Physics pendulum and simple harmonic motion question?
1. Before she lets go, the bob has gravitational potential energy. As she lets go, and the bob lowers in height, the energy is converted to kinetic energy and gains velocity. At the lowest point, the bob contains only kinetic energy, and is at its maximum velocity. As it goes back up, kinetic energy is converted into gravitational potential energy and at the max height again, it only contains gravitational potential energy. Then the whole cycle repeats over again. 2. An ideal mass-spring system would only be ideal if there was no outside interference with the simple harmonic motion. In an ideal system, any friction, heat, or sound created from the system are negligible, along with the mass of the spring, etc. If the mass-spring system is isolated, or ideal, then there would be no dampening of the oscillation and the mass would oscillate indefinitely
Physics question about Simple Harmonic Motion? Why does the mass affect the period of the spring? Conceptually?
I know you're not asking for formula's, as you already know an understand them, but... F_max = k A (where A = amplitude) and F_max = m a (where a = accelertation at position A) so k A = m a Now... The spring constant k remains constant The amplitude A remains constant (you choose for yourself how far you initially stretch or compress the spring) This means that using a bigger mass will result in a smaller acceleration. Smaller acceleration means more time needed to make the displacement. OR This means that using a smaller mass will result in a bigger acceleration. Bigger acceleration means less time needed to make the displacement. "More time" or "Less time"... both affect the period ;-)
A Level Physics simple harmonic motion question, please help?
assume that the cos is 'natural' so 2770/2/pi is the frequency this is 440.86 Hz and nice for a tuning fork (near middle A note). http://hyperphysics.phy-astr.gsu.edu/hba... says a 17.5cm length of closed pipe will resonate around here when full of air but sound travels faster in milk so I can't understand why the bottle should resonate at that particular frequency :( ah well - it clearly does resonate and the other 9 are at non-resonant frequencies.
Physics A2 Level - Simple Harmonic Motion (2)?
Half a coconut of mass 0.25kg is suspended from a tree branch by a light piece of string of fixed length 0.4m. A sudden gust of wind displaces the bob from its equilibrium position and the centre of mass of the coconut rises 20cm above its rest position. Calulate:- a)Time Period b)Potential Energy as it reaches it max height c)Kinetic Energy at max height d)Maximum Speed e)Maximum Tension a) =1.27 agree? b)ur suppose to use 0.5*m*(w^2)*(x^2) and (w^2) = 0.4/9.8 but i dont know what is meant my x c)ur suppose to use 0.5*m*(w^2)*((x0^2)-(x^2)) d)? e)?
What are the conditions necessary for a simple harmonic motion?
The conditions necessary for a simple harmonic motion can be easily understood if we first look at oscillations because simple harmonic motion is a special kind of oscillation.All the conditions necessary for oscillation to take place are definitely required for simple harmonic motion.Oscillations are to and fro periodic motion about a mean position. Here comes the first condition .Requirement of mean position :It means there should be a mean position available in the system. It is the position where net force on the body is zero.Restoring force/ restoring torque: If we observe the definition the motion should be to and fro. For to and fro motion we need a force that always bring the particle towards mean position. Such a force is called restoring force(and restoring torque in case of angular oscillations).For example in case of simple pendulum gravitational force acts as restoring force. In case of oscillation of a spring block system spring force acts as a restoring force.Variable force : Only a variable force can result in oscillations. A constant force can never result in oscillations. For example spring block system oscillates and in this case spring force provides the restoring force which is a variable force.Stable equilibrium position: Point no. 1 says we need a mean position. The another name of mean position is equilibrium position.There are three types of equilibrium namely stable, unstable and neutral equilibrium(although we have a meta stable equilibrium as well).Only a position of stable equilibrium position(mean position ) would result in oscillations.External disturbance: When the particle is initially in mean position the net force acting on it is zero. So by itself it will not start oscillating. Some external disturbance is initially required for it to start oscillatingThe conditions mentioned above must be present for oscillation to take place.Definitely for simple harmonic motion we have an additional condition of restoring force being proportional to the displacement from mean position. Here you can validate point number 3. (requirement of a variable restoring force).
A level physics question (SHM)?
With m the pan mass, M that of the weight and k the stiffness of the spring, the differential equation of the displacement is (M+m)x"+kx=0. So the angular frequency is w=sqrt(k/(M+m)) and the displacement is given by x = a(1+coswt) if a is the amplitude and x=0 is taken as the lowest point. (x axis oriented +upwards) The force acting on the mass is Mx" = -Maw^2coswt = P+R if P is the weight and R the reaction of the pan. The contact will be kept as long as R > 0. Now R = -P -Mx" = M(g-aw^2coswt) which will always be positive iff g > aw^2 or a
Help with PHYSICS. about Mass on spring in simple harmonic motion.?
Yes. In simple harmonic motion, the period of a system (time for 1 oscillation) is independent of the amplitude. That means the average speed must be proportional to the amplitude. For example if the period is 3s and the amplitude is 6cm, then the distance covered in 1 oscillation = 4x amplitude = 4x6cm = 24cm. The average speed = 24cm/3s = 8cm/s. Doubling the amplitude to 12cm does not change the period - it is still 3s. That means the average speed = (4x12)/3 = 16cm/s. If the amplitude is increased, the average speed mus increases proportionally, so that period is unchanged.
Need help with Math (simple harmonic motion)?
Can someone please explain how to do this: For an object in simple harmonic motion with amplitude a and period 2π/ω, find an equation that models the displacement y at time t under the following conditions. (a) y = 0 at time t = 0 y = (b) y = a at time t = 0 y =
What are the different characteristics of simple harmonic motion physics?
These are Basic Conditions and characteristics for a body to exhibit SHMA restoring force must act on the body.Body must have acceleration in a direction opposite to the displacement and the acceleration must be directly proportional to displacement.The system must have inertia (mass).SHM is a type of oscillatory motion.It is a particular case of preodic motion. It can be represented by a simple sine or cosine function.
Help with physics a-level, please?
an object oscillates with simple harmonic motion along the x axis. its displacement from the origin varies with time according the equation: x=(4.00 m) cos (лt + л/4) where t is in seconds and the angles in the parentheses are in radians a) determine the amplitude, frequency, and period of the motion b) calculate the velocity and acceleration of the object at any time t. c) using the result of part (b), determine the position, velocity, and acceleration of the object at t=1.00 s d) determine the maximum speed and maximum acceleration of the object e) find the displacement of the object between t=0 and t=1.00 s please anyone????