 m to "load" a 0.14 kg ball. With what speed will the ball leave the gun? I used the equation F=kx I solved for K and I got 416 N/m Then I used the equation omega = square root(K/M) I solved for omega and i got 54.5...

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 3 J of work is required to compress the spring by 0.12 m. If the mass is released from rest with the spring compressed 0.12 m, it experiences a maximum acceleration of 19...

1. Hi! I am new to this forum. I was wondering if someone could help me with this problem. Thanks in advance! A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. The mass is then pulled down an additional distance of 12.5 cm and released. What's the displacement from...

HELP-SEE LAST POST-I HAVE NO IDEA WHY THIS IS WRONG (SEE LAST POST) Homework Statement A spring with spring constant 230 N/m vibrates with an amplitude of 12.0 cm when 0.380 kg hangs from it. (a) What is the equation describing this motion as a function of time? Assume the mass passes...

Homework Statement A 2.00 kg mass vibrates according to the equation x = 0.470 cos 8.36t, where x is in meters, and t is in seconds. Assume that x = 0.29 m. (a) Determine the amplitude. .470 (b) Determine the frequency. 1.331 (c) Determine the total...

Homework Statement A fisherman's scale stretches 3.4 cm when a 3.3 kg fish hangs from it. (a) What is the spring constant? (b) What will be the amplitude and frequency of vibration if the fish is pulled down 2.5 cm more and released so that it vibrates up and down?Homework Equations...

Homework Statement If a particle undergoes Simple Harmonic Motion with amplitude 0.34 m, what is the total distance it travels in one period? Homework Equations x=Asin(wt+theta) The Attempt at a Solution I know A, (.34), yet it seems like this problem doesn't give me nearly...

_{}b]1. Homework Statement [/b) The position of a 39.8 g oscillating mass is given by the equation x(t)= (2.00cm)cos(5t- 4.00\pi) where t is in seconds. Determine Velocity at t= 0.250s M= 39.8 g T= 1.2575 rad/s K= 9.95e-1 N/m initial postion= 2 cm Homework Equations V_{x}=...

Homework Statement A light baloon filled wiht helium and with a density of 0.180kg/m^3 is tied to a light string of length L= 3.00m. The string is tied to the ground, forming an "inverted" simple pendulum. The balloon is displaced slightly from it's equillibrium position, as shown in picture...

[SOLVED] Block- spring- bullet- harmonic motion... Homework Statement Your assignment is to make measurements of the muzzle velocity of a bullet. This measurig device consists of a 10kg block which rests on a horizontal surface of negligible mass and is attatched to a hooke's law spring...

[SOLVED] Simple Harmonic Motion I'm really having a hard time solving these two problems. 1. Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 174 N/m. The motion of the object on spring 1 has twice...

Homework Statement Derive the equation for angular frequency for simple harmonic motion of a spring. Homework Equations Derive omega = sqrt(k/m) from F = -kx (sorry i don't know how to use notation) The Attempt at a Solution I asked my teacher how to do this, and he used some...

Homework Statement Hi all, A hard boiled egg, with a mass m=51g, moves on the end of a spring, with force constant k=26N/m. It's initial displacement is 0.300m. A damping force F^{}x=-bv^{}x acts on the egg and the amplitude of the motion decreases to 0.106m in a time of 5.45s. Calculate the...

Concerning damped harmonic motion (eg. mass on a spring, using cardboard discs as dampers); for the equation (below) of the graph describing the effect of different sized dampers on the time taken for amplitude of oscillations to halve, what would b (y-intercept) and n (gradient) represent...

Homework Statement A mass of 5 kilograms dangles from a spring, stretching the spring centimeters when in equilibrium. The mass oscillates vertically in a fluid, with a frictional force times its speed. If initially it starts from rest at an extension below the equilibrium point of...

Homework Statement Concerning damped harmonic motion (mass on a spring using cardboard discs as dampers); for the equation (below) of the graph describing the effect of different sized dampers on the time taken for amplitude of oscillations to halve, what do b (y-intercept) and n (gradient)...

Greetings, Can you recommend a website or sites that has worked examples and discussion of harmonic motion with 2+ springs in various configurations? Thanks Sparky

"A particle moves along the x-axis. It is initially at the position 0.270 m, moving with velocity 0.140 m/s and acceleration -0.320 m/s^2. Assume it moves with simple harmonic motion for 4.50 s and x=0 is its equilibrium position. Find its position and velocity at the end of this time...

Question 1: A 0.1 kg block attached to a spring of force constant 16.9 N/m oscillates with an amplitude of 6 cm. Find the maximum speed of the block. Answer in units of m/s. Question 2: Find the speed of the block when it is 3 cm from the equilibrium position. Answer in units of m/s. Question...

Homework Statement A particle moves along x-axis It is initially at 0.270m moving with velocity of 0.140m/s and acceleration of -0.320m/s^2 Suppose it moves with constant acceleration for 4.50s. Find it's: a) position and velocity at end of time interval next assume it moves with...