Harmonic motion Definition and 1000 Threads

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...

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...

Homework Statement A ball dropped from height 4.00m makes an ellastic collision with the ground. Assuming no mechanical energy is lost to air resistance. a) show that the motion is periodic b) determine period of motion c) is the motion simple harmonic? Homework Equations...

Homework Statement http://img209.imageshack.us/my.php?image=springzu4.png Determine the motion of this mechanical system satisfying the initial conditions :- y1(0) = 1 y2(0) = 2 y1'(0) = -2*sqrt(6) y2'(0) = sqrt(6) Hint : there are 4 different methods you can use to solve this...

Do you think that the daily movement of a student from home to university then again from university to home is an example of simple harmonic motion ? Please give the arguments in support of your point of view.

Homework Statement A spring mass system has the following parameters: Mass m=1 kg, spring constant k=100 N/m. The oscillations are started by initially displacing the mass so that the spring is compressed by 0.5 cm and releasing it from rest. What is the speed of the mass (in m/s) when it...

Hi all. I've this problem and I'm stuck on the part where I have to find the total energy. Homework Statement A 507 g mass oscillates with an amplitude of 10 cm on a spring whose spring constant is 20 N/m. At t =0s the mass is 5.0 cm to the right of the equilibrium position and moving to the...

SHM - Simple Harmonic Motion Question Homework Statement Two particles oscillate in SHM along a common straight-line segment of length A. Each particle has a period of 1.5s, but they differ in phase by π/6 rad. a. How far apart are they 9in terms of A) 0.50s after the lagging particle...

in SHM average K.E when done w.r.t to time is equal to average potential energy calculated w.r.t to time. but today in class when my sir asked me to to prove average K.e = average P.E I just tried integrating it w.r.t to displacement and then divided it with A , I thought this gives us av...

[SOLVED] Simple Harmonic Motion - Floating Object Homework Statement The problem states that an object is pushed down and released. It is floating. The density is P(block) and the area is A and its height is h The fluid's density is P(fluid) The Problem asks to show that it executes...

The world's least exciting carnival ride consists of a cloth sling (of negligible mass) hanging by a spring of force constant k = 225 N/m. Children sit in the sling and bob up and down slowly. How exciting ... Little Sally tries the ride. She gets into the sling, and, after Cletus the Carny...

An elevator of mass M = 300 kg hangs at the end of a long, thin steel cable: it has length L = 96 m and diameter d = 3 mm. A minor earthquake shakes the entire building. After the quake passes, the elevator continues to bob up and down for a long time. What is the period of oscillation? i used...

In simple harmonic motion example there is a question velocity max is given velocity at time = 0 is given (which is not equal to maximum velocity --> not at equilibrium point at time=0) graph is also given of the velocity function IT asks to find the phase angle in the solution they...

Homework Statement A body is in simple harmonic motion of amplitude 0.50m and period 4pie seconds. What is the speed of the body when the displacement of the body is 0.30 m? Homework Equations Would it be x=Acos2(pie)ft ? The Attempt at a Solution I tried substituing in x=...