Simple harmonic motion Definition and 917 Threads

Homework Statement Okay, so we've got a solid cylinder attached to a horizontal massless spring that rolls without slipping along a horizontal surface. The system is released from rest with the spring stretched past the equilibrium point. (The first two parts of this problem ask for...

I am having a hard time solving for k in the equation T = 2 x pi sq. rt. (m/k) I know this is simple algebra but its keeping me from solving this.

Homework Statement A 2.00-kg object is hanging from the end of a vertical spring. The spring constant is 50.0 N/m. The object is pulled 0.200m downward and released from rest. Complete the table below by calculating the translational kinetic energy, the gravitational potential energy, the...

Homework Statement What is the connection between simple harmonic motion and pendulum motion? Homework Equations Harmonic motion period=T=2piroot(m/k) Pendulum motion period=T=2piroot(L/g) The Attempt at a Solution Conservation of momentum?? Thanks for any help!

Homework Statement A 0.25-kg mass is attached to the end of a spring that is attached horizontally to a wall. When the mass is displaced 8.5 cm and then released, it undergoes SHM. The force constant of the spring is 1.4 3 102 N/m. The amplitude remains constant. (a) How far does the mass...

Homework Statement I need to find the phase difference between two pendulums. My problem is that I don;t seem to have enough information to calculate the phase for the second pendulum (I have already calculated the phase for the first). The pendulum is 0.35m long, and is at 0.00rad at...

There is a horizontal spring-mass system lie on top of a frictionless table. let m=mass k=spring constant x=displacement from equilibrium position A=amplitude T=period By using conventional way, time taken to complete a quarter of cycle=T/4=(∏/2)√(m/k) consider another way of doing...

Hi, I have this simple harmonic motion lab, it can't be a simple pendulum lab where you manipulate mass or length of string, it can't be a spring with hanging weight either, I really have no idea what to do, is there any other way to demonstrate simple harmonic motion? thanks.

Homework Statement A mass of 0.3kg is suspended from a spring of stiffness 200Nm-1. If the mass is displaced by 10mm from its equilibrium position and released, for resulting vibration, calculate: a) the maximum velocity of the mass during the vibration Homework Equations Angular...

Homework Statement Mass is attached to a spring and set into a vibratory motion. m=0.10 kg f=2.5 Hz Homework Equations f=1/2pie{sqrt(k/m)} The Attempt at a Solution Trying to find k (force constant) I tried using the equation above but I can't get the right answer...

Homework Statement Given that a spring with a ball of mass m attached to it is oscillating in between x=A and x=-A where x=0 is the equilibrium position. Will the equilibrium position change when the the mass of the ball is doubled? 2. The attempt at a solution I think that the...

Homework Statement A mass of 0.3kg is suspended from a spring of stiffness 200Nm-1. If the mass is displaced by 10mm from its equilibrium position and released, for resulting vibration, calculate: a) the frequency of vibration b) the maximum velocity of the mass during the vibration c) the...

Homework Statement A bolt of mass 2.10×10^-2 kg moves with SHM that has an amplitude of 0.245 m and a period of 1.495 s. The displacement of the bolt is + 0.245 m when t=0. A.) Find the displacement of the bolt at time t=0.500s Homework Equations The Attempt at a Solution Part...

x = xo + Asin(ωt + ∅) I know all of the values, except for ∅. But i don't know how to get the value for ∅ The attempt at a solution: 0.349 = 0.367 + 0.413Sin(8.5 * 0.8938 + ∅) -0.018 = 0.413Sin(7.5973 + ∅) -0.04358 = Sin(7.5973 + ∅) From here on, i am confused, I tried using the...

Homework Statement a cylinder is in a deep pool of liquid. it has mass 2kg, diameter 10cm, height 15cm. the density of the liquid is 1.5g/cm^3. The cylinder is submerged up to 12cm, and let go. Show that the resulting motion is simple harmonic. Homework Equations x=Acos(wt)...

Homework Statement A spring of negligible mass have an original length of 1m. A load of 2kg is later added to it, resulting in an extension of 0.1m. Then it is pulled 0.02m and released. What is the amplitude of the simple harmonic motion. erm basically I just want to know which is the...

This is the question: A massless spring with a spring constant of 0.50 N/m, has a mass of 0.7 kg on its end. The maximum speed of the end is 2.5 m/s. What is the angular frequency of the system? I don't know how to approach this problem at all. I just know that omega/2pi is the...

Homework Statement Kindly go through the attachment. (i) vcosθ in a direction parallel to OY. (ii) vsinθ in the direction perpendicular to OY. The component vsinθ has no effect along YOY' since it is perpendicular to OY My doubt is "Why the perpendicularity of vsinθ to OY...

Homework Statement A spring with spring constant 150 N/m hangs from a ceiling. A 2.00 kg mass is attached to the end of the spring and released. a) How far below its unstretched position will the mass be in equilibrium? b) How far below its unstretched position will the mass fall? c) Taking...

Homework Statement What is the initial phase angle of this graph that describes a simple harmonic motion? Homework Equations The Attempt at a Solution I don't have any clue about how to find it by watching the graph, I know only an equation to find it. Any help please.

Homework Statement a particle moves to the right along the x-axis with a simple harmonic motion from x0 = 3.0cm in t=0 . if its position x is given by x = 4.0 cos (pi t + phi) , in cms ; find its period T. Homework Equations The Attempt at a Solution The problem ask me more...

Hi, I am a bit confused regarding the relation between the acceleration and time period in simple harmonic motion. This questions asks what would be one change to the motion of a car's wing mirror in case the glass was switched for a heavier one. I don't understand for example, how would...

Hi, I am not very good with questions that ask me to asses a scenario qualitatively in SHM... So, if you guys can maybe guide/advise me how to go about these here: 1.A body is suspended vertically at the end of a spring that is attached to the ceiling of an elevator. The elevator moves...

Hi, 9 (a) Write down an equation for the displacement of a particle undergoing SHM with an amplitude equal to 8.0 cm and a frequency of 14 Hz, assuming that at t = 0 displacement is = to 8.0 cm and the particle is at rest. What I got (and this agrees with the book) was: x = 8.0 cos...

hi I am just saw this phenomenon and see if there is any links to the topic that I am learning in school. So when i rolled a half full (depends on how optimistic you are :smile:) water bottle with a certain amount of force, the bottle went back and forth for a little while before stopping...

Hi, i need some help for a physics question: when is acceleration at maximum and when is acceleration at minimum in a simple harmonic motion. i know when the speed is at maximum: at the equilibrium position; however, i do not know about the acceleration. Please note that direction does not matter

Hi, :smile: Assuming that the motion of the hydrogen atom is simple harmonic, its frequency of oscillation, f, is given by the expression: f = 1 / 2π * √(k/m) where k is the force per unit displacement between a hydrogen atom and the carbon atom and the m is the mass of a proton. (i)...

Homework Statement A mass sits on a platform undergoing simple harmonic motion in the vertical direction. The mass loses contact with the platform when the amplitude exceeds 6.2 cm. What is the frequency, f (in Hz), of the platform’s vibration? Take g = 9.8ms−2. Homework Equations...

Motion of particle shows a max acc. of 30 m/s2 and a frequency of 120 cycles per minuet. assuming SHM determine, the amplitude and max velocity. i found the sqrt of k/m to be 12.57 even though neither was given and the frequency to 2 cycles/sec. i do not know what relations to use to work...

if you have the equation: x(t) = Acos(ωt + ϕ) and you have the following information: A 200 g block hangs from a spring with spring constant 10 N/m. At t = 0s the block is 20 cm below the equilibrium position and moving upward with a speed of 100 cm/s. The answers give a short method of...

Homework Statement Hi I need some clarification on this question A light elastic string of natural length 50 cm and modulus 20 N has one end fastened to O on a smooth horizontal table. The other end has a particle of mass 0.4 kg attached to it and the particle is released from rest at a...

1. Homework Statement Find the time taken to reach half the maximum angular displacement in a PENDULUM. Given that the bob hanging at rest was given an initial velocity of 2ms, and the length of the string is 6m. 2. Homework Equations finding the angular velocity using sqrt.(g/l)...

1. Two people build precison timing devices, one with a simple pendulum, one with a simple mass-spring. Each is to have a period of 2 s. The Fg = 9.8 m/s^2. Select the appropriate parameters for this to happen. Part B - which device is more precise at the equator? 2. I have no idea :(...

Homework Statement The figure attached shows the meter used to study the motion yB = bsinωt. The motion of the mass relative to the frame is recorded on the drum. If l1= 360 mm, l2= 480 mm, l3= 600 mm, m = 0.9 kg, c = 1.4 Ns/m and ω = 10 rad/s, Determine the range of the spring...

Homework Statement Atoms in a solid are not stationary, but vibrate about their equilibrium positions. Typically, the frequency of vibration is about f = 2 E12 Hz and the amplitude is about 1.1 E-11m. For a typical atom, what is its (a) maximum speed? Homework Equations T= 1/f. v = change...

Homework Statement A 0.155 kg mass is attached to a spring and executes simple harmonic motion with a pe- riod of 0.63 s. The total energy of the system is 1.9 J. Find the force constant of the spring. Homework Equations E=1/2(kA^2) The Attempt at a Solution We went...

Homework Statement The drawing shows a top view of a frictionless horizontal surface, where there are two springs with particles of mass*m1*and*m2*attached to them. Each spring has a spring constant of*120*N/m. The particles are pulled to the right and then released from the positions shown in...

Homework Statement A 2kg particle undergoes simple harmonic motion according to x=1.5sin((pi*t/4) + Pi/6) A)What is the total mechanical energy of the particle? B) Shortest time for particle to go from x=.5m to x=-.75m Homework Equations Potential energy=.5kx^2 The Attempt at a...

Homework Statement During an earthquake, a floor oscillates horizontally in approximately simple harmonic motion. Assume it oscillates at a single frequency with a period of 0.84 s. After the earthquake, you are in charge of examining the video of the floor motion and discover that a box on...

Homework Statement A 5g bullet is fired horizontally into a 0.50kg block of wood resting on a frictionless table. The block, which is attached to a horizontal spring, retains the bullet and moves forward, compressing the spring. The block-bullet system goes into SHM with a frequency of 9Hz...

A 2kg body, moving under the influence of a force constant of 3.16N/m, vibrates in SHM with an amplitude of 30mm. Determine the speed and the acceleration, a) at the midpoint of the vibration (ie. zero displacement) b) at the end of the path (ie. Max displacement) c) at a point 20mm from the...

Homework Statement A block with mass m =7 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.23 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.7 m/s. The block oscillates on the spring without...

Homework Statement x = 0.20m*sin(0.44 rad/s * t) Write the equation for the velocity of this object. Find the velocity at t = 4:0 s. Homework Equations The Attempt at a Solution well, i know that v(t)= - wAsin(wt +\phi) and we know the w = 0.44 rad/s A = 0.20 s t=4...

Homework Statement A particle executes simple harmonic motion along a straight line with mean position at x=0, period 20s and amplitude 5cm. The (shortest) time in seconds taken by the particle to got from x=4cm to x=-3cm is? The Attempt at a Solution Let the equation be x=Asin(wt+Φ)...

Homework Statement A man floating in water was spotted by fishermen on a boat. Before taking him on board, the man was put on a fish scale to see how much he weighed. The reading on the scale oscillated between 72kg and 178kg. The wave speed was measured to be 16 m/s. The wave height was 3 m...

Homework Statement A block of mass 300 gm is attached to a spring with spring constant 1000 N/m. A smaller block of mass 100 gm is pushed against the first block, compressing the spring 5 cm. The coefficient of static friction between the two blocks is u = 0.2. The blocks are then released...

Homework Statement 1. Modeling. Functions. A student measures the length L = 3 feet of a light (0.1 grams) string and the mass m = 7 kilograms of a small (radius of 0.0005 inches) bob at the end of the string. The students also knows the value of acceleration due to gravity g = 9.8...

(This isn't homework) I've been crating some notes, and noticed that we haven't been told one equation. I know for: \frac{d^2 x}{dt^2} = \frac{-kx}{m} -\frac{b}{m} \frac{dx}{dt} I know the displacement is: x = A \omega e^{-bt/2m} cos(\omega t+ \phi) [Ie damping] I know for...

Homework Statement A 590.0 g mass oscillates with an amplitude of 11.4 cm on a spring whose spring constant is 27.7 N/m. At t=0.00 s the mass is 3.14 cm to the right of the equilibrium position and moving to the right. Homework Equations x(t)=Acos(Wt + phi) The Attempt at a Solution...

Homework Statement In the given figure, all the springs and pulley are ideal and surface is frictionless. The rod is massless. The time period of horizontal oscillations of the block is? The Attempt at a Solution I used two different approaches and both give different and wrong...