Simple harmonic motion Definition and 917 Threads

Figure 1 shows a mass m in equilibrium between two stretched helical springs on a smooth horizontal surface. k_1 and k_2 are the force constants of the springs and e_1 , e_2 are their respective equilibrium extensions. The mass m is displaced X to one side ( X is smaller than e_1 and e_2 )...

I have a short question: an object undergoes simple harmonic motion with a period T and amplitude A. How long does it take the object to travel from x = A to x = A/2 ? the answer is T/6, but I am not sure how to get to that, Do I get it from x = Acos(2pi/T xt)? help :cry:

I saw this in an old, junior-level, classical mechanics textbook and haven't been able to figure it out. A particle undergoing simple harmonic motion has a velocity: \frac{dx_1}{dt} when the displacement is: x_1 and a velocity \frac{dx_2}{dt} when the displacement is...

i'm stuck on two problems deal wih SHM 1)A mass of .5 kg is attached to a vertical spring and slowly lowered to its equilibrium position; this stretches the spring by 10 cm. Then the mass is placed below in the position whre the stretch of the spring is 15 cm, and released. calculate the...

A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is near the Earth in a uniform gravitational field. (If A and E are true, and the others are not, enter TFFFT). A) If the ship accelerates upward, the period decreases. B) If the ship goes into...

A body oscillates in SHM according to the equation, x = A cos(wt + f) where A = 8.8, ω = 1.070, and φ = 0.420. Assume all quantities are in SI units. What is the period? I don't know how to get the period from this equation? Can anyone lead me in the right direction, please? Thanks! ~Dave W.

a small creature moves with a constant speed in a vertical circle on a bright day.does its shadow formed by the sun on a hortizantal plane move in simple harmonic motion

i was just wondering if anybody knew where i could find the equation for simple harmonic motion (SHM). I have found loads but not the right one. i need the one that starts... y=e(^-3wnt)*Asin(wdt)+(Asin(wt)/SQRT(l-(w^2/wn^2)^2+... anyone got any ideas? got assignment to hand into uni tomorrow...

I've scrolled through other SHO problems and can't really find what I need. I have a homework-test thing and it's only on revision from high school (just started university) and I can't even get it all right! Q1) A mass m at the end of a spring vibrates with a frequency of 1.06 Hz. When an...

simple harmonic motion and specific gravity. PLEASE HELP! The problem I need help with is this: In his lecture, Dr. Dyson argued that one could determine the specific gravity of a wine in the absence of a hydrometer. To demonstrate this he constructed a 100g weighted cylinder of Length (L) and...

Problem 3. A 127 N object vibrates with a period of 3.45 s when hanging from a spring. The acceleration of gravity is 9.81 m/s^2. What is the spring constant of the spring? Answer in N/m. Note: How would one solve this type of problem? Problem 8. A spring with a spring...

a particle of mass m moving in such manner that its displacement x varies with time t following equation x = a sin wt. ( w = omega ) where a and w are constants. what is the average KE for the motion of the particle in one rev? isnt the answer suppose to be 1/2 mw(sq)a(sq) ?

The bow of a 5.0E6 kg destroyer undergoes a simple vertical harmonic motion with a period of 8.0 s and amplitude of 2.0 m. The motion of the boat is recorded by a sailor. At t = 0 s, the boat is at 40 cm above the equilibrium point with an initial velocity of -25 cm/s. a) Find the phase...

DO NOT GIVE ME THE ANSWERS, JUST TELL ME HOW MANY ARE WRONG AND I WILL RESEARCH ALL THE ANSWERS. F. Simple harmonic motion can be represented by a sine curve T. A violin string which vibrates with a frequency of 196 Hz produces a sound wave with a a frequency of 1/196 Hz F. A pendulum with...

I just need someone to tell me if I've done the problem right since the answer is mysteriously missing The question is about a rotating wheel causing a piston to execute SHM inside a cylinder (the piston being connected to the outside of the wheel). The wheel rotates with an angular speed...

The chapter I'm reading is titled simple harmonic motion and the reference circle. I am so completely lost. It's talking about displacement, velocity, acceleration, and frequency of vibration. I understand displacement, velocity, and acceleration on a linear and angular level. I guess I'm...

Why is there a '-' sign in the equation a= -w.w.y where a is the centripetal acceleration , w is the angular velocity and y is the displacement[?]