Simple harmonic motion Definition and 917 Threads

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...

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] 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...

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...

[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] 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...

"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...

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...

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...

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=...

Problem: Prove that it is valid to model a particle in a smooth hemispherical bowl as a simple pendulum, provided its maximum displacement is small. Answer: Usually, a FBD is used along with Newton's 2nd, and then the small angle approximation is used twice (once for siintheta in the weight...

Homework Statement A horizontal plank (m = 2.0 kg, L = 1.0 m) is pivoted at one end. A spring (k = 1.0 x 10 3 N/m) is attached at the other end, as shown in the figure. Find the angular frequency (in rad/s) for small oscillations Homework Equations w = (mgd/I)^0.5 I= 1/3 ML^2...

Homework Statement The motion of a particle is described by x = 10 sin (piet +pie/2 ). At what time ( in second ) is the potential energy equal to the kinetic energy ? Homework Equations KE = 1/2 mv^2 PE=1/2 Kx^2 The Attempt at a Solution V=pie10cos(piet + pie/3) V^2 = pie^2...

I'm confused on part of an AP Physics lab on "Simple Harmonic Motion from a Force Perspective." Using a hanging spring & mass, motion detector, and CBL unit/Ti-83 graphing calculator, we used the calculator's graphs to create equations that included the amplitude, angular frequency, the phase...

A 1.3 kg object oscillates with simple harmonic motion on a spring of force constant 410.0 N/m. The maximum speed is 0.7 m/s. What is the total energy of the object and the spring? Do I just set it up like this: 1/2*410*x^2=1/2*1.3*.7^2 to get the max x Then do I just add them up

[SOLVED] Simple Harmonic Motion Homework Statement Four people, each with mass of 71.1 kg, are in a car with a mass of 1180 kg. An earthquake strikes. The vertical oscillations of the ground surface make the car bounce up and down on its suspension springs, but the driver manages to pull of...

Homework Statement An ideal spring has a spring constant k = 29 N/m. The spring is suspended vertically. A 1.4 kg body is attached to the unstretched spring and released. It then performs oscillations. (a) What is the magnitude of the acceleration of the body when the extension of the...

Hello, I have problems solving the following two problems: 1)You measure the period of a physical pendulum about one pivot point to be T. Then you find another pivot point on the opposite side of the center of mass that gives the same period. The two points are separated by a distance L. Use...