Think of a spring-mass system. Large oscillations of this system _________________________ simple harmonic; small oscillations of this system ____________________ simple harmonic
a.are not; are not
b.are not; are
c.are; are
d.are; are not
Simple harmonic oscillation is always due to small oscillations.
So, correct option is b.
Large oscillations of the system are not simple harmonic. But small oscillations of the system are simple harmonic.
Think of a spring-mass system. Large oscillations of this system _________________________ simple harmonic; small oscillations of...
Think of a spring-mass system. Large oscillations of this system _________________________ simple harmonic; small oscillations of this system ____________________ simple harmonic. are; are not are not; are are not; are not are; are
A mass at the end of a spring is undergoing simple harmonic oscillations with amplitude A. a) What fraction of the total mechanical energy is kinetic if the displacement is ⅓ the amplitude? a) In terms of A, find the value of displacement x at which the potential energy equals 1 /16 of the total mechanical energy.
A mass m at the end of a spring of spring constant k is undergoing simple harmonic oscillations with amplitude A. Part (a) At what positive value of displacement x in terms of A is the potential energy 1/9 of the total mechanical energy? Part (b) What fraction of the total mechanical energy is kinetic if the displacement is 1/2 the amplitude? Part (c) By what factor does the maximum kinetic energy change if the amplitude is increased by a factor of 3?
(10%) Problem 1: A 0475-kg mass suspended from a spring undergoes simple harmonic oscillations with a period of 1.7 s. How much mass, in kilograms, must be added to the object to change the period to 2.05 s? tan() |π|( acos0 sin0 cos0 cotan 1 2 3 0 atan0 acotansinhO coshO tanh0 cotanhO O Degrees O Radians END Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining Feedback:--deduction per feedback.
A block-spring system undergoes simple harmonic motion with an amplitude A. 3.1 If the mass is doubled but the amplitude remains unchanged, how will this affect the total energy of the system? 3.2 Can the displacement and the acceleration of the mass be In the same direction? Explain.
A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415 m/s respectively. a) What is the amplitude of oscillations? b) What were the position and velocity of the mass at time t = 0?
During simple harmonic motion, the position, x, in meters, of the mass in a spring-mass system, changes according to the equation: x = (0.25) cos (0.523 t). a) Find the period. T_s of this motion. b) Calculate the time when the position of the mass is +0.2 m from equilibrium.
THE SPRING FORCE AND SIMPLE HARMONIC MOTION To measure and study various characteristics of a mass/spring system, including the spring constant and the dependence of the oscillation frequency on the amplitude of oscillation. i) You will measure the spring constant using two different methods: static and dynamic. ii) You will investigate the dependence of frequency on the amplitude of oscillations. 1. Write the equation that relates the applied force (not the spring force) on a spring to the displacement from...
A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring constant 170 N/m. When t = 1.50 s, the position and velocity of the block are x = 0.126 m and v = 3.090 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?